citationsmath_research.uct.ac.za/...citations_english.pdf · ch. skokos 1 27/05/20 citations...

Ch. Skokos 31/07/20 1

Citations (excluding self and co-author citations)

To Ph.D. Thesis (T.1): Skokos Ch.: 1997, "Numerical and theoretical study of structures in the phase space of

dynamical systems with two and three degrees of freedom", Ph.D. Thesis, Section of Astrophysics, Astronomy

and Mechanics, Physics Department, Univ. of Athens (in Greek).

R.1) Katsanikas M.: 2012, "The structure of phase space in galactic type rotating Hamiltonian systems with three

degrees of freedom", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department,

Univ. of Athens (in Greek).

R.2) Grousouzakou E. : 2000, "Study of the distribution of periodic orbits in perturbed Hamiltonian systems with two



R.3) Dokoumetzidis A. : 1999, "Study of the homoclinic tangle of a Hamiltonian system with two degrees of

freedom", M.Sc. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of

Athens (in Greek).

To book B.1: Bountis T. C. & Skokos Ch.: 2012, "Complex Hamiltonian Dynamics", 255 pages, Springer Series

in Synergetics, Springer-Verlag, Berlin Heidelberg.

R.4) Verhulst F.: 2020, "Variations on the Fermi-Pasta-Ulam chain, a survey", nlin.CD/2003.09156.

R.5) Hirländer S.: 2020, "Exact Solutions of Indirect Transverse Field Effects in Elongated Structures with

Applications to CERN LHC and PS", Ph.D. Thesis, Faculty of Physics, Vienna University of Technology.

R.6) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis,

Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

R.7) Lopez-Pina A.: 2019, "A control approach to complexity: from molecular vibrational dynamics to competition

games on networks", Ph.D. Thesis, Universidad Politécnica de Madrid.

R.8) Fuji K. & Toda M.: 2019, "Time series analysis for multi-dimensional dynamical systems combining wavelet

transformation and local principal component analysis", Prog. Theor. Exp. Phys., 2019, 123A03.

R.9) Nikolov S. & Zlatanov V.: 2019, "Dynamics of a Hamiltonian system with four degrees of freedom", Mech.

Transp. Commun., 17, 1840.

R.10) Zholmaganbetova A.: 2019, "The Dynamics of Hamiltonian Lattices With Application to Hollomon Oscillators".

M.Sc. Thesis, Nazarbayev University, Kazakhstan.

R.11) Miranda Filho L.H., Amato M.A., Elskens Y. & Rocha Filho T.M.: 2019, "Contribution of individual degrees of

freedom to Lyapunov vectors in many-body systems", Commun. Nonlin. Sci. Numer. Simulat., 74, 236–247.

R.12) Tang H., Xing M., Liu Q. & Jiang G.: 2018, "On the periodic orbits of four-particles time-dependent FPU

chains", Advan. Math. Phys., 2018, 4526917.

R.13) Berk J. N.: 2018, " Optical Detection of Radio Waves through a Nanomechanical Transducer", M.Sc. Thesis,

San Diego State University.

R.14) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2018, "The Smaller Alignment Index (SALI) applied in

a study of stellar orbits in barred galaxies potential models using the LP-VIcode", New Astr., 60, 48-60.

R.15) Tarnopolski M.: 2018, "Correlation between the Hurst exponent and the maximal Lyapunov exponent:

Examining some low-dimensional conservative maps", Phys. A, 490, 834-844.

R.16) Zhou Z., Zhang B. & Qiu D.: 2017 "An investigation on frequency characteristics of wireless power transfer

systems with relay resonators", COMPEL - The international journal for computation and mathematics in

electrical and electronic engineering, 36, 1594-1611.

R.17) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2017, "Using the SALI Method to Distinguish Chaotic

and Regular Orbits in Barred Galaxies with the LP-VIcode Program", Prog. Phys., 13, 161-165.

R.18) Wright J.A.: 2016, "Safe basins for a nonlinear oscillator with ramped forcing", Proc. R. Soc. A, 472,

20160190.

R.19) Lopez-Pina A., Losada J.C., Benito R.M. & Borondo F.: 2016, "Frequency analysis of the laser driven

nonlinear dynamics of HCN", J. Chme. Phys., 145, 244309.

R.20) Robnik M.: 2016, "Recent results on time-dependent Hamiltonian oscillators", Eur. Phys. J. Special Topics 225,

1087–1101.

R.21) Zou Y., Donner R.V., Thiel M. & Kurths J.: 2016, "Disentangling regular and chaotic motion in the standard

map using complex network analysis of recurrences in phase space", Chaos, 26, 023120.

R.22) Liu Q.-H., Xing M.-Y., Li X.-X. & Wang C.: 2015, "Unstable and exact periodic solutions of three-particles

time-dependent FPU chains", Chin. Phys. B, 24, 120401.

R.23) Benitez P., Losada J. C., Benito R. M. & Borondo F.: 2015, "Using the small alignment index chaos indicator

to characterize the vibrational dynamics of a molecular system: LiNC-LiCN", Phys. Rev. E, 92, 042918.

Ch. Skokos 31/07/20 2

R.24) Kalogeropoulos N.: 2015, "Ricci Curvature, Isoperimetry and a Non-additive Entropy", Entropy, 17, 1278-

1308.

R.25) Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized

(GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences

(AIMS), Muizenberg, South Africa.

R.26) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem",

Astron. Nachr., 335, 877-885.

R.27) El Behery, R.: 2013, "Identifying system eigenvalues using DSM uncertainty principle approach", ", in

"Reducing risk in innovation, Proceedings of the 15th International DSM Conference", eds. Scheurmann E.,

Maurer M., Schmidt D. & Lindemann U., Verlag, 107-114.

R.28) Antonopoulos C., Bianco-Martinez E. & Baptista M. S.:2014, "Production and transfer of energy and

information in Hamiltonian systems", PLOS ONE, 9, e89585.

R.29) Antonopoulos C., Basios V., Demongeot J, Nardone P. & Thomas R.: 2013, "Linear and nonlinear arabesques:

A study of closed chains of negative 2-element circuits", Int. J. Bifurc. Chaos, 23, 1330033.

R.30) Boozer A.H.: 2013, "Model of magnetic reconnection in space and astrophysical plasmas", Phys. Plasmas, 20,

032903.

R.31) Keshavamurthy S.: 2013, "Scaling perspective on intramolecular vibrational energy flow: Analogies, insights,

and challenges", Advances in Chem. Phys., eds. Rice S.A. & Dinner A.R., 153, 43-110.

To edited volume EV.3: Gottwald G. & Skokos Ch. (eds.): 2014, Chaos, Volume 24, Issue 2. Focus Issue: "Chaos

Detection Methods and Predictability". Editorial: "Preface to the Focus Issue: Chaos Detection Methods and

Predictability", 2014, Chaos, 24, 024201.

R.32) Zou Y., Donner R.V., Thiel M. & Kurths J.: 2016, "Disentangling regular and chaotic motion in the standard

map using complex network analysis of recurrences in phase space", Chaos, 26, 023120.

R.33) Ansmann G.: 2015, "A highly specific test for periodicity", Chaos, 25, 113106.

To edited volume EV.4: Skokos Ch., Gottwald G. & Laskar J. (eds.): 2016, "Chaos detection and predictability",

Lecture Notes in Physics, 2016, Vol. 915, Springer-Verlag, Berlin Heidelberg.

R.34) de Pedro-Carracedoa J., Ugenab A.M. & Gonzalez-Marcosc A.P.: 2019, "Dynamical analysis of biological

signals with the 0–1 test", eess.SP/1906.00782.

R.35) Karmakar S. & Keshavamurthy S.: 2020, "Intramolecular vibrational energy redistribution and the quantum

ergodicity transition: a phase space perspective", Phys. Chem. Chem. Phys., 22, 11139.



R.37) Roque T.F., Marquardt F. & Yevtushenko O.M.: 2020, "Nonlinear dynamics of weakly dissipative

optomechanical systems", New J. Phys., 22, 013049.

R.38) Karmakar S., Yadav P.K. & Keshavamurthy S.: 2020, "Stable chaos and delayed onset of statisticality in

unimolecular dissociation reactions", Commun. Chem., 3, 4.

R.39) Das S. & Bäcker A.: 2020, "Power-law trapping in the volume-preserving Arnold-Beltrami-Childress map",

Phys. Rev. E, 101, 032201.

R.40) Zhang W., Zheng Y., Liu T. & Guo X.Y.: 2019, "Multi-pulse jumping double-parameter chaotic dynamics of

eccentric rotating ring truss antenna under combined parametric and external excitations", Nonlin. Dyn., 98,

761-800.

R.41) Gondelach D.J., Armellin R. & Wittig A.: 2019, "On the predictability of Galileo disposal orbits", Celest.

Mech. Dyn. Astron., 131, 60.

R.42) Datseris G.: 2019, "Ballistic Electron Transport in Graphene Nanodevices and Billiards", Ph.D. Thesis, Georg-

August-Universität Göttingen.

R.43) Lhotka C., Bourdin P. & Pilat-Lohinger E.: 2019, "Orbital stability of ensembles of particles in regions of

magnetic reconnection in Earth’s magneto-tail", Phys. Plasmas, 26, 072903.

R.44) Chen Y., Zhou Y. & Li Y.: 2019, "A Pilot Study of Chaos Criteria with Hilbert Transform and Mutual

Information", J. Phys. Conf. Series, 1302, 022058.

R.45) Gondelach D.J.: 2019, "Orbit Prediction and Analysis for Space Situational Awareness", Ph.D. Thesis,

University of Surrey.

R.46) Paramonov S.V.: 2018, "Pseudo-random sequences identification by probability distribution moments",

Program Systems: Theory and Applications, 9(3), 3–9 (in Russian).

R.47) Maffione NP., Gómez F.A., Cincotta P.M., Giordano C.M., Grand R.J.J., Marinacci F., Pakmor R., Simpson

C.M., Springel V. & Frenk C.S.: 2018, "On the relevance of chaos for halo stars in the solar neighbourhood

II", MNRAS, 478, 4052-4067.

Ch. Skokos 31/07/20 3

R.48) Pouryoussefi S.M. & Zhang Y.: 2018, "Chaos in pulsating heat pipes", Book Chapter

(https://www.researchgate.net/publication/324606165_Chaos_in_Pulsating_Heat_Pipes).

R.49) Huang D.,Chen Q., Ma S., Zhang Y. & Chen S.: 2018, "Wide-Area Measurement—Based Model-Free

Approach for Online Power System Transient Stability Assessment", Energies, 11, 958.

R.50) Iserles A. & Quispel G.R.W.: 2018, "Why Geometric Numerical Integration?", in "Discrete Mechanics,

Geometric Integration and Lie–Butcher Series", eds. Ebrahimi-Fard K. & Barbero Liñán M., Springer

Proceedings in Mathematics & Statistics 267, 1-28.

R.51) Wei S., Yang M., Qi J., Wang J., Ma S. & Han X., 2018, "Model-Free MLE Estimation for Online Rotor Angle

Stability Assessment With PMU Data" in IEEE Transactions on Power Systems, 33, 2463-2476.

R.52) Mithun T., Kati Y., Danieli C. & Flach S.: 2018, "Weakly nonergodic dynamics in the Gross-Pitaevskii lattice",

Phys. Rev. Lett., 120, 184101.

R.53) Firmbach M., Lange S., Ketzmerick R. & Bäcker A.: 2018, "Three-dimensional billiards: Visualization of

regular structures and trapping of chaotic trajectories", Phys. Rev. E, 98, 022214.

R.54) Langer M.: 2017, "3D phase-space slices and frequency analysis for the spatial circular restricted three-body

problem", M.Sc. Thesis, Fakultät für Mathematik und Naturwissenschaften, Technische Universität Dresden.

R.55) Zhang W., Liu T., Xi A. & Wang Y.N.: 2018, "Resonant responses and chaotic dynamics of composite

laminated circular cylindrical shell with membranes", J. Sound Vib., 423, 65-99.

R.56) Hillebrand M.: 2017, "Chaotic Dynamics of DNA Models", Honours Thesis, Department of Mathematics and

Applied Mathematics, University of Cape Town, South Africa.

R.57) Machado R.E.G. & Manos T.: 2016, "Chaotic motion and the evolution of morphological components in a time-

dependent model of a barred galaxy within a dark matter halo", MNRAS, 458, 3578-3591.

To paper BC.1: Skokos Ch.: 2010, "The Lyapunov Characteristic Exponents and their computation", Lect. Notes

Phys., 790, 63-135.

R.58) Chen W., Chen S., Tang J. & Li H.: 2020, "Stability and bifurcation analysis of a bevel gear system supported

by finite-length squeeze film dampers", Nonlin. Dyn., in press.

R.59) Aslanov V., Ledkov A. & Konstantinov M.: 2020, "Chaotic motion of a cylindrical body during contactless

transportation from MEO to LEO by ion beam", Nonlin. Dyn., in press.

R.60) Doan H.: 2020, "An exploration into rings of oscillators using the Ricker model", M.Sc. Thesis, California State

Polytechnic University.

R.61) di Ruzza S., Daquin J. & Pinzari G.: 2020, "Symbolic dynamics in a binary asteroid system", Commun. Nonlin.

Sci. Numer. Simul., 91, 105414.

R.62) Bountis A.: 2020, "Complex Dynamics and Statistics of 1-D Hamiltonian Lattices: Long Range Interactions

and Supratransmission", Nonlin. Phenom. Complex Syst., 23, 133-148.



R.64) Rautenberg M. & Gärttner M.: 2020, "Classical and quantum chaos in a three-mode bosonic system", Phys.

Rev. A, 101, 053604.

R.65) Perre R.M., Carneiro B.P., Méndez-Bermúdez J.A., Leonel E.D. & de Oliveira J.A.: 2020, "On the dynamics of

two-dimensional dissipative discontinuous maps", Chaos Solit. Fract., 131, 109520.

R.66) Panahi S. & Jafari S.: 2020, "A fast technique for calculating master stability function", Int. J. Mod. Phys. B,

34, 2050024.

R.67) Mestre M., Llinares C. & Carpintero D.D.: 2020, "Effects of chaos on the detectability of stellar streams",

MNRAS, 492, 4398–4408.

R.68) Ma D.-Z., Zhang D., Fu G. & Wu J.-P.: 2020, "Chaotic dynamics of string around charged black brane with

hyperscaling violation", J. High En. Phys., 103.

R.69) Fischer C., Zourmba K. & Mohamadou A.: 2020, "Lyapunov exponents spectrum estimation of fractional order

nonlinear systems using Cloned Dynamics", APNUM, 154, 187–204.

R.70) Clerc M.G., Coulibaly S. & Ferré M.A.: 2020, "Freak chimera states in a locally coupled Duffing oscillators

chain", Commun. Nonlinear Sci. Numer. Simulat., 89, 105288.

R.71) Clerc M.G., Coulibaly S., Ferré M.A. & Rojas R.G.: 2020, "Two-dimensional optical chimera states in an array

of coupled waveguide resonators", Chaos, 30, 043107.

R.72) Karabutov N.N.: 2020, "Frameworks Application for Estimation of Lyapunov Exponents for Systems with

Periodic Coefficients", Mekhatronika, Avtomatizatsiya, Upravlenie, 21, 3-13. (in Russian).

R.73) Vallejo J.C. & Sanjuan M.A.F.: 2019, "Chapter 1: Forecasting and Chaos" in "Predictability of Chaotic

Dynamics. A Finite-time Lyapunov Exponents Approach. Second Edition", 1-31, Springer Series in Synergetics,

Springer-Verlag, Berlin Heidelberg.

R.74) Taani A, Abushattal A & Mardini M.K.: 2019, "The regular dynamics through the finite-time Lyapunov

exponent distributions in 3D Hamiltonian systems", Astron. Nachr., 340, 847–851.

Ch. Skokos 31/07/20 4



R.76) Zhang W., Zheng Y., Liu T. & Guo X.Y.: 2019, "Multi-pulse jumping double-parameter chaotic dynamics of

eccentric rotating ring truss antenna under combined parametric and external excitations", Nonlin. Dyn., 98,

761-800.

R.77) Wernecke H., Sándor B. & Gros C.: 2019, "Chaos in time delay systems, an educational review", Phys. Rep.,

824, 1-40.

R.78) Rodríguez Martínez C.A. & Díaz Chávarro S.S.: 2019, Aplicación de la caotificación en la generación sintética

de señales Electrocardiográficas, BSc Thesis, Universidad Distrital Francisco José de Caldas (in Spanish).

R.79) Edson R.A., Bunder J.E., Mattner T.W. & Roberts A.J.: 2019, "Lyapunov exponents of the Kuramoto–

Sivashinsky PDE", ANZIAM J., 61, 270-285.

R.80) du Plessis J.-J.: 2019, "Chaotic Diffusion in Disordered Nonlinear Lattices", Honours Thesis, Department of

Mathematics and Applied Mathematics, University of Cape Town, South Africa.

R.81) Selvam A.G.M., Vignesh D. & Jacob S.B.: 2019, "Dynamic Analysis of a Fractional Order Three Species

Interaction Model with Holling Type II Response", Int. J. Res. Advent Techn., 7, 476-481.

R.82) Olyaee M.H., Khanteymoori A. & Khalifeh K.: 2019, "Application of Chaotic Laws to Improve Haplotype

Assembly Using Chaos Game Representation", Sci. Rep., 9, 10361.



R.84) Alawida M., Teh J. S., Samsudin A. & Alshoura W.H.: 2019, "An image encryption scheme based on

hybridizing digital chaos and finite state machine", Signal Proc., 164, 249-266.

R.85) J. A. Pérez-Hernández J.A. & Benet L.: 2019, "On the dynamics of Comet 1P/Halley: Lyapunov and power

spectra", MNRAS, 487, 296-303.



R.87) Yuan J., Cheng Y., Feng J. & Sun C.: 2019, "Low Energy Flight: Orbital Dynamics and Mission Trajectory

Design", Science Press and Springer Nature Singapore Pte Ltd.

R.88) Minati L., Frasca M., Yoshimura N., Ricci L., Oświęcimka P., Koike Y., Masu K. & Ito H.: 2019, " Current-

Starved Cross-Coupled CMOS Inverter Rings as Versatile Generators of Chaotic and Neural-Like Dynamics

Over Multiple Frequency Decades", IEEEAccess, 7, 54638.

R.89) Lewis-Swan R.J., Safavi-Naini A., Bollinger J.J. & Rey A.M.: 2019, "Unifying scrambling, thermalization and

entanglement through measurement of fidelity out-of-time-order correlators in the Dicke model", Nat.

Commun., 10, 1581.

R.90) Coulibaly S., Taki M., Bendahmane A., Millot G., Kibler B. & Clerc M.G.: 2019, "Turbulence-induced rogue

waves in Kerr resonators", Phys. Rev. X, 9, 011054.

R.91) Alawida M., Samsudin A. & Teh J. S.: 2019, "Enhancing unimodal digital chaotic maps through

hybridisation", Nonlinear Dyn., 96, 601-613.

R.92) Alamodi A.O.A., Sun K., Ai W., Chen C. & Peng D.: 2019, "Design new chaotic maps based on dimension

expansion", Chin. Phys. B, 28, 020503.

R.93) Ani C. J.: 2019, "Chaotic behavior of charged particles in electromagnetic fields", M.Sc. Thesis, Department of


R.94) Vasiliev E.: 2018, "AGAMA reference", astro-ph.IM/1802.08255.

R.95) Mei L. & Huang L.: 2018, "Reliability of Lyapunov characteristic exponents computed by the two-particle

method", Comp. Phys. Comm. 224, 108-118.

R.96) Shefer V.A.: 2018, "Second-order chaos indicators MEGNO2 and OMEGNO 2: Theory", Russ. Phys. J., 60,

1728-1738.



R.98) Sanjaroon V., Farhadi A., Motahari A.S. & Khalaj B.H., 2018, "Estimation of Nonlinear Dynamic Systems over

Communication Channels" in IEEE Transactions on Automatic Control, 63, 3024-3031.

R.99) Xu K., Maidana J.P., Castro S. & Orio P.: 2018, "Synchronization transition in neuronal networks composed of

chaotic or non-chaotic oscillators", Sci. Rep., 8, 8370.

R.100) Tiwary R.D., Kushvah B.S. & Ishwar B.: 2018, "Trajectory of asteroid 2017 SB20 within the CRTBP", J.

Astrophys. Astr., 39, 29.

R.101) Pearson S.: 2018, "Stellar Streams, Dwarf Galaxy Pairs, and the Halos in which they Reside", Ph.D. Thesis,

Graduate School of Arts and Sciences, Columbia University.

R.102) Panichi F. & Turchetti G.: 2018, "Lyapunov and reversibility errors for Hamiltonian flows", Chaos Sol. Fract.,

112, 83-91.

Ch. Skokos 31/07/20 5

R.103) Minati L., Frasca M., Giustolisi G., Oświęcimka P., Drożdż S. & Ricci L.: 2018, "High-dimensional dynamics

in a single-transistor oscillator containing Feynman-Sierpiński resonators: Effect of fractal depth and

irregularity", Chaos, 28, 093112.

R.104) Kawan C.: 2018, "Exponential state estimation, entropy and Lyapunov exponents", Syst. Contol Lett. 113, 78-

85.

R.105) Karabutov N.: 2018, "About Lyapunov Exponents Identification for Systems with Periodic Coefficients", I.J.

Intelligent Systems and Applications, 11, 1-10.

R.106) Djondiné P., Barbot J.-P. & Ghanes M.: 2018, "Stability study and dynamical analysis of the multicellular

chopper", Int. J. Simulation and Process Modelling, 13, 486-495.

R.107) Danca M.-F. & Kuznetsov N.: 2018, "Matlab Code for Lyapunov Exponents of Fractional-Order Systems", Int.

J. Bifurc. Chaos, 28, 1850067.

R.108) Zampetaki A., Pablo Salas J. & Schmelcher P.: 2018, "Energy transfer mechanisms in a dipole chain: From

energy equipartition to the formation of breathers", Phys. Rev. E, 98, 022202.

R.109) Clerc M.G., Coulibaly S., Ferré M.A. & Rojas R.G.: 2018, "Chimera states in a Duffing oscillators chain

coupled to nearest neighbors", Chaos, 28, 083126.

R.110) Adler M.C. & Gaitonde D.V.: 2018, "Dynamic linear response of a shock/turbulent-boundary-layer interaction

using constrained perturbations", J. Fluid Mech., 840, 291-341.



R.112) Kopáček O. & Karas V.: 2018, "Near-horizon Structure of Escape Zones of Electrically Charged Particles

around Weakly Magnetized Rotating Black Hole", Astroph. J., 853, 53.

R.113) Lukes-Gerakopoulos G. & Kopáček O.: 2018, "Recurrence analysis as a tool to study chaotic dynamicsof

extreme mass ratio inspiral in signal with noise", Int. J. Mod. Phys. D, 27, 1850010.

R.114) Osváth S.: 2018, "Is thermodynamic irreversibility a consequence of the expansion of the Universe?", Phys. A,

491, 764-770.



R.116) Tapias D., Bravetti A. & Sanders D.P.: 2017, "Ergodicity of one-dimensional systems coupled to the logistic

thermostat", Comput. Meth. Sci. Techn., 23, 11-18.

R.117) Ani C. J.: 2017, "Chaotic behavior of Hamiltonian systems: Application to plasma physics", Structured M.Sc.

Thesis, African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa.

R.118) Pafundi A.M. & Lavagna M.: 2017, "Stability regions in the N-body problem: the distant retrograde orbits

family case", in "Spaceflight Mechanics 2017", eds. McMahon J.W., Guo Y., Leve F.A. & Sims J.A., Advances

in the Astronautical Sciences, 160, 2513-2529.

R.119) Ngapasare A.: 2017, "Dynamical Behavior of Graphene Models", M.Sc. Thesis, Department of Mathematics

and Applied Mathematics, University of Cape Town.

R.120) Cvitanović P., Artuso R., Mainieri R., Tanner G. & Vattay G.: 2017, "Chapter 4: Local stability" in online book

"Chaos: Classical and Quantum. I: Deterministic Chaos", version 15.9, http://chaosbook.org/.

R.121) Cvitanović P., Artuso R., Mainieri R., Tanner G. & Vattay G.: 2017, "Chapter 6: Lyapunov exponents" in online

book "Chaos: Classical and Quantum. I: Deterministic Chaos", version 15.9, http://chaosbook.org/.

R.122) Feng J., Noomen R., Hou X., Visser P., Yuan J., Tang J. & Liu L.: 2017, "Investigation of 1:1 resonance in a

rotating 4th degree and order gravitational field", in proceedings of the 26th International Symposium on Space

Flight Dynamics ISSFD, June 3-9, 2017, Matsuyama, Japan, ISTS-2017-d-018/ISSFD-2017-018,

http://issfd2017.org/paper/ISTS-2017-d-018__ISSFD-2017-018.pdf .

R.123) Tarnopolski M.: 2017, "Rotation of an oblate satellite - dependence on the true anomaly",

https://arxiv.org/abs/1704.02015v1.

R.124) Feng J., Noomen R., Hou X., Visser P. & Yuan J.: 2017, "1:1 Ground-track resonance in a uniformly rotating

4th degree and order gravitational field", Celest. Mech. Dyn. Astr., 127, 67-93.

R.125) Charbonneau P., Li Y., Pfister H.D. & Yaida S.: 2017, "Cycle-expansion method for the Lyapunov exponent,

susceptibility, and higher moments ", Phys. Rev. E, 96, 032129.

R.126) Nazarimehr F., Jafari S., Golpayegani S.M.R.H. & Sprott J.C.: 2017, "Categorizing chaotic flows from the

viewpoint of fixed points and perpetual points", Int. J. Bifurc. Chaos, 27, 1750023.

R.127) Ralph F., Jacobs K. & Everitt M.J.: 2017, "Observing quantum chaos with noisy measurements and highly

mixed states", Phys. Rev. E, 95, 012135.

R.128) Skoulidou D.:2017, "Symplectic Integration of Equations of Motion and Variational Equations for Extrasolar

Systems of N - Planets", M.Sc. Thesis, Physics Department, Aristotle University of Thessaloniki, Thessaloniki,

Greece.

R.129) Taani A. & Vallejo J.C.: 2017, "Dynamical Monte Carlo Simulations of 3-D Galactic Systems in Axisymmetric

and Triaxial Potentials", PASA, 34, e024.

Ch. Skokos 31/07/20 6

R.130) Panichi F., Goździewski K. & Turchetti G.: 2017, "The reversibility error method (REM): a new, dynamical fast

indicator for planetary dynamics", MNRAS, 468, 469-491.

R.131) Turchetti G., Sinigardi S., Servizi G., Panichi F. & Vaienti S.: 2017, "Errors, correlations and fidelity for noisy

Hamilton flows. Theory and numerical examples", J. Phys. A: Math. Thoer., 50, 064001.


Dynamics. A Finite-time Lyapunov Exponents Approach", 1-24, Springer Series in Synergetics, Springer-

Verlag, Berlin Heidelberg.

R.133) Wernecke H., Sándor B. & Gros C.: 2017, "How to test for partially predictable chaos", Sci. Rep., 7, 1087.

R.134) Antonopoulos C.G. & Baptista M.S.: 2017, "Maintaining extensivity in evolutionary multiplex networks",

PlosOne, 12, e0175389.

R.135) Feng J.: 2016, "Orbital dynamics in the vicinity of contact binary asteroid systems", Ph.D. Thesis, Delft

University of Technology.

R.136) Schwellnus A.: 2016, "Chaotic behaviour of a multi-dimensional Hamiltonian model of DNA", Honours Thesis,


R.137) Kumar V., Gupta B.R. & Aggarwal R: 2016, "Numerical investigation of a star’s trajectory in binary quasar

system", Adv. Stud. Contemp. Math., 26, 385-399.

R.138) Velosa C.M.N.: 2016, "Análise e Controlo Robusto de Modos de Funcionamento Caóticos em Sistemas

Aeroespaciais", Ph.D. Thesis, Faculdade de Engenharia, Universidade da Beira Interior, Portugal (in

Portuguese).

R.139) Lukes-Gerakopoulos G.: 2016, "Comment on “Chaotic orbits for spinning particles in Schwarzschild

spacetime”", Phys. Rev. D, 94, 108501.

R.140) Pradhan P.: 2016, "Stability analysis and quasinormal modes of Reissner–Nordstrøm space-time via Lyapunov

exponent", Pramana-J. Phys., 87, 5.

R.141) Pafundi A.M.: 2016, "High Precision Integration Methods and N-Body Stability Analysis". M.Sc. Thesis,

Department of Aerospace Science and Technology, School of Industrial and Information Engineering,

Politecnico di Milano. Italy.

R.142) Nestler S.: 2016, "Adapting the SALI/GALI Method to Kauffman Networks", B.Sc. Thesis, Complex Systems

Lab, Institute for Theoretical Physics, University of Bremen, Germany.

R.143) Ma D.-Z., Long Z.-C. & Zhu Y.: 2016, "Application of Indicators for Chaos in Chaotic Circuit Systems", Int. J.

Bifurc. Chaos, 26, 1650182.

R.144) Lucarini V., Faranda D., de Freitas A.C.G.M.M., Holland M., Kuna T., Nicol M., Todd M. & Vaienti S: 2016,

"Extremes and recurrence in dynamical systems", Pure and Applied Mathematics: A Wiley Series of Texts,

Monographs, and Tracts, John Wiley & Sons, Inc., Hoboken, New Jersey.

R.145) Liao H.: 2016, "Novel gradient calculation method for the largest Lyapunov exponent of chaotic systems",

Nonlinear Dyn., 85, 1377-1392.

R.146) Gkolias I., Daquin J., Gachet F. & Rosengren A.J.: 2016, "From order to chaos in earth satellite orbits", Astron.

J., 152, 119.

R.147) Chávez-Carlos J., Bastarrachea-Magnani M.A., Lerma-Hernández S. & Hirsch J.G.: 2016, "Classical chaos in

atom-field systems", Phys. Rev. E, 94, 022209.

R.148) Bianco-Martinez E., Rubido N., Antonopoulos C.G. & Baptista M.S.: 2016, "Successful network inference from

time-series data using Mutual Information Rate", Chaos, 26, 043102.

R.149) Antonopoulos C. G., Bountis T. & Drossos L: 2016, "Coupled symplectic maps as models for subdiffusive

processes in disordered Hamiltonian lattices", APNUM, 104, 110-119.

R.150) Ribeiro A.O., Roig F., De Prá M.N., Carvano J.M. & DeSouza S.R.: 2016, "Dynamical study of the Atira group

of asteroids", MNRAS, 458, 4471-4476.

R.151) Machado R.E.G. & Manos T.: 2016, "Chaotic motion and the evolution of morphological components in a time-

dependent model of a barred galaxy within a dark matter halo", MNRAS, 458, 3578-3591.

R.152) Gupta B.R. & Kumar V.: 2016, "Characterization of the Phase Space Structure of Circular Restricted Three-

Body Problem: An Alternative Approach", Int. J. Bifurc. Chaos, 26, 1650029.

R.153) Daquin J., Rosengren A.J., Deleflie F., Alessi E.M., Valsecchi G.B. & Rossi A.: 2016, "The dynamical structure

of the MEO region: long-term stability, chaos, and transport", Celest. Mech. Dyn. Astr., 124, 335-366.

R.154) Sándor Z. & Maffione N.: 2016, "The Relative Lyapunov Indicators: Theory and Application to Dynamical

Astronomy", Lect. Notes Phys., 915, 183-220.

R.155) Barrio R.: 2016, "Theory and Applications of the Orthogonal Fast Lyapunov Indicator (OFLI and OFLI2)

Methods", Lect. Notes Phys., 915, 55-92.

R.156) Parlitz U.: 2016, "Estimating Lyapunov Exponents from Time Series", Lect. Notes Phys., 915, 1-34.

R.157) Carkovs J., Pola A. & Šadurskis K.: 2016, "Reducibility by moments of linear impulse Markov dynamical

systems with almost constant coefficients", Proc. Latvian Acad. Sci., Sect. B, 70, 34-40.

Ch. Skokos 31/07/20 7

R.158) Deleanu D.: 2015, "Comment on the implementation of “0 – 1” test for tinkerbell map", Constanta Maritime

University Annals, 24, 109-116.

R.159) Souhail W., Khammari H., Mimouni M.F. & Jabli N.: 2015, "Field Oriented Control of Permanent Magnet

Synchronous Motor: Chaos synchronization", IEEE Proceedings of the 4th International Conference on Systems

and Control, Sousse, Tunisia, April 28-30, 2015, 224-229.

R.160) Maaita J.O., Volos Ch. K., Kyprianidis I. M. & Stouboulos I. N.: 2015, "The dynamics of a cubic nonlinear

system with no equilibrium point", J. Nonlin. Dyn., 2015, 257923.

R.161) Zhang Y., Shi P., Zhu H., Hu J. & Zeng Y.: 2015, "Generating chaos for a class of linear switching control

systems: A hybrid approach", J. Frank. Inst., 352, 5853-5865.

R.162) Yan D. & Quyang T.: 2015, "New Phenomena in the Spatial Isosceles Three-Body Problem", Int. J. Bifurc.

Chaos, 25, 1550116.

R.163) Trofimov S.P: 2015, "Withdrawal of small space objects from low Earth orbits", Ph.D. Thesis, Keldysh Institute

of Applied Mathematics, Russian Academy of Science (in Russian).

R.164) Panichi F., Ciotti L. & Turchetti G.: 2016, "Fidelity and Reversibility in the Three Body Problem", Commun.

Nonlinear Sci. Numer. Simulat., 35, 53-68.

R.165) Saha L.M. & Kumra N., 2015, "Complexities in age structured predator-prey system", Appl. Math. Sci., 9,

5939-5949.

R.166) Manos T. & Robnik M.: 2015, "Accelerator modes and their effect in the diffusion properties in the kicked

rotator", ASTE, B11, 25-29.

R.167) Maffione N.P., Gómez F.A., Cincotta P.M., Giordano C.M., Cooper A.P. & O'Shea B. W.: 2105, "On the

relevance of chaos for halo stars in the Solar Neighbourhood", MNRAS,453,2830-2847.

R.168) Karabutov N.: 2015, "Structural Methods of Estimation Lyapunov Exponents Linear Dynamic System", I. J.

Intel. Syst. Appl., 10, 1-11.

R.169) Gritli H. & Belghith S.: 2015, "Computation of the Lyapunov exponents in the compass-gait model under OGY

control via a hybrid Poincaré map", Chaos Solit. Fract., 81, 172-183.

R.170) Cao J.: 2015, "Nonlinear Analysis of Horses Trotting with and without Sedation", M.Sc. Thesis, Auburn

University, Alabama, USA.

R.171) Bountis T. & Christodoulidi H.: 2015, "Complex Aspects in Hamiltonian Dynamics and Statistics", Nonlin.

Phenom. Complex Syst., 18, 284-287.

R.172) Accioly A.D.: 2015, "Transferência de Spin em Nanopilares Magnéticos: Caos e Ressonância Estocástica",

Ph.D. Thesis, Univeridade Federal do Rio Grande do Sul Section of Astrophysics, Astronomy and Mechanics,

(in Portuguese).

R.173) Todorović N. & Novaković B.: 2015, "Testing the FLI in the region of the Pallas asteroid family", MNRAS,

451, 1637-1648.

R.174) Rodríguez M., Blesa F. & Barrio R.: 2015, "OpenCL parallel integration of ordinary differential equations:

Applications in computational dynamics", Comput. Phys. Commun., 192, 228-236.

R.175) Pearson S., Küpper A.H.W., Johnson K.V. & Price-Whelan A.M.: 2015, "Tidal stream morphology as an

indicator of dark matter halo geometry: the case of Palomar 5", Astroph. J., 799, 28.

R.176) Náprstek J. : 2015, "Combined analytical and numerical approaches in Dynamic Stability analyses of

engineering systems", J. Sound Vib., 338, 2-41.

R.177) Ma D.-Z., Long Z.-C. & Zhu Y.: 2015, "Effects of manifold correction methods on chaos indicators", Celest.

Mech. Dyn. Astr., 123, 45-61.

R.178) Kopáček O. & Karas V.: 2015, "Regular and chaotic motion in general relativity: The case of an inclined black

hole magnetosphere", J. Phys: Conf. Ser., 600, 012070.

R.179) Karabutov N.N., Lokhin V.M., Manko S.V. & Romanov M.P.: 2015, "Structure identification of dynamic plants

on the basis of the analysis of the Lyapunov characteristic indexes", Proceedings of the X International

Conference “System Identification and Control Problems” SICPRO ‘15, 602-616 (in Russian).

R.180) Ghasemzadeha H., Khass M.T., Arjmandi M.K. & Pooyanda M.: 2015, "Detection of vocal disorders based on

phase space parameters and Lyapunov spectrum", Biomed. Signal Proc. Cont., 22, 135-145.

R.181) Calzada J. A., Obaya R. & Sanz A. M.: 2015, "Continuous separation for monotone skew-product semiflows:

from theoretical to numerical results", Disc. Cont. Dyn. Syst., 20, 915-944.




R.183) Rajaobelina Iarilala E.D.: 2015, "Numerical Investigation of Chaos", Structured M.Sc. Thesis, African Institute

for Mathematical Sciences (AIMS), Muizenberg, South Africa.

R.184) Cooper N.J., Renner S., Murray C.D. & Evans M.W.: 2015, "Saturn’s inner satellites : orbits, masses and the

chaotic motion of Atlas from new Cassini imaging observations", Astron. J., 149, 27.

Ch. Skokos 31/07/20 8

R.185) Chérif F.: 2015, "Some qualitative properties of Lyapunov exponents for almost periodic Hamiltonian systems",

Differ. Equ. Dyn. Syst., 23, 57-67.

R.186) Chaves-Velasquez L.: 2014, "A study of stellar orbits in a logarithmic non axisymmetric rotating potential",

M.Sc. Thesis, Instituto Nacional de Astrofísica, Óptica y Electrónica, Puebla, Mexico.

R.187) Yang H.-K. & Gao B.-Q.: 2014, "Lyapunov characteristic exponents and dynamic elastic instability of steel

liquid storage tanks", Journal of Shanghai Jiaotong University, 48, 1660-1666.

R.188) Maaita J.O., Meletlidou E., Vakakis A.F. & Rothos V.: 2104, "The Dynamics of the Slow Flow of a Singular

Damped Nonlinear System and It Parametric Study", J. Appl. Nonlin. Dyn., 3, 37-49.

R.189) Franchi M. & Ricci L.: 2014, "Statistical properties of the maximum Lyapunov exponent calculated via the

divergence rate method", Phys. Rev. E, 90, 062920.

R.190) Vergel A., Benito R.M., Losada J.C. & Borondo F.: 2014, "Geometrodynamical Analysis to Characterize the

Dynamics and Stability of a Molecular System through the Boundary of the Hill’s Region", Appl. Math., 5,

2630-2642.


Astron. Nachr., 335, 877-885.

R.192) Lalik E.: 2014, "Chaos in oscillatory sorption of hydrogen in palladium", J. Math. Chem., 52, 2183-2196.

R.193) de Oliveira J.A. & Leonel E.D.: 2014, "Scaling properties and universality in a ratchet system", Eur. Phys. J.

Spec. Top., 223, 2969-2978.

R.194) Farantos S.C.: 2014, "Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics", SpringerBriefs in

Electrical and Magnetic Properties of Atoms, Molecules, and Clusters, Springer.

R.195) Corless R.M. & Fillion N.: 2013, "A Graduate Introduction to Numerical Methods From the Viewpoint

Backward Error Analysis", Springer.

R.196) Manos T. & Robnik M.: 2014, "Survey on the role of accelerator modes for the anomalous diffusion: The case

of the standard map", Phys. Rev. E, 89, 022905.

R.197) Richter M., Lange S. Bäcker A. & Ketzmerick R.: 2014, "Visualization and comparison of classical structures

and quantum states of four-dimensional maps", Phys. Rev. E, 89, 022902.

R.198) Vergel A., Benito R.M. & Losada J.C.: 2014, "Geometrical analysis of the LiCN vibrational dynamics: A

stability geometrical indicator", Phys. Rev. E, 89, 022901.

R.199) Manos T. & Machado R.E.G.: 2014, "Chaos and dynamical trends in barred galaxies: bridging the gap

between N-body simulations and time-dependent analytical models", MNRAS, 438, 2201-2217.

R.200) Lukes-Gerakopoulos G.: 2014, "Adjusting chaotic indicators to curved spacetimes", Phys. Rev. D, 89, 043002.

R.201) Kopáček O. & Karas V.: 2014, "Inducing chaos by breaking axial symmetry in a black hole magnetosphere",

Astroph. J, 787, 117.

R.202) Franchi M. & Ricci L.: 2014, "Appropriateness of dynamical systems for the comparison of different embedding

methods via calculation of the maximum Lyapunov exponent", J. Phys.: Conf. Ser., 490, 012094.

R.203) Faranda D., Leoncini X. & Vaienti S.: 2014, "Mixing properties in the advection of passive tracers via

recurrences and extreme value theory", Phys. Rev. E, 89, 052901.

R.204) Antonopoulos C., Bianco-Martinez E. & Baptista M. S.:2014, "Production and transfer of energy and

information in Hamiltonian systems", PLOS ONE, 9, e89585.

R.205) Mai E. & Geyer R.: 2014, "Numerical orbit integration based on Lie series with use of parallel computing

techniques", Adv. Space Res., 53, 77-89.

R.206) Kuwana C.M., de Oliveira J.A. & Leonel E.D.: 2014, "A family of dissipative two-dimensional mappings:

Chaotic, regular and steady state dynamics investigation", Physica A, 395, 458-465.

R.207) Wainrib G. & del Molino L.C.G.: 2013, "Optimal system size for complex dynamics in random neural networks

near criticality", Chaos, 23, 043134.

R.208) Leung S.: 2013, "The backward phase flow method for the Eulerian finite time Lyapunov exponent

computations", Chaos, 23, 043132.

R.209) Vallejo J.C. & Sanjuán M.A.F.: 2013, "Predictability of orbits in coupled systems through finite-time Lyapunov

exponents", New J. Phys., 15, 113064.

R.210) Leonov, G.A. and Kuznetsov, N.V.: 2014, "Lyapunov Exponent Sign Reversal: Stability and Instability by the

First Approximation", Nonlin. Syst. Compl., 8, 41-77.

R.211) Vasiliev E.: 2013, "A new code for orbit analysis and Schwarzschild modelling of triaxial stellar systems",

MNRAS, 434, 3174-3195.

R.212) Kishor R. & Kushvah B.S.: 2013, "Lyapunov characteristic exponents in the generalized photo-gravitational

Chermnykh-like problem with power-law profile", Planet. Space Sci., 84, 93-101.

R.213) Manika D.: 2013, "Application of the Compound Matrix Theory for the computation of Lyapunov Exponents of

autonomous Hamiltonian systems", M.Sc. Thesis, Physics Department, Aristotle University of Thessaloniki,

Thessaloniki, Greece.

Ch. Skokos 31/07/20 9

R.214) Gkolias I.: 2013, "Chaos in 1-dimensional nonlinear disordered lattices", M.Sc. Thesis, Physics Department,

Aristotle University of Thessaloniki, Thessaloniki, Greece.



R.216) Zachilas L., Katsanikas M. & Patsis P.A.: 2013, "The structure of phase space close to fixed points in a 4D

symplectic map", Int. J. Bifurc. Chaos, 23, 1330023.

R.217) Sabarathinam S., Thamilmaran K., Borkowski L., Perlikowski P., Brzeski P., Stefanski A. & Kapitaniak T.:

2013, "Transient chaos in two coupled, dissipatively perturbed Hamiltonian Duffing oscillators", Commun.

Nonlin. Sci. Num. Simul., 18, 3098-3107.

R.218) Bosetti H. & Posch H.A.: 2013, "Orthogonal versus covariant Lyapunov vectors for rough hard disk systems",

J. Phys. A, 46, 254011.

R.219) Abrego F.J. & Moiola J.L.: 2013, "Lyapunov Exponent Analysis Applied to a Hyperchaotic Prey-predator

Model", IEEE Latin Amer. Trans., 11, 230-235 (in Spanish).

R.220) Maffione N.P., Darriba L.A., Cincotta P.M. & Giordano C.M.: 2013, "Chaos detection tools: application to a

self–consistent triaxial model", MNRAS, 429, 2700-2717.

R.221) Kumari R. & Kushvah B.S.: 2013, "Equilibrium points and zero velocity surfaces in the restricted four body

problem with Solar wind drag", Astrophys. Space Sci., 344, 347-359.

R.222) Katsanikas M., Patsis P. A. & Contopoulos G: 2013, "Instabilities and stickiness in a 3D rotating galactic

potential", Int. J. Bifurc. Chaos, 23, 1330005.

R.223) Dvorak R. & Lhotka C.: 2013, "Celestial Dynamics. Chaoticity and Dynamics of Celestial Systems" Wiley-

VCH.

R.224) Faranda D., Lucarini V., Turchetti G. & Vaienti S.: 2012, "Generalized extreme value distribution parameters

as dynamical indicators of stability", Int. J. Bifurc. Chaos, 22, 1250276.

R.225) Faranda D., Mestre M.F. & Turchetti G.: 2012, "Analysis of round off errors with reversibility test as a

dynamical indicator", Int. J. Bifurc. Chaos, 22, 1250215.

R.226) Darriba L.A., Maffione N.P., Cincotta P.M. & Giordano C.M.: 2012, "Comparative study of variational chaos

indicators and ODEs’ numerical integrators", Int. J. Bifurc. Chaos, 22, 1230033.




R.228) Bountis T., Manos T. & Antonopoulos Ch.: 2012, "Complex statistics in Hamiltonian barred galaxy models",

Cel. Mech. Dyn. Astron., 113, 63-80.

R.229) Gerlach E. & Haghighipour N.: 2012, "Can GJ 876 host four planets in resonance?", Cel. Mech. Dyn. Astron.

113, 35-47.

R.230) Bashkirtseva I., Chen G. & Ryashko L.: 2012, "Analysis of noise-induced transitions from regular to chaotic

oscillations in the Chen system", Chaos, 22, 033104.

R.231) Zachilas L. & Psarianos I.N.: 2012, "Examining the chaotic behavior in dynamical systems by means of the 0-1

test", J. Appl. Math., 681296.

R.232) Waldner F. & Klages R.: 2012, "Symmetric Jacobian for local Lyapunov exponents and Lyapunov stability

analysis revisited", Chaos Solitons & Fractals, 45, 325-340.

R.233) Knežević Z., Morbidelli A., Burns J. A., Athanassoula E., Laskar J., Malhotra R., Mikkola S., Peale S.J. & Roig

F.: 2012, "Commission 7: Celestial Mechanics and Dynamical Astronomy", Transactions IAU, Reports on

Astronomy 2009–2012, International Astronomical Union, 7, 15-20.

R.234) Krishnamurthy K.: 2012, "A method for estimating the Lyapunov exponents of chaotic time series corrupted by

random noise using extended Kalman filter", in "Mathematical modelling and scientific computation, ICMMSC

2012", eds. Balasubramaniam P. & Uthayakumar R., Communications in Computer and Information Science,

Springer-Verlag, 283, 237-244.

R.235) Vasiliev E. & Athanassoula E.: 2012, "Chaotic mixing and the secular evolution of triaxial cuspy galaxy models

built with Schwarzschild’s method", MNRAS, 419, 3268-3279.

R.236) de Oliveira J.A. & Leonel E.D.: 2012, "Dissipation and its consequences in the scaling exponents for a family

of two-dimensional mappings", J. Phys. A, 45, 165101.

R.237) de Anda M.Á.G.: 2012, "On the calculation of Lyapunov characteristic exponents for continuous-time LTV

dynamical systems using dynamic eigenvalues", Int. J. Bifurc. Chaos, 22, 1250019.

R.238) Berthé V.: 2012, "Numeration and discrete dynamical systems", Computing, 94, 369-387.

R.239) Shefer V.A.: 2011, "Determination of orbit chaoticity indicators with analytically normalized tangent vector",

Izvestiya Vuzov. Fizika, 54, 13-21 (in Russian).

R.240) Balestrino A., Caiti A. & Crisostomi E.: 2011, "A generalised entropy of curves approach for the analysis of

dynamical systems", in "Nonlinear Science and Complexity", eds. Tenreiro Machado J.A., Luo A.C.J., Barbosa

R.S., Silva M.F. & Figueiredo L.B., Springer, 381-388.

Ch. Skokos 31/07/20 10

R.241) Náprstek J. & Fischer C.: 2011, "Auto-parametric stability loss and post-critical behaviour of a three degrees of

freedom system", in "Computational Methods in Stochastic Dynamics", eds. Papadrakakis M., Stefanou G. &

Papadopoulos V., Computational Methods in Applied Sciences, Springer-Verlag, 22, 267-289.

R.242) Manos T. & Ruffo S.: 2011, "Scaling with system size of the Lyapunov exponents for the Hamiltonian Mean

Field model", Transp. Theory Stat, Phys., 40, 360-381.

R.243) Maffione N.P., Darriba L.A., Cincotta P.M. & Giordano C.M.: 2011, "A comparison of different indicators of

chaos based on the deviation vectors: application to symplectic mappings", Cel. Mech. Dyn. Astron., 111, 285-

307.

R.244) Kopáček O.: 2011, "Transition from regular to chaotic motion in black hole magnetospheres", Ph.D. Thesis,

Faculty of Mathematics and Physics, Charles University in Prague (astro-ph.HE/1110.4553).

R.245) Frouard J., Vienne A. & Fouchard M.: 2011, "The long-term dynamics of the Jovian irregular satellites",

Astron. Astroph., 532, A44.

R.246) Barrio R. & Shilnikov A.: 2011, "Parameter-sweeping techniques for temporal dynamics of neuronal systems:

case study of Hindmarsh-Rose model", J. Math. Neuroscience, 1:6.

R.247) Katsanikas M., Patsis P. A. & Pinotsis A. D.: 2011, "Chains of rotational tori and filamentary structures close

to highmultiplicity periodic orbits in a 3D galactic potential", Int. J. Bifurc. Chaos, 21, 2331-2342.

R.248) Katsanikas M., Patsis P. A. & Contopoulos G: 2011, "The structure and evolution of confined tori near a

Hamiltonian Hopf Bifurcation", Int. J. Bifurc. Chaos, 21, 2321-2330.

R.249) Antonopoulos C.G. & Christodoulidi H.: 2011, "Weak chaos detection in the Fermi-Pasta-Ulam-α system using

q-Gaussian statistics", Int. J. Bifurc. Chaos, 21, 2285-2296.

R.250) Bountis T., Chechin G. & Sakhnenko V.: 2011, "Discrete symmetry and stability in Hamiltonian dynamics", Int.

J. Bifurc. Chaos, 21, 1539-1582.

R.251) Antonopoulos Ch., Bountis T. C. & Basios V.: 2011, "Quasi-stationary chaotic states in multi-dimensional

Hamiltonian systems", Physica A, 390, 3290-3307.

R.252) Akaishi A., Hirata M., Yamamoto K. & Shudo A.: 2011, "Meeting time distributions in Bernoulli systems", J.

Phys. A, 44, 375101.

R.253) Stachowiak T. & Szydlowsk M.: 2011, "A differential algorithm for the Lyapunov spectrum", Physica D, 240,

1221-1227.

R.254) Manos T. & Athanassoula E.: 2011, "Regular and chaotic orbits in barred galaxies - I. Applying the SALI/GALI

method to explore their distribution inseveral models", MNRAS, 415, 629-642.

R.255) Kushvah B. S.: 2011: "Trajectories of L4 and Lyapunov Characteristic Exponents in the Generalized

Photogravitational Chermnykh-Like problem", Astrophys. Space Sci., 333, 49-59.

R.256) Katsanikas M. & Patsis P. A.: 2011, "The structure of invariant tori in a 3D galactic potential", Int. J. Bifurc.

Chaos, 21, 467-496.

R.257) Maffione N.P., Giordano C.M. & Cincotta P.M.: 2011, "Testing a fast dynamical indicator: The MEGNO", Int.

J, Non-Linear Mech., 46, 23-34.

R.258) Kopáček O., Kovář J., Karas V. & Stuchlík Z.: 2010, "Recurrence plots and chaotic motion around Kerr black

hole", in "Mathematics and Astronomy: A Joint Long Journey: Proceedings of the International Conference",

eds. de León M., de Diego D. M. & Ros R. M., AIP Conference Proceedings, 1283, 278-287.

R.259) Kopáček O, Karas V., Kovář J. & Stuchlík Z.: 2010, "Transition from regular to chaotic circulation in

magnetized coronae near compact objects", Astroph. J., 722, 1240-1259.

R.260) Ananikian N., Ananikyan L., Artuso R. & Lazaryan H.: 2010, "Magnetization and Lyapunov exponents on a

kagome chain with multi-site exchange interaction", Phys. Let. A, 374, 4084-4089.

R.261) Barrio R., Blesa F. & Serrano S.: 2010, "Bifurcations and chaos in Hamiltonian systems", Int. J. Bifurc. Chaos,

20(5), 1293-1319.

R.262) Hinse T.C., Christou A.A., Alvarellos J.L.A. & Goździewski K.: 2010, "Application of the MEGNO technique

to the dynamics of Jovian irregular satellites", MNRAS, 404, 837-857.

R.263) Li C., Gong Z. Qian D. & Chen YQ.: 2010, "On the bound of the Lyapunov exponents for the fractional

differential systems", Chaos, 20, 013127.

R.264) Balestrino A., Caiti A. & Crisostomi E.: 2009, "Generalised entropy of curves for the analysis and classification

of dynamical systems", Entropy, 11, 249-270.

R.265) Kuptsov P.V. & Kuznetsov S. P.: 2009, "Violation of hyperbolicity in a diffusive medium with local hyperbolic

attractor", Phys. Rev. E, 80, 016205.

R.266) Cardoso V., Miranda A. S., Berti E., Witek H. & Zanchin V. T.: 2009, "Geodesic stability, Lyapunov exponents

and quasinormal modes", Phys. Rev. D, 79, 064016.

To paper BC.2: Skokos Ch. & Manos T.: 2016, "The Smaller (SALI) and the Generalized (GALI) alignment

indices: Efficient methods of chaos detection", Lect. Notes Phys., 915, 129-181.

Ch. Skokos 31/07/20 11



R.268) Montoya F.G. & Wiggins S.: 2020, "Revealing roaming on the double Morse potential energy surface with

Lagrangian descriptors", J. Phys. A: Math. Theor., 53, 235702.



R.270) He S., Sun K. & Peng Y.: 2019, "Detecting chaos in fractional-order nonlinear systems using the smaller

alignment index", Phys. Lett. A, 383, 2267-2271.



R.272) Vozikis C., Kleidis K. & Papaioannou S.: 2018, "The power spectrum indicator: A new, efficient method for the

early detection of chaos", nlin.CD/1808.00223.

R.273) Zeinoddini M., Bakhtiari A. & Gharebaghi S.A.: 2018, "Towards an understanding of the marine fouling effects

on VIV of circular cylinders: a probe into the chaotic features", Nonlin. Dyn., 94, 575-595.

R.274) Djondiné P., Barbot J.-P. & Ghanes M.: 2018, "Stability study and dynamical analysis of the multicellular

chopper", Int. J. Simulation and Process Modelling, 13, 486-495.

R.275) Zotos E.E.& Jung C.: 2018, "Correlating the escape dynamics and the role of the normally hyperbolic invariant

manifolds in a binary system of dwarf spheroidal galaxies", Int. J. Non-Lin. Mech., 99, 182-203.








To paper P.1: Giorgilli A. & Skokos Ch.: "On the stability of the Trojan asteroids", 1997, Astron. Astroph., 317,

254-261.

R.279) Gross C., Strumia A., Teresi D. & Zirilli M.: 2020, "Is negative kinetic energy meta-stable?", hep-

th/2007.05541.

R.280) Yu X: 2019, "On Stability of Lagrange Relative Equilibrium Solution in The Planar Three-body Problem",

math.DS/1911.12269.

R.281) Caracciolo C. & Locatelli U.: 2020, "Computer-assisted estimates for Birkhoff normal forms", J. Comput. Dyn.,

7, 425-460.

R.282) Guzzo M., Efthymiopoulos C.& Páez R.I.: 2020, "Semi-analytic computations of the speed of Arnold diffusion

along single resonances in a priori stable Hamiltonian systems", J. Nonlin. Sci., 30, 851-901.

R.283) Barrabés E. & Ollé M.: 2019, "Dinàmica de varietats espacials: les autopistes de l’univers", Butlletí de la

Societat Catalana de Matemàtiques, 34, 97-123 (in Spanish).

R.284) Páez R.I. & Efthymiopoulos C.: 2018, "Secondary resonances and the boundary of effective stability of Trojan

motions", Celest. Mech. Dyn. Astr., 130, 20.

R.285) Páez R.I.: 2017, "New normal form approaches adapted to the Trojan problem",Ph.D Thesis, Università degli

studi di Roma “Tor Vergata”, https://arxiv.org/abs/1703.08819.

R.286) Kishor R. & Kushvah B.S.: 2017, "Normalization of Hamiltonian and nonlinear stability of the triangular

equilibrium points in non-resonance case with perturbations", Astropys Space Sci, 362, 156.

R.287) Massarweh L.: 2016, "Linear stability and bifurcations of periodic Lagrange orbits in the Elliptic Restricted 3-

Body Problem. An investigation at L1/L2 in the Earth-Moon system", M.Sc. Thesis, Delft University of

Technology.

R.288) Páez R.I. & Locatelli U.: 2015, "Trojan dynamics well approximated by a new Hamiltonian normal form",

MNRAS, 453, 2177-2188.


451, 1637-1648.

R.290) Páez R.I. & Efthymiopoulos C.: 2015, "Trojan resonant dynamics, stability, and chaotic diffusion for

parameters relevant to exoplanetary systems", Celest. Mech. Dyn. Astr., 121, 139-170.

R.291) Guzzo M.: 2015, "The Nekhoroshev theorem and long–term stabilities in the Solar system", Serb. Astron. J.,

190, 1-10.

R.292) Schirinzi G.: 2014, "Investigation of new conditions for steepness from a former result by Nekhoroshev", Ph.D.

thesis, Dipartimento di Matematica, Università degli studu di Padova.

R.293) Hou X., Scheeres D.J. & Liu L.: 2014, "Dynamics of the Jupiter Trojans with Saturn’s perturbation in the

present configuration of the two planets", Cel. Mech. Dyn. Astron., 119, 119-142.

Ch. Skokos 31/07/20 12

R.294) Páez R.I.: 2014, "Exploring the marginal stability region of the tadpole orbits for the planar circular restricted

three{body problem: an approach based on normal forms", Report within the European Marie Curie

International Training Network AstroNet-II programme, University of Roma 'Tor Vergata'.

R.295) Efthymiopoulos C.: 2013, "High order normal form stability estimates for co-orbital motion", Cel. Mech. Dyn.

Astron., 117, 101-112.

R.296) Lhotka C. & Celletti A.: 2013, "Stability of nearly–integrable systems with dissipation ", Int. J. Bifurc. Chaos,

23, 1330036.

R.297) Efthymiopoulos C. & Harsoula M.: 2013, "The speed of Arnold diffusion", Physica D, 251, 19-38.

R.298) Celletti A. & Lhotka C.: 2012, "Stability estimates of nearly–integrable systems with dissipation and non–

resonant frequency", https://arxiv.org/abs/1202.2305.

R.299) Celletti A.: 2012, "Some stability results on nearly–integrable systems (with dissipation)", Note Mat., 32, 47-62.

R.300) Celletti A.: 2012, "Perturbation theory in Celestial Mechanics", Mathematics of Complexity and Dynamical

Systems, ed. in chief Meyers R.. A., Springer, 1301-1313.

R.301) Todorović N., Guzzo M., Lega E. & Froeschlé C.: 2011, "A numerical study of the stabilization effect of

steepness", Cel. Mech. Dyn. Astron., 110, 389-398.

R.302) Todorović N.: 2011, "The role of a steepness parameter in the exponential stability of a model problem.

Numerical aspects", Serb. Astron. J., 182, 25-33.

R.303) Sansottera M.: 2010, "Effective stability of Hamiltonian planetary systems", Ph.D. Thesis, Facoltà di Scienze

Matematiche Fisiche e Naturali, Università Statale degli Studi di Milano.

R.304) Celletti A.: 2010, "Stability and Chaos in Celestial Mechanics", Springer-Verlag.

R.305) Celletti A.: 2010, "Regular and Chaotic Dynamics of Periodic and Quasi-Periodic Motions", in "Space

Manifold Dynamics: Novel spaceways for science and exploration", eds. Perozzi E. & Ferraz-Mello S., Springer

Science, 113-132.

R.306) Robutel P. & Souchay J.: 2010, "An introduction to the dynamics of Trojan asteroids ", Lect. Notes Phys., 790,

195-227.

R.307) Hou X. & Liu L.: 2009, "Station-keeping of spacecrafts around the equilateral equilibrium points in the sun-

earth+moon system", J. Astronautics, 30, 145-149 (in Chinese).

R.308) Érdi B., Forgács-Dajka E., Nagy I. & Rajnai R.: 2009, "A parametric study of stability and resonances around

L4 in the elliptic restricted three-body problem", Cel. Mech. Dyn. Astron., 104, 145-158.

R.309) Celletti A.: 2009, "Perturbation theory in Celestial Mechanics", Encyclopedia of Complexity and System

Science, ed. in chief Meyers R.. A., Springer, 6673-6686.

R.310) Robutel P. & Bodossian J.: 2009, "The resonant structure of Jupiter’s Trojans asteroids-II. What happens for

different configurations of the planetary system", MNRAS, 399, 69-87.

R.311) Lhotka Ch.: 2008, "Nekhoroshev Stability in the Elliptic Restricted Three Body Problem. The 1:1 Resonance in

the Sun-Jupiter System", Ph.D. Thesis, Fakultät für Geowissenschaften, Geographie und Astronomie, Universität

Wien (http://othes.univie.ac.at/3528/).

R.312) Dotto E., Emery J. P., Barucci M. A., Morbidelli A. & Cruikshank D. P.: 2008, "De Troianis: The Trojans in the

Planetary System", in "The Solar System Beyond Neptune", eds. Barucci M. A., Boehnhardt H. Cruikshank D.

P. & Morbidelli A., The University of Arizona Press, 383-395.

R.313) Efthymiopoulos C., Voglis N. & Kalapotharakos C.: 2008, "Special features of galactic dynamics", Lect. Notes

Phys.729, 297-389.

R.314) Guzzo M.: 2008, "An overview on the Nekhoroshev theorem", Lect. Notes Phys.729, 1-28.

R.315) Lhotka Ch., Efthymiopoulos C. & Dvorak R. : 2008, "Nekhoroshev stability at L4 or L5 in the elliptic-restricted

three-body problem - application to Trojan asteroids", MNRAS, 384, 1165-1177.

R.316) Érdi B.: 2007: "Dynamical investigations of exoplanetary systems", in "Proceedings of the Gothard's 150th

Anniversary Conference", eds. Jankovics I. & Kovács J.

(http://astro.elte.hu/~erdi/publications/2007Gothard.pdf).

R.317) Ito T. & Tanikawa K.: 2007, "Trends in 20th Century Celestial Mechanics", Publ. Natl. Astron. Obs. Japan, 9,

55-112.

R.318) Schwarz R., Dvorak R., Süli Á. & Érdi B.: 2007, "Survey of the stability region of hypothetical habitable Trojan

planets", Astron. Astroph., 474, 1023–1029.

R.319) Érdi B., Nagy I., Sándor Zs., Süli Á. & Fröhlich G.: 2007, "Secondary resonances of co-orbital motions",

MNRAS, 381, 33-40.

R.320) Dvorak R., Schwarz R. , Süli Á & Kotoulas T.: 2007, "On the stability of the Neptune Trojans", MNRAS, 382,

1324–1330.

R.321) Beaugé C., Sándor Zs., Érdi B. & Süli Á.: 2007, "Co-orbital terrestrial planets in exoplanetary systems: a

formation scenario", Astron. Astroph., 463, 359-367.

R.322) Robutel P & Gabern F.: 2006, "The resonant structure of Jupiter’s Trojan asteroids I: Long term stability and

diffusion", MNRAS, 372, 1463-1482.

Ch. Skokos 31/07/20 13

R.323) Efthymiopoulos Ch.: 2006, "Introduction to Nekhoroshev stability theory", in "Order and Chaos", Vol. 9,

Proceedings of the 18th

Summer School – Panhellenic Conference ‘Non linear Science and Complexity’, eds.

Bountis T. & Vlahos N., University of Thessaly Publications, 61-76 (in Greek).

R.324) Freistetter F. : 2006, "The size of the stability regions of Jupiter Trojans", Astron. Astroph., 453, 353-361.

R.325) Guzzo M., Lega E. & Froeschlé C. : 2006, "Diffusion and stability in perturbed non-convex integrable systems",

Nonlinearity, 19, 1049-1067.

R.326) Emery J. P., Cruikshank D. P. & Van Cleve J. : 2006, "Thermal emission spectroscopy (5.2–38 µm) of three

Trojan asteroids with the Spitzer Space Telescope: Detection of fine-grained silicates", Icarus, 182, 496-512.

R.327) Gabern F., Koon W. S., Marsden J. E. & Scheeres D. J. : 2006, "Binary asteroid observation orbits from a

global dynamical perspective", SIAM Journal on Applied Dynamical Systems, 5(2), 252-279.

R.328) Liu Ch. : 2005, "Monte Carlo simulations on the stability of the Sun – Jupiter – Trojan asteroids system" in

Proceedings of the second workshop/conference of numerical simulations, Nanjing Univ., 2005.01.10, 22-26, (in

Chinese).

R.329) Efthymiopoulos Ch. & Sándor Z. : 2005, "Optimized Nekhoroshev stability estimates for the Trojan asteroids

with a symplectic mapping model of co-orbital motion", MNRAS, 364, 253-271.

R.330) Tsiganis K., Varvoglis H & Dvorak R.: 2005, "Chaotic diffusion and effective stability of Jupiter Trojans", Cel.

Mech. Dyn. Astron., 92, 71-87.

R.331) Robutel P., Gabern F. & Jorba À.: 2005, "The observed Trojans and the global dynamics around the

Lagrangian points of the Sun-Jupiter system", Cel. Mech. Dyn. Astron., 92, 53-69.

R.332) Efthymiopoulos Ch.: 2005, "Formal integrals and Nekhoroshev stability in a mapping model for the Trojan

asteroids", Cel. Mech. Dyn. Astron., 92, 29-52.

R.333) Papadakis K. E.: 2005, "Numerical exploration of Chermnykh’s problem", Astroph. Space Sci., 299, 67-81.

R.334) Gabern F. & Jorba À. : 2005, "Effective computation of the dynamics around a two-dimensional torus of a

Hamiltonian system", J. Nonlinear Science, 15, 159-182.

R.335) Efthymiopoulos Ch.: 2005, "Nekhoroshev stability estimates for different models of the Trojan asteroids", in

"Dynamics of populations of planetary systems", Proc. IAU Col. No. 197, eds. Knežević Z. & Milani A.,

Cambridge Univ. Press, 195-204.

R.336) Gabern F., Jorba À. Locatelli U.: 2005, "On the construction of the Kolmogorov normal form for the Trojan

asteroids", Nonlinearity, 18, 1705-1734.

R.337) Benettin G. : 2005, "Physical applications of Nekhoroshev theorem and exponential estimates", in "Hamiltonian

dynamics. Theory and applications" by Benettin G., Henrard J. & Kuskin S., ed. Giorgilli A., Lecture Notes in

Mathematics Vol. 1861, Springer-Verlag, Berlin, Heidelberg, 1-76.

R.338) Benettin G. : 2005, "The elements of Hamiltonian perturbation theory", in "Hamiltonian systems and Fourier

analysis. New prospects for gravitational dynamics", eds. Benest D., Froeschlé C & Lega E., Advances in

Astronomy and Astrophysics, Cambridge Scientific Publishers, 1-98.

R.339) Arnold V. I.: 2004, "Arnold’s problems", Springer-Verlag.

R.340) Contopoulos G. : 2004, "Adventures in Order and Chaos. A Scientific Autobiography", Kluwer Academic

Publishers.

R.341) Gabern F. & Jorba À. : 2004, "Generalizing the restricted three-body problem. The bianular and tricircular

coherent problems", Astron. Astroph., 420, 751-762.

R.342) Carruba V. : 2004, "Dynamics of asteroid families and irregular satellites of Jovian planets", Ph. D Thesis,

Cornell University.

R.343) Gabern F. & Jorba À. : 2003, "Some models for the Trojan motion", in "Proceedings of the “V Jornadas de

Mecánica Celeste” ", Monografías de la Real Academia de Ciencias de Zaragoza, 22, 11-20,

(http://www.maia.ub.es/dsg/2002/0201gabern.zip).

R.344) Gabern F. & Jorba À. : 2003, "Restricted four and five body problems in the Solar system", in "Proceedings of

the Conference Libration Point Orbits and Applications", eds. Gómez G., Lo M. W. & Masdemont J. J., World

Scientific, 573-586.

R.345) Sándor Z. & Érdi B.: 2003, "Symplectic mapping for Trojan-type motion in the elliptic restricted three-body

problem", Cel. Mech. Dyn. Astr., 86, 301-319.

R.346) Gabern F. : 2003, "On the dynamics of the Trojan asteroids", Ph.D. Thesis, Departament de Matemàtica

Aplicada i Anàlisi, Universitat de Barcelona (http://www.maia.ub.es/~gabern/tesi/0301gabern.pdf).

R.347) Ito H.: 2002, in Research Institute for Mathematical Sciences (RIMS) Kôkyûroku No 1282: 'Theory and

application of nearly integrable Hamiltonian systems', ed. T. Konishi, Kyoto University, 31-54,

http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1282-4.pdf, (in Japanese).

R.348) IAU Commission 7 : Celestial Mechanics and Dynamical Astronomy (Mecanique Celeste et Astronomie

Dynamique) : 2002, Reports on Astronomy, Vol. XXVA, ed. Rickman H., 15-29.

R.349) Arakida H. & Fukushima T.: 2002, "Motion around triangular Lagrange points perturbed by other bodies", in

"Dynamical friction strikes back. Proceedings of the 34th Symposium on Celestial Mechanics", March 11-13,

Ch. Skokos 31/07/20 14

2002 at Hakone-Onsen, Kanagawa, Japan, eds. Kokubo E., Ito T., Arakida. Mitaka H., Tokyo, Japan: National

Astronomical Observatory, 265-288

R.350) Marzari F., Scholl H., Murray C. & Lagerkvist C. : 2002, "Origin and evolution of Trojan asteroids", in

"Asteroids III" eds. Bottke W. F., Cellino A., Paolicchi P & Binzel R. P., Space Science Series, The University

of Arizona Press, 725-738 (http://www.uapress.arizona.edu/books/BID1468.htm).

R.351) Contopoulos G. : 2002, "Order and Chaos in Dynamical Astronomy", Springer – Verlag, Berlin, Heidelberg.

R.352) Marzari F. & Scholl H. :2002, "On the instability of Jupiter’s Trojans", Icarus, 159, 328-338.

R.353) Carruba V., Burns J. A., Nicholson P. D. & Gladman B. J. : 2002, "On the inclination distribution of the Jovian

irregular satellites", Icarus, 158, 434-449.

R.354) Tsiganis K. : 2002, "Diffusion of chaotic orbits in Hamiltonian systems: Applications to Celestial Mechanics",

Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Thessaloniki

(in Greek).

R.355) Malige F.: 2001, "Stabilité effective des systèmes planétaires. Application au problème séculaire de Jupiter et

Saturne", Ph.D. Thesis, Observatoire de Paris (http://www.imcce.fr/commons/files/pdf/malige_thes.pdf).

R.356) Dvorak R. & Pilat-Lohinger E. : 2001, "On the Trojan problem" in "The restless universe", eds. Steves B. A. &

Maciejewski A. J., Institute of Physics Publishing, 21-41.

R.357) Beaugé C. & Roig F. : 2001, "A semianalytical model for the motion of the Trojan asteroids: proper elements

and families", Icarus, 153, 391-415.

R.358) Michtchenko T. A., Beaugé C. & Roig F. : 2001, "Planetary migration and the effects of mean motion

resonaces on Jupiter’s Trojan asteroids", Astron. J., 122, 3485-3491.

R.359) Sándor Z. : 2001, "A mapping model for the coorbital dynamics in the restricted three-body problem" in

"Proceedings of the 2nd Austrian Hungarian workshop on Trojans and related topics", eds. Freistetter F.,

Dvorak R. & Érdi B., Eötvös University Press, Budapest, 115-124.

R.360) Érdi B. & Sándor Z. : 2001, "On the structure of the phase space around the Lagrangian point L4 in the

restricted problem of three bodies", in "Proceedings of the 2nd Austrian Hungarian workshop on Trojans and

related topics", eds. Freistetter F., Dvorak R. & Érdi B., Eötvös University Press, Budapest, 3-10.

R.361) Bloam A. D. : 2001, "A geometric setting for Hamiltonian perturbation theory", Memoirs American Math. Soc.,

153 (727), 1-122.

R.362) Contopoulos G. : 2001, "The development of Nonlinear Dynamics in Astronomy", Found. of Phys., 31 (1), 89-

114.

R.363) Gabern F. & Jorba À. : 2001, "A restricted four-body model for the dynamics near the Lagrangian points of the

Sun-Jupiter system", Discr. Cont. Dyn. Syst. - Ser. B, Vol. 1, N. 2, 143-182.

R.364) Sándor Z., Érdi B. & Efthymiopoulos C. : 2000, "The phase space structure around L4 in the restricted three-

body problem", Cel. Mech. Dyn. Astron., 78, 113-123.

R.365) Jorba À. : 2000, "A numerical study on the existence of stable motions near the triangular points of the real

Earth-Moon system. A dynamical system approach to the existence of Trojan motions", Astron. Astroph., 364,

327-338.

R.366) Marmi S. : 2000, "Chaotic behaviour in the solar system [following J. Laskar]", Asterisque, 266, 113-137.

R.367) Tsiganis K., Dvorak R. & Pilat-Lohinger E. : 2000, "Thersites: a ‘jumping’ Trojan?", Astron. Astroph., 354,

1091-1100.

R.368) IAU Commission 15 : Physical studies of comets, minor planets, and meteorites (L’ etude physique des comets,

des petites planetes et des meteorites) : 1999, Reports on Astronomy, Vol. XXIVA, ed. Anderson J., 1-21.

R.369) Dvorak R. : 1998, "The dynamical evolution of the Atens", Cel. Mech. Dyn. Astron., 69, 103-118.

R.370) Dvorak R. : 1998, "On the dynamics of bodies in our Planetary System", in "Reviews in Modern Astronomy 11.

Stars and Galaxies", ed. Scielicke R. E., Astronomische Gesellschaft, Hamburg, 29-56.

R.371) Jorba À. & Villanueva J. : 1998, "Numerical computation of normal forms around some periodic orbits of the

restricted three-body problem", Physica D, 114, 197-229.

R.372) Gemmi M. & Todesco E. : 1997, "Stability and geometry of third-order resonances in four-dimensional

symplectic mappings", Cel. Mech. Dyn. Astron., 67, 181-204.

R.373) Morbidelli A. & Guzzo M. : 1997, "The Nekhoroshev theorem and the asteroid belt dynamical system", Cel.


To paper P.2: Skokos Ch., Contopoulos G. & Polymilis C.: "Structures in the phase space of a four dimensional

symplectic map", 1997, Cel. Mech. Dyn. Astron., 65, 223-251.



R.375) Lukes-Gerakopoulos G., Katsanikas M., Patsis P.A. & Seyrich J.: 2016, "Dynamics of a spinning particle in a

linear in spin Hamiltonian approximation", Phys. Rev. E, 94, 024024.

Ch. Skokos 31/07/20 15

R.376) Cincotta P.M. & Giordano C.M.: 2016, "Theory and Applications of the Mean Exponential Growth Factor of

Nearby Orbits (MEGNO) Method", Lect. Notes Phys., 915, 93-128.






R.379) Cincotta P.M., Efthymiopoulos C., Giordano C.M. & Mestre M.F.: 2014, "Chirikov and Nekhoroshev diffusion

estimates: bridging the two sides of the river", Physica D, 266, 49-64.

R.380) Efthymiopoulos C. & Harsoula M.: 2013, "The speed of Arnold diffusion", Physica D, 251, 19-38.

R.381) Zotos E.E.: 2012, "Application of new dynamical spectra of orbits in Hamiltonian systems", Nonlinear Dyn., 69,

2041-2063.






307.


Chaos, 21, 467-496.

R.385) Parsopoulos K.E. & Vrahatis M.N.: 2010, "Chapter 7: Applications in Dynamical Systems" in "Particle Swarm

Optimization and Intelligence: Advances and Applications", 168-184, Information Science Reference, Hershey,

New York.

R.386) Efthymiopoulos C.: 2009, "Scaling of the diffusion coefficient on the normal form remainder in doubly-resonant

domains", in "Dynamics of Celestial Bodies", eds. Varvoglis H. & Knezevic Z., Publications of the

Astronomical Observatory of Belgrade, Special Issue, 113-116.

R.387) Efthymiopoulos C.: 2008, "On the connection between the Nekhoroshev theorem and Arnold diffusion", Cel.


R.388) Petalas, Y. G., Parsopoulos, K. E. & Vrahatis, M. N.: 2008, "Stochastic optimization for detecting periodic

orbits of nonlinear mappings", Nonlin. Phenom. Complex Syst., 11, 285-291.

R.389) Petalas, Y. G., Parsopoulos, K. E. & Vrahatis, M. N.: 2007, "Entropy-Based Memetic Particle Swarm

Optimization for Computing Periodic Orbits of Nonlinear Mappings", IEEE 2007 Congress on Evolutionary

Computation (CEC 2007), Singapore, 2040-2047.

R.390) Parsopoulos, K. E.: 2004, "Algorithms of computational intelligence for numerical optimization", Ph.D Thesis,

Department of Mathematics, Univ. of Patras (in Greek).

R.391) Parsopoulos K. E. & Vrahatis M. N. : 2003, "Computing periodic orbits of nondifferentiable / discontinuous

mappings through Particle Swarm Optimization", IEEE Swarm Intelligence Symposium (SIS 2003),

Indianapolis, USA, 34-41 (http://www.math.upatras.gr/~kostasp/papers/perorb.pdf).

To paper P.3: Polymilis C., Servizi G. & Skokos Ch.: "A quantitative bifurcation analysis of Hénon-like 2D

maps", 1997, Cel. Mech. Dyn. Astron., 66, 365-385.



New York.








R.396) Dokoumetzidis A. : 2002, "Contribution to the study of heterogeneity of biopharmaceutical, pharmacokinetic

and pharmacodynamic processes", Ph.D. Thesis, School of Pharmacy, Univ. of Athens (in Greek).

To paper P.4: Founargiotakis M., Farantos S. C., Skokos Ch. & Contopoulos G.: "Bifurcation diagrams of

periodic orbits for unbound molecular systems : FH2", 1997, Chem. Phys. Let., 277, 456-464.

R.397) Li Y, Rafaqat M., Zia T.J., Ahmed I. & Jung C.Y.: 2019, "Flip and Neimark-Sacker Bifurcations of a Discrete

Time Predator-Pre Model", IEEEAccess, 7, 123430.

Ch. Skokos 31/07/20 16

R.398) Zhang Q., Li L., Tang D. & Zhao L.: 2016, "Period-Timing Bifurcations in a Dispersion-Managed Fiber Laser

With Zero Group Velocity Dispersion", IEEE Photonics J., 8, 1504608.

R.399) Mali M., Goyal N. & Trivedi H.: 2014, "Geometric Methods in the Theory of Ordinary Differential Equations:

A Review", Int. J. Research Sci. Innovation, 1(5), 37-43.

R.400) Zhou T.: 2013, "Bifurcation" in "Encyclopedia of Systems Biology", eds. Dubitzky W., Wolkenhauer O.,

Yokota H. & ChoK.-H., Springer, 79-86.

R.401) Seoane J.M. & Sanjuán M.A.F.: 2013, "New developments in classical chaotic scattering", Rep. Prog. Phys.,

76, 016001.

R.402) Burkhardt P.: 2004, "Explicit, multi-map symplectic integrator for three-body classical trajectory studies in

hyperspherical coordinates", Ph.D. Thesis, Graduate College, University of Illinois at Urbana-Champaign.

R.403) Prosmiti R., Villarreal P., Delgado-Barrio G. & Roncero O. : 2002, "A combined classical/quantum study of the

photodissociation dynamics of NeBr2(B) near the Br2(B) dissociation limit", Chem. Phys. Let., 359, 229-236.

R.404) Pattard T.: 1998, "Klassische Mechanik und Fragmentationspozesse in atomaren und molekularen Systemen",

Ph.D . Thesis, Fakultät für Physik, Albert-Ludwigs-Universität Freiburg (in German) (http://www.mpipks-

dresden.mpg.de/mpi-doc/rostgruppe/dissertation/diss-tpattard.ps).

To paper P.5: Polymilis C., Skokos Ch., Kollias G., Servizi G. & Turchetti G.: "Bifurcations of beam-beam like

maps", 2000, J. Phys. A, 33, 1055-1064.

R.405) Wang F.: 2014, "Bifurcation Problems for Generalized Beam Equations", Advances Math. Phys., 2014,

635731.



New York.













R.412) Papaphilippou Y. & Zimmermann F. : 2002, "Εstimates of diffusion due to long-range beam-beam collisions",

Phys. Rev. Special Topics - Accelerator and beams, 5, 074001, 1-12.

To paper P.6: Skokos Ch. & Dokoumetzidis A.: "Effective stability of the Trojan asteroids", 2001, Astron.

Astroph., 367, 729-736.

R.413) Caracciolo C. & Locatelli U.: 2020, "Computer-assisted estimates for Birkhoff normal forms", J. Comput. Dyn.,

7, 425-460.

R.414) Giorgilli A.: 2018, "Il flebile sussurro del caos nell’ armonia dei pianeti", in "Meccanica Teorica e Applicata",

eds. Cinquini C., Robbiati Bianchi A. & Sacchi Landriani G., Istituto Lombardo - Accademia di Scienze e

Lettere - Incontri di Studi (http://www.ilasl.org/index.php/Incontri/issue/view/48), 147-198 (in Italian).

R.415) Páez R.I.: 2017, "New normal form approaches adapted to the Trojan problem", Ph.D Thesis, Università degli

studi di Roma “Tor Vergata”, astro-ph.EP/1703.08819.

R.416) Giorgilli A., Locatelli U. & Sansottera M.: 2017, "Secular Dynamics of a Planar Model of the Sun-Jupiter-

Saturn-Uranus System; Effective Stability in the Light of Kolmogorov and Nekhoroshev Theories", Reg. Chaot.

Dyn., 22, 54-77.

R.417) Guzzo M.: 2015, "The Nekhoroshev theorem and long–term stabilities in the Solar system", Serb. Astron. J.,

190, 1-10.

R.418) Hou X., Scheeres D.J. & Liu L.: 2014, "Dynamics of the Jupiter Trojans with Saturn’s perturbation in the

present configuration of the two planets", Cel. Mech. Dyn. Astron., 119, 119-142.

R.419) Sansottera M., Locatelli U. & Giorgilli A.: 2013, "On the stability of the secular evolution of the planar Sun–

Jupiter–Saturn–Uranus system", Math. Comput. in Simul., 88, 1-14.

R.420) Sansottera M.: 2010, "Effective stability of Hamiltonian planetary systems", Ph.D. Thesis, Facoltà di Scienze

Matematiche Fisiche e Naturali, Università Statale degli Studi di Milano.

R.421) Celletti A.: 2010, "Stability and Chaos in Celestial Mechanics", Springer-Verlag.

Ch. Skokos 31/07/20 17

R.422) Hou X. Y. & Liu L.: 2010, "On quasi-periodic motions around the triangular libration points of the real Earth–

Moon system", Cel. Mech. Dyn. Astron., 108, 301-313.

R.423) Robutel P. & Souchay J.: 2010, "An introduction to the dynamics of Trojan asteroids ", Lect. Notes Phys., 790,

195-227.

R.424) Robutel P. & Bodossian J.: 2009, "The resonant structure of Jupiter’s Trojans asteroids-II. What happens for

different configurations of the planetary system", MNRAS, 399, 69-87.

R.425) Lhotka Ch.: 2008, "Nekhoroshev Stability in the Elliptic Restricted Three Body Problem. The 1:1 Resonance in

the Sun-Jupiter System", Ph.D. Thesis, Fakultät für Geowissenschaften, Geographie und Astronomie, Universität

Wien (http://othes.univie.ac.at/3528/).

R.426) Lhotka Ch., Efthymiopoulos C. & Dvorak R. : 2008, "Nekhoroshev stability at L4 or L5 in the elliptic-restricted

three-body problem - application to Trojan asteroids", MNRAS, 384, 1165-1177.

R.427) Schwarz R., Dvorak R., Süli Á. & Érdi B.: 2007, "Survey of the stability region of hypothetical habitable Trojan

planets", Astron. Astroph., 474, 1023–1029.

R.428) Freistetter F. : 2006, "The size of the stability regions of Jupiter Trojans", Astron. Astroph., 453, 353-361.

R.429) Dvorak R. & Freistetter F.: 2005 "Orbit Dynamics, Stability and Chaos in Planetary Systems", Lect. Notes

Phys. 683, 3–140.

R.430) Efthymiopoulos Ch. & Sándor Z. : 2005, "Optimized Nekhoroshev stability estimates for the Trojan asteroids

with a symplectic mapping model of co-orbital motion", MNRAS, 364, 253-271.

R.431) Tsiganis K., Varvoglis H & Dvorak R.: 2005, "Chaotic diffusion and effective stability of Jupiter Trojans", Cel.


R.432) Robutel P., Gabern F. & Jorba À.: 2005, "The observed Trojans and the global dynamics around the

Lagrangian points of the Sun-Jupiter system", Cel. Mech. Dyn. Astron., 92, 53-69.

R.433) Efthymiopoulos Ch.: 2005, "Formal integrals and Nekhoroshev stability in a mapping model for the Trojan

asteroids", Cel. Mech. Dyn. Astron., 92, 29-52.

R.434) Dvorak R. & Schwarz R.: 2005, "On the stability regions of the Trojan asteroids", Cel. Mech. Dyn. Astron., 92,

19-28.

R.435) Gabern F. & Jorba À. : 2005, "Effective computation of the dynamics around a two-dimensional torus of a

Hamiltonian system", J. Nonlinear Science, 15, 159-182.

R.436) Efthymiopoulos Ch.: 2005, "Nekhoroshev stability estimates for different models of the Trojan asteroids", in

"Dynamics of populations of planetary systems", Proc. IAU Col. No. 197, eds. Knežević Z. & Milani A.,

Cambridge Univ. Press, 195-204.

R.437) Gabern F., Jorba À. Locatelli U.: 2005, "On the construction of the Kolmogorov normal form for the Trojan

asteroids", Nonlinearity, 18, 1705-1734.

R.438) Gabern F. & Jorba À. : 2004, "Generalizing the restricted three-body problem. The bianular and tricircular

coherent problems", Astron. Astroph., 420, 751-762.

R.439) Carruba V. : 2004, "Dynamics of asteroid families and irregular satellites of Jovian planets", Ph. D Thesis,

Cornell University.

R.440) Gabern F. & Jorba À. : 2003, "Some models for the Trojan motion", in "Proceedings of the “V Jornadas de

Mecánica Celeste” ", Monografías de la Real Academia de Ciencias de Zaragoza, 22, 11-20,

(http://www.maia.ub.es/dsg/2002/0201gabern.zip).

R.441) Kotoulas T. A. : 2003, "Dynamical evolution of bodies at the regions of resonances of the outer solar system",


(in Greek).

R.442) Gabern F. & Jorba À. : 2003, "Restricted four and five body problems in the Solar system", in "Proceedings of

the Conference Libration Point Orbits and Applications", eds. Gómez G., Lo M. W. & Masdemont J. J., World


R.443) Contopoulos G., Efthymiopoulos C. & Giorgilli A. : 2003, "Non-convergence of formal integrals of motion", J.

Phys. A, 36, 8639-8660.

R.444) Gabern F. : 2003, "On the dynamics of the Trojan asteroids", Ph.D. Thesis, Departament de Matemàtica

Aplicada i Anàlisi, Universitat de Barcelona (http://www.maia.ub.es/~gabern/tesi/0301gabern.pdf).

R.445) IAU Commission 7 : Celestial Mechanics and Dynamical Astronomy (Mecanique Celeste et Astronomie

Dynamique) : 2002, Reports on Astronomy, Vol. XXVA, ed. Rickman H., 15-29.

R.446) Arakida H. & Fukushima T.: 2002, "Motion around triangular Lagrange points perturbed by other bodies", in

"Dynamical friction strikes back. Proceedings of the 34th Symposium on Celestial Mechanics", March 11-13,

2002 at Hakone-Onsen, Kanagawa, Japan, eds. Kokubo E., Ito T., Arakida. Mitaka H., Tokyo, Japan: National

Astronomical Observatory, 265-288

R.447) Dvorak R. & Süli Á. : 2002, "On the stability of the terrestrial planets at models for exosolar planetary

systems", Cel. Mech. Dyn. Astron., 83, 77-95.


Ch. Skokos 31/07/20 18

R.449) Carruba V., Burns J. A., Nicholson P. D. & Gladman B. J. : 2002, "On the inclination distribution of the Jovian

irregular satellites", Icarus, 158, 434-449.

R.450) Tsiganis K. : 2002, "Diffusion of chaotic orbits in Hamiltonian systems: Applications to Celestial Mechanics",


(in Greek).

R.451) Malige F.: 2001, "Stabilité effective des systèmes planétaires. Application au problème séculaire de Jupiter et

Saturne", Ph.D. Thesis, Observatoire de Paris (http://www.imcce.fr/commons/files/pdf/malige_thes.pdf).

To paper P.7: Skokos Ch.: "On the stability of periodic orbits of high dimensional autonomous Hamiltonian

systems", 2001, Physica D, 159, No 3-4, 155-179.



R.453) Nikolov S. & Zlatanov V.: 2019, "Dynamics of a Hamiltonian system with four degrees of freedom", Mech.

Transp. Commun., 17, 1840.

R.454) Antoniadou K.I. & Libert A.-S.: 2019, "Spatial resonant periodic orbits in the restricted three-body problem",

MNRAS, 483, 2923-2940.

R.455) Cheng Y., Gómez G., Masdemont J.J. & Yuan J.: 2018, "Analysis of the Relative Dynamics of a Charged

Spacecraft Moving under the Influence of a Magnetic Field", Commun. Nnlin. Sci. Numer. Sim., 62, 307-338.

R.456) Antoniadou K.I. & Voyatzis G.: 2017, "Circular periodic orbits, resonance capture and inclination excitation

during type II migration" in "Proceedings of the First Greek-Austrian Workshop on Extrasolar Planetary

Systems", eds. Maindl T.I., Varvoglis H. & Dvorak R., 1-20.



R.458) Revuelta F., Craven G.T., Bartsch T., Borondo F., Benito R.M. & Hernandez R.: 2017, "Transition state theory

for activated systems with driven anharmonic barriers", J. Chme. Phys., 147, 074104.

R.459) Dena Á, Abad A. & Barrio R.: 2016, "Efficient computational approaches to obtain periodic orbits in

Hamiltonian systems: application to the motion of a lunar orbiter", Celest. Mech. Dyn. Astr., 124, 51-71.

R.460) Craven G. T. & Hernandez R.: 2016, "Deconstructing field-induced ketene isomerization through Lagrangian

descriptors", Phys. Chem. Chem. Phys., 18, 4008-4018.

R.461) Craven G.T., Bartsch T. & Hernandez R.: 2015, "Chemical reactions induced by oscillating external fields in

weak thermal environments", J. Chem. Phys., 142, 074108.




R.463) Antoniadou K.I. : 2014, "Dynamics of planetary systems in resonances: from the planar to the spatial case",

Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Thessaloniki.

R.464) Buono P.-L., Chan B.S., Palacios A. & In V.: 2013, "Dn symmetric Hamiltonian system: A network of coupled

gyroscopes as a case study", https://arxiv.org/abs/1309.3196.

R.465) Voyatzis G., Antoniadou K.I. & Tsiganis K.: 2014, "Vertical instability and inclination excitation during

planetary migration", Cel. Mech. Dyn. Astron., 119, 221-235.

R.466) Patsis P.A. & Katsanikas M.: 2014, "The phase space of boxy–peanut and X-shaped bulges in galaxies – I.

Properties of non-periodic orbits", MNRAS, 445, 3525-3545.



R.468) Antoniadou K.I. & Voyatzis G.: 2014, "Resonant periodic orbits in the exoplanetary systems", Astrophys. Space

Sci., 349, 657-676.

R.469) Allahem A.: 2014, "Numerical Investigation of Chaotic Dynamics in Multidimensional Transition States", Ph.D

Thesis, Department of Mathematical Sciences, Faculty of Science, Loughborough University.

R.470) Katsanikas M., Patsis P. A. & Contopoulos G: 2013, "Instabilities and stickiness in a 3D rotating galactic

potential", Int. J. Bifurc. Chaos, 23, 1330005.

R.471) Allahem A. & Bartsch T.: 2012, "Chaotic dynamics in multidimensional transition states", J. Chem. Phys. 137,

214310.

R.472) Ito N., Küstner R. & Wimmer H.K.: 2012, "Systems of linear difference equations with bounded and robustly

bounded solutions", Artif. Life Robotics, 17, 140-144.




R.474) Ito N., Küstner R. & Wimmer H.K.: 2011, "Self–inversive matrix polynomials with semisimple spectrum on the

unit circle", Operators and Matrices, 5, 495-503.

Ch. Skokos 31/07/20 19

R.475) Katsanikas M., Patsis P. A. & Pinotsis A. D.: 2011, "Chains of rotational tori and filamentary structures close

to highmultiplicity periodic orbits in a 3D galactic potential", Int. J. Bifurc. Chaos, 21, 2331-2342.

R.476) Katsanikas M., Patsis P. A. & Contopoulos G: 2011, "The structure and evolution of confined tori near a

Hamiltonian Hopf Bifurcation", Int. J. Bifurc. Chaos, 21, 2321-2330.


Chaos, 21, 467-496.



New York.

R.479) Velo A. P., Gazonas G. A. & Ameya T.: 2009, "z-Transform methods for the optimal design of one-dimensional

layered elastic media", SIAM J. Appl. Math., 70, 762-788.

R.480) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D

Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of

Applied Analysis, Department of Mathematics, Univ. of Patras.

R.481) Claussen J. C.: 2008, "Floquet stability analysis of Ott-Grebogi-Yorke and difference control", New J. Phys.,

10, 063006.

R.482) Merlo O. & Benet L.: 2007, "Strands and braids in narrow planetary rings: a scattering system approach", Cel.


R.483) Broucke R., Elipe A. & Riaguas A. : 2006, "On the figure-8 periodic solutions in the three-body problem",

Chaos Solitons & Fractals, 30, 513-520.

R.484) Gao F.: 2005, "Computing unstable period orbits of discrete chaotic system though differential evolutionary

algorithms basing on elite subspace", Systems Engineering: Theory and Practice, 25(4), 96-102

(http://www.wanfangdata.com.cn/qikan/periodical.articles/xtgcllysj/xtgc2005/0504/050415.htm).

R.485) Gao F. & Tong H.-Q.: 2005 "A novel extended differential evolutionary algorithm and its applications", Journal

of Wuhan University (Natural Science Edition), 51(5), 547-551

(http://www.wanfangdata.com.cn/qikan/periodical.articles/whdxxb-zr/whdx2005/0505/050505.htm).

R.486) Katsanikas M. : 2005, "Study of the orbits and of the structure of the phase space in galactic potentials of three

degrees of freedom", M.Sc. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department,


R.487) Kotoulas T. A. : 2005, "The dynamics of the 1:2 resonant motion with Neptune in the 3D elliptic restricted

three-body problem", Astron. Astroph., 429, 1107-1115.



R.489) Merlo O.: 2004, "Through symmetry breaking to higher dimensional chaotic scattering", Ph.D. Thesis,

Philosophisch-Naturwissenschaftlichen Fakultät der Universität Basel.

R.490) Parsopoulos K. E. & Vrahatis M. N. : 2004, "On the computation of all global minimizers through particle

swarm optimazation", IEEE Transaction Evolutionary Computation, 8 (3), 211-224.






R.493) Broucke R., Elipe A. & Riaguas A. : 2002, "On the figure-8 periodic solution in the 3-body problem", AIAA

2002-4544, AIAA/AAS Astrodynamics Specialist Conference, Monterey, California.

To paper P.8: Skokos Ch.: "Alignment indices: A new, simple method for determining the ordered or chaotic

nature of orbits", 2001, J. Phys. A, 34, 10029-10043.

R.494) Dubeibe F.L., Zotos E.E. & Chen W.: 2020, "On the dynamics of a seventh-order generalized Hénon-Heiles

potential", nlin.CD/2003.10556.



R.496) Choudhary A., Lindner J.F., Holliday E.G., Miller S.T., Sinha S. & Ditto W.L.: 2020, "Physics-enhanced neural

networks learn order and chaos", Phys. Rev. E, 101, 062207.



R.498) Zotos E.E.: 2020, "Orbital analysis in the planar circular Copenhagen problem using polar coordinates",

Math. Meth. Appl. Sci., 43, 2020-2031.

Ch. Skokos 31/07/20 20

R.499) González-Férez R., Iñarrea M., Pablo Salas J. & Schmelcher P.: 2020, "Nonlinear dynamics and energy transfer

for two rotating dipoles in an external field: A complete dimensional analysis", Commun. Nonlin. Sci. Num.

Simul., 82, 105049.

R.500) Zotos E.E. & Veras D.: 2020, "The grain size survival threshold in one-planet post-main-sequence exoplanetary

systems", A&A, 637, A14.

R.501) Zotos E.E., Qi Y., Steklain A.F. & Saeed T.: 2020, "Determining the nature of motion around Jupiter-like

exoplanets using the elliptic restricted three-body problem", Plan. Space Sci., 187, 104945.

R.502) Zotos E.E., Érdi B., Saeed T. & Alhodaly M.Sh.: 2020, "Orbit classification in exoplanetary systems", A&A,

634, A60.

R.503) Zotos E.E.: 2020, "Orbit Taxonomy in an Electromagnetic Binary System of Two Magnetic Dipoles", Int. J.






R.506) Zotos E.E.& Jung C.: 2020, "A three-dimensional dynamical model for double-barred galaxies, escape

dynamics and the role of the NHIMs", Comm. Nonlin.Sci. Num. Simul., 80, 104989.

R.507) Osorio-Vargasa J.E., Dubeibe F.L. & González G.A.: 2020, "Orbital dynamics in the photogravitational

restricted four-body problem: Lagrange configuration", Phys. Lett. A, 384, 126305.

R.508) Zotos E.E., Suraj Md S., Aggarwal R. & Mittal A.: 2019, "Orbit classification in the Copenhagen problem with

oblate primaries", Astr. Nachr., 340, 760-770.

R.509) Zotos E.E., Perdiou A. & Kalantonis V.: 2019, "Numerical investigation for the dynamics of the planar circular

Pluto-Charon system", Plan. Space Sci., 179, 104718.

R.510) Zotos E.E., Papadakis K.E., Suraj M.S., Mittal A. & Aggarwal R.: 2019, "Networks of periodic orbits in the

circular restricted threebody problem with first order post-Newtonian terms", Meccanica, 54, 2339-2365.




R.512) Zotos E.E., Steklain A.F: 2019, "On the nature of the motion of a test particle in the pseudo-Newtonian Hill

system", Astrophys. Space Sci., 364, 184.

R.513) Deleanu D.: 2019, "Indicatori ai teoriei haosului", Editura NAUTICA, ISBN 978-606-681-127-9 (in

Romanian).

R.514) Bhardwaj R. & Bangia A.: 2019, "Dynamic Indicator for the Prediction of Atmospheric Pollutants", Asian J.

Water, Envir. Pollut., 16, 39–50.

R.515) Turchetti G. & Panichi F.: 2019, "Fast Indicators for Orbital Stability: A Survey on Lyapunov and Reversibility

Errors" [Online First], IntechOpen, DOI: 10.5772/intechopen.88085. Available from:

https://www.intechopen.com/online-first/fast-indicators-for-orbital-stability-a-survey-on-lyapunov-and-

reversibility-errors.

R.516) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2019, "Chaos in growing bar models", Rev. Mexic.

Astron. Astrof., 55, 321-335.



R.518) Zotos E.E.& Qi Y.: 2019, "Near-optimal capture in the planar circular restricted Pluto-Charon system", Planet.

Space Sci., 165, 85-98.

R.519) Zotos E.E.& Papadakis K.: 2019, "Orbit classification and networks of periodic orbits in the planar circular

restricted five-body problem", Int. J. Non-Lin. Mech., 111, 119-141.

R.520) Revuelta F., Benito R.M. & Borondo F.: 2019, "Unveiling the chaotic structure in phase space of molecular

systems using Lagrangian descriptors", Phys. Rev. E, 99, 032221.



R.522) Zotos E.E.& Nagler J.: 2019, "On the classification of orbits in the three-dimensional Copenhagen problem

with oblate primaries", Int. J. Non-Lin. Mech., 108, 55-71.



R.524) Vozikis C., Kleidis K. & Papaioannou S.: 2018, "The power spectrum indicator: A new, efficient method for the

early detection of chaos", nlin.CD/1808.00223.

R.525) Riaño-Doncel A.: 2018, "Dinámica orbital en un sistema axialsimétrico generalizado de Hénon-Heiles", BSc

Thesis, Facultad de Ciencias Humanas y de la Educación, Universidad de los Llanos, Colombia.

Ch. Skokos 31/07/20 21

R.526) Djondiné P. & Barbot J.-P.: 2018, "Nonlinear dynamic of the multicellular chopper", Int. J. Nonlinear Anal.

Appl., 9, 21-31.

R.527) Zotos E.E. & Dubeibe F.L.: 2018, "Orbital dynamics in the post-Newtonian planar circular restricted Sun–

Jupiter system", Int. J. Mod. Phys. D, 27, 1850036.

R.528) Zotos E.E., Dubeibe F.L. & González G.A.: 2018, "Orbit classification in an equal-mass non-spinning binary

black hole pseudo-Newtonian system", MNRAS, 477, 5388-5405.

R.529) Zotos E.E.& Jung C.: 2018, "Correlating the escape dynamics and the role of the normally hyperbolic invariant

manifolds in a binary system of dwarf spheroidal galaxies", Int. J. Non-Lin. Mech., 99, 182-203.

R.530) Sánchez-Martín P., Masdemont J.J. & Romero-Gómez M.: 2018, "From manifolds to Lagrangian coherent

structures in galactic bar models", A&A, 618, A72.

R.531) Qi Y. & de Ruiter A.: 2018, "Low-energy transfers to long-term capture in the Earth-Moon system", Acta

Aston., 152, 836-849.



R.533) Dubeibe F.L., Riaño-Doncel A. & Zotos E.E.: 2018, "Dynamical analysis of bounded and unbounded orbits in

a generalized Hénon–Heiles system", Phys. Lett. A, 382, 904-910.




1728-1738.



R.537) Zotos E.E.& Jung C.: 2018, "Orbital and escape dynamics in barred galaxies - III. The 3D system: Correlations

between the basins of escape and the NHIMs", MNRAS, 473, 806-825.





R.540) Djondiné P. & Barbot J.-P.: 2017, "Dynamical Properties and Chaos of the Multicellular Converter Associated

With a Nonlinear Load", Int. J. Adv. Res. Electrical, Electronics and Instrumentation Engineering, 6, 8014-

8022.

R.541) Cvitanović P., Artuso R., Mainieri R., Tanner G. & Vattay G.: 2017, "Chapter 2: Go with the flow" in online


R.542) Cvitanović P., Artuso R., Mainieri R., Tanner G. & Vattay G.: 2017, "Chapter 4: Local stability" in online book

"Chaos: Classical and Quantum. I: Deterministic Chaos", version 15.9, http://chaosbook.org/.



R.544) Ruiz G., Tirnakli U., Borges E.P. & Tsallis C.: 2017, "Statistical characterization of discrete conservative

systems: The web map", Phys. Rev. E, 96, 042158.

R.545) Ruiz G., Tirnakli U., Borges E.P. & Tsallis C.: 2017, "Statistical characterization of the standard map", J. Stat.

Mech.:Theory Exp., 063403.

R.546) Sokolović I., Mali P., Odavić J, Radošević S., Medvedeva S.Yu., Botha A.E., Shukrinov Yu. M. & Tekić J.:

2017, "Devil’s staircase and the absence of chaos in the dc- and ac-driven overdamped Frenkel-Kontorova

model", Phys. Rev. E, 96, 022210.




R.548) Wontchui T.T., Effa J.Y., Fouda H.P.E. & Fouda J.S.A.E.: 2017, "Dynamical behavior of Peter-De-Jong map

using the modified 0-1 and 3ST tests for chaos", ARCTBDS, 7, 1-21.

R.549) Zhang T.: 2017, "Chaotic Vortex Dynamics in Bose-Einstein Condensates", M.Sc. Thesis, Department of

Physics, Norwegian University of Science and Technology.

R.550) Zotos E.E.: 2017, "An overview of the escape dynamics in the Hénon–Heiles Hamiltonian system", Meccanica,

52, 2615-2630.

R.551) Zotos E.E.: 2017, "Orbit classification in the Hill problem: I. The classical case", Nonlinear Dyn., 89, 901-923.

R.552) Zotos E.E.: 2017, "Elucidating the escape dynamics of the four hill potential", Nonlinear Dyn., 89, 135-151.

R.553) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2017, "Using the SALI Method to Distinguish Chaotic

and Regular Orbits in Barred Galaxies with the LP-VIcode Program", Prog. Phys., 13, 161-165.

R.554) Bastarrachea-Magnani M.A., López-del-Carpio B., Chávez-Carlos J., Lerma-Hernández S. & Hirsch J.G.: 2017,

"Regularity and chaos in cavity QED", Phys. Scripta, 92, 054003.

Ch. Skokos 31/07/20 22

R.555) Liu L., Wu X. & Huang G.: 2017, "Geodesic motions of test particles in a relativistic core–shell spacetime",

Gen. Relativ. Gravit., 49, 28.

R.556) Zotos E.E.: 2017, "Distinguishing between order and chaos in a simple barred galaxy model", Astron. Nachr.,

338, 614-620.

R.557) Zotos E.E. & Jung C.: 2017, "Unravelling the escape dynamics and the nature of the normally hyperbolic

invariant manifolds in tidally limited star clusters", MNRAS, 465, 525-546.

R.558) Sahni N., Sarma T.P. & Saha L.M.: 2016, "Dynamic Lyapunov Indicator (DLI): A Perfect indicator for

Evolutionary System", J. Appl. Comput. Sci. Math., 10, 40-45.



R.560) Deleanu D.: 2016, "From order to chaos with Standard Map and Orthogonal Fast Lyapunov Indicator", in

"Scientific Proceedings XXIV International Scientific-Technical Conference ‘trans & MOTAUTO 16’"

(http://trans-motauto.com/1-2016.html), 43-46.

R.561) Zotos E.E.: 2016, "Escape and collision dynamics in the planar equilateral restricted four-body problem", Int.

J. Non-Linear Mech., 86, 66-82.

R.562) Zotos E.E.: 2016, "Classifying orbits of low and high energy stars in axisymmetric disk galaxies", Baltic

Astron., 25, 139-151.

R.563) Zotos E. E.: 2016, "Fractal basin boundaries and escape dynamics in a multiwell potential", Nonlinear Dyn.,

85, 1613-1633.

R.564) Wang Y., Athanassoula E. & Mao S.: 2016, "Orbital classification in an N-body bar", MNRAS, 463, 3499-

3512.

R.565) Vallejo J.C. & Sanjuán M.A.F.: 2016, "Role of dark matter haloes on the predictability of computed orbits",

A&A, 595, A68.







R.569) Jung C. & Zotos E. E.: 2016, "Orbital and escape dynamics in barred galaxies – I. The 3D system: exploring

the role of the normally hyperbolic invariant manifolds", MNRAS, 463, 3965-3988.

R.570) Deleanu D.: 2016, "Some numerical experiments on the application of relative Lyapunov indicator to

symplectic and dissipative mappings", Constanta Maritime University Annals, 25, 167-174.





R.573) Zotos E. E.: 2016, "Escape dynamics and fractal basins boundaries in the three-dimensional Earth-Moon

system", Astroph. Space Sci., 361, 94.

R.574) Jung C. & Zotos E. E.: 2016, "Orbital and escape dynamics in barred galaxies – I. The 2D system", MNRAS,

457, 2583-2603.

R.575) Yu Y., Baoyin H. & Jiang Y.: 2015, "Constructing the natural families of periodic orbits near irregular

bodies", MNRAS, 453, 3269-3277.


Chaos, 25, 1550116.



R.578) Zotos E.E. & Caranicolas N.D: 2016, "Determining the type of orbits in the central regions of barred galaxies",

RAA, 16, 26.

R.579) Saha L.M. & Saxena M.: 2016, "Indicators of regularity and chaos", J Tech. Adv. Sci. Res., 2, 01-08.

R.580) Zotos E.E.: 2016, "Escape dynamics in a binary system of interacting galaxies", New Astron., 42, 10-23.

R.581) Zotos E.E.: 2016, "Fugitive stars in active galaxies", Nonlinear Dyn., 83, 1477-1496.

R.582) Deleanu D.: 2015, "Comment on the implementation of “0 – 1” test for tinkerbell map", Constanta Maritime

University Annals, 24, 109-116.

R.583) Zotos E.E.: 2015, "Escape dynamics in a Hamiltonian system with four exit channels", Nonlinear Stud., 22,

433-452.

R.584) Zotos E.E.: 2015, "Escapes in Hamiltonian systems with multiple exit channels: part II", Nonlinear Dyn., 82,

357-398.

R.585) Jung C. & Zotos E. E.: 2015, "Introducing a New 3D Dynamical Model for Barred Galaxies", PASA, 32, e042.

Ch. Skokos 31/07/20 23

R.586) Djondiné P., Barbot J.-P. & Ghanes M.: 2015, "Nonlinear phenomena study in serial multicell chopper", IFAC-

PapersOnLine, 48-18,105-110.



R.588) Zotos E.E.: 2015, "Escape dynamics and fractal basin boundaries in Seyfert galaxies", Nonlinear Dyn., 80,

1109-1131.

R.589) Zotos E.E.: 2015, "Classifying orbits in the classical Hénon–Heiles Hamiltonian system", Nonlinear Dyn., 79,

1665-1677.


451, 1637-1648.

R.591) Vallejo J.C. & Sanjuán M.A.F.: 2015, "The forecast of predictability for computed orbits in galactic models",

MNRAS, 447, 3797-3811.

R.592) Stránský P. & Cejnar P.: 2015, "Study of a curvature-based criterion for chaos in Hamiltonian systems with two

degrees of freedom", J. Phys. A: Math Theor., 48, 125102.


Mech. Dyn. Astr., 123, 45-61.

R.594) Zotos E.E.: 2015, "Revealing the escape mechanism of three-dimensional orbits in a tidally limited star

cluster", MNRAS, 446, 770-792.








R.598) Zotos E.E. & Caranicolas N.D.: 2014, "Interplay between Dark Matter and Galactic Structure in Disk and

Oblate Elliptical Galaxies", J. Astrophys. Astr., 35, 649-673.

R.599) Zotos E.E.: 2014, "How does the mass transport in disk galaxy models influence the character of orbits?",

Baltic Astron., 23, 151-170.

R.600) Koksin A.M. & Shefer V.A.: 2014, "Variational Chaos Indicators: Application to the Restricted Three-Body

Problem", Proceedings IAU Symp. 310, eds. Knežević Z. & Lemaitre A., 35-38.

R.601) Zotos E.E.: 2014, "Escapes in Hamiltonian systems with multiple exit channels: part I", Nonlinear Dyn., 78,

1389-1420.

R.602) Zotos E.E.: 2014, "Determining the nature of orbits in a three-dimensional galaxy model hosting a BL Lacertae

object", Astron. Nachr., 335, 886-899.


Astron. Nachr., 335, 877-885.

R.604) Djondiné P., Ghanes M., Barbot J.-P. & Essimbi B.: 2014, "Dynamical Behaviors of Multicellular Chopper", J.

Control Sci. Eng., 2, 35-42.

R.605) Deleanu D.N.: 2014, "Fast Detection of Chaotic or Regular Behavior of Double Pendulum System: Application

of the Fast Norm Vector Indicator Method", J. Phys. Sci. Appl., 4, 291-303.

R.606) Deleanu D.D.: 2014, "Asymmetry Coefficients and Chaos Determination. Application to the Henon - Heiles

Hamiltonian", Chaotic Modeling and Simulation, 1, 21-28.

R.607) Cejnar P. & Stránský P.: 2014, "Understanding Chaos via Nuclei", in "Proceedings of the 1st Latin American

School of Physics ‘Marcos Moshinsky’ - Nonlinear Dynamics in Hamiltonian Systems", AIP Conference

Proceedings, 1575, 23-49.

R.608) Zotos E.E.: 2014, "How does the structure of spherical dark matter haloes affect the types of orbits in disk

galaxies?", Baltic Astron., 23, 37-54.

R.609) Zotos E.E.: 2014, "A Hamiltonian system of three degrees of freedom with eight channels of escape: The Great

Escape", Nonlinear Dyn., 76, 1301-1326.

R.610) Zotos E.E. & Caranicolas N.D.: 2014, " Determining the nature of orbits in disk galaxies with non-spherical

nuclei", Nonlinear Dyn., 76, 323-344.

R.611) Zotos E.E.: 2014, "Classifying orbits in galaxy models with a prolate or an oblate dark matter halo

component", Astron. Astroph., 563, A19.

R.612) She Z. & Cheng X.: 2014, "The existence of a Smale horseshoe in a planar circular restricted four-body

problem", Cel. Mech. Dyn. Astron., 118, 115-127.



Ch. Skokos 31/07/20 24




R.616) Huang G. & Cao Z.: 2014, "Numerical analysis and circuit realization of the modified LÜ chaotic system", Syst.

Sci. & Control Eng., 2, 74-79.

R.617) Fouda J.S.A.E., Bodo B., Sabat S.L. & Effa J.Y.: 2014, "A Modified 0-1 Test for Chaos Detection in

Oversampled Time Series Observations", Int. J. Bifur. Chaos, 24, 1450063.

R.618) Carpintero D.D., Muzzio J.C. & Navone H.D.: 2014, "Models of cuspy triaxial stellar systems. III: The effect of

velocity anisotropy on chaoticity", MNRAS, 438, 2871-2881.

R.619) Carpintero D.D., Maffione N. & Darriba L.: 2014, "LP-VIcode: A program to compute a suite of variational

chaos indicators", Astronomy and Computing, 5, 19-27.

R.620) Bharti Dr., 2014, "Concept of Transient Chaos and Energy Variability in Double Well Duffing Oscillator",

Excell. Int. J. Edu. Research, 2, 474-482.

R.621) Wąż P.: 2014, "New indicators of chaos", Appl. Math. Comput., 227, 449-455.

R.622) Deleanu D.N.: 2014, "Fast detection of chaotic or regular behavior of double pendulum system: application of

the fast norm vector indicator method", in "SEECCM III, 2013, 3rd South-East European Conference on

Computational Mechanics", eds. Papadrakakis M., Kojic M. & Tuncer I., 455-469.

R.623) Carpintero D.D., Maffione N.P. & Darriba L.A.: 2013, "La Plata Variational Indicators code. A program to

compute a suite of variational chaos indicators. User's Guide for Version 1.0.2 (Kaos)", http://lp-

vicode.fcaglp.unlp.edu.ar//manual-LPVIcodeKaosv1.0.2.pdf

R.624) Vallejo J.C. & Sanjuán M.A.F.: 2013, "Predictability of orbits in coupled systems through finite-time Lyapunov

exponents", New J. Phys., 15, 113064.

R.625) Zotos E.E. & Caranicolas N.D.: 2013, "Order and chaos in a new 3D dynamical model describing motion in

non-axially symmetric galaxies", Nonlinear Dyn., 74, 1203-1221.

R.626) Zotos E.E.: 2013, "Exploring the origin, the nature, and the dynamical behavior of distant stars in galaxy

models", Nonlinear Dyn., 74, 831-847.

R.627) Fouda J.S.A.E., Effa J.Y., Kom M. & Ali A.: 2013, "The three-state test for chaos detection in discrete maps",

Appl. Soft Comput., 13, 4731-4737.

R.628) Contopoulos G. & Harsoula M.: 2013, "3D chaotic diffusion in barred spiral galaxies", MNRAS, 436, 1201-

1214.

R.629) Cincotta P.M., Efthymiopoulos C., Giordano C.M. & Mestre M.F.: 2014, "Chirikov and Nekhoroshev diffusion

estimates: bridging the two sides of the river", Physica D, 266, 49-64.

R.630) Huang G. & Zhou Y.: 2013, "Circuit simulation of the modified Lorenz system", J. Inform. Comput. Sci. 10,

4763-4772.



R.632) Milenkovic P.: 2013, "Projective constraint stabilization for a power series forward dynamics solver", J. Dyn.

Syst. Measur. Control, 135, 031004.

R.633) Faber N.T, Flitti F., Boily C.M., Collet C., Patsis P.A. & Portegies Zwart S.: 2013, "Classifying two-

dimensional orbits using pattern recognition", New Astron., 25,74-88.




VCH.

R.636) Hubaux C., Libert A.-S., Delsate N. & Carletti T.: 2013, "Influence of Earth’s shadowing effects on space

debris stability", Adv. Space Research, 51, 25-38.

R.637) Zotos E.E.: 2012, "A new dynamical indicator for chaos detection in galactic Hamiltonian systems", Math.

Engin. Sci. Aerospace (MESA), 3, 163-178.

R.638) Deleanu D.N.: 2012, "Strong and weak points of recent indicators of chaos and order used in dynamical

systems studies", in "ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences

and Engineering", e-Book Full Papers, 9138-9151.

R.639) Saha L.M. & Sahni N.: 2012, "Chaotic evaluations in a modified coupled logistic type predator-prey model",

App. Math. Sci., 6(139), 6927-6942.

R.640) Zotos E.E.: 2012, "The Fast Norm Vector Indicator (FNVI) method: a new dynamical parameter for detecting

order and chaos in Hamiltonian systems", Nonlinear Dyn., 70, 951-978.





Ch. Skokos 31/07/20 25

R.643) Karanis G.I : 2012, "Simulations of star motion in galactic models and their connection to the inverse problem

of dynamics ", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of

Thessaloniki (in Greek).

R.644) Zotos E.E.: 2012, "Application of new dynamical spectra of orbits in Hamiltonian systems", Nonlinear Dyn., 69,

2041-2063.



R.646) Gerlach E. & Haghighipour N.: 2012, "Can GJ 876 host four planets in resonance?", Cel. Mech. Dyn. Astron.

113, 35-47.

R.647) Huang G.Q. & Wu X.: 2012, "Analysis of new four-dimensional chaotic circuits with experimental and

numerical methods", Int. J. Bifur. Chaos, 22, 1250042.

R.648) Caranicolas N.D. & Zotos E.E.: 2012, "Investigating the nature of motion in 3D perturbed elliptic oscillators

displaying exact periodic orbits", Nonlinear Dyn., 69, 1795-1805.

R.649) Khondekar M.H., Ghosh D.N., Ghosh K. & Bhattacharya A.K.: 2012, "Nonlinearity and chaos in 8B solar

neutrino flux signals from sudbury neutrino observatory", Fractals 20, 17-32.



R.651) Huang G-Q & Wu X.: 2011, "Hopf bifurcation of permanent-magnet synchronous motor chaos system", 2011

International Conference on Computational and Information Sciences, ICCIS 2011, IEEE Computer Society,

Conference Publishing Services (CPS), 1204-1207.

R.652) Zotos E.E.: 2011, "A new dynamical parameter for the study of sticky orbits in a 3D galactic model", Baltic

Astron., 20, 339.

R.653) Huang G-Q & Wu X.: 2011, "Analysis of permanent-magnet synchronous motor chaos system", Lecture Notes

in Computer Science, 7002, 257–263.



307.

R.655) Li R. & Wu X.: 2011, "Application of the fourth-order three-stage symplectic integrators in chaos

determination", Eur. Phys. J. Plus, 126, 73.



R.657) Manos T. & Athanassoula E.: 2011, "Regular and chaotic orbits in barred galaxies - I. Applying the SALI/GALI

method to explore their distribution inseveral models", MNRAS, 415, 629-642.

R.658) Libert A.-S., Hubaux C. & Carletti T.: 2011, "The Global Symplectic Integrator: an efficient tool for stability

studies of dynamical systems. Application to the Kozai resonance in the restricted three-body problem",

MNRAS, 414, 659-667.

R.659) Maffione N.P., Giordano C.M. & Cincotta P.M.: 2011, "Testing a fast dynamical indicator: The MEGNO", Int.

J, Non-Linear Mech., 46, 23-34.



New York.

R.661) Macek M, Dobeš J., Stránský P. & Cejnar P.: 2010, "Regularity-Induced Separation of Intrinsic and Collective

Dynamics", Phys. Rev. Let., 105, 072503.

R.662) Macek M, Dobeš J. & Cejnar P.: 2010, "Occurrence of high-lying rotational bands in the interacting boson

model", Phys. Rev. C, 82, 014308.

R.663) Zhong S.-Y.& Wu X.: 2010, "Manifold corrections on spinning compact binaries", Phys. Rev. D, 81, 104037.

R.664) Antonopoulos Ch., Basios V. & Bountis T.: 2010, "Weak chaos and the ‘Melting Transition’ in a confined

microplasma system", Phys. Rev. E, 81, 016211.

R.665) Christodoulidi H.: 2009, "Dynamics of low dimensional tori and chaos in many degrees of freedom Hamiltonian

systems", Ph.D Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras (in Greek).

R.666) Waż P. & Bielińska-Waż D.: 2009, "Asymmetry coefficients as indicators of chaos", Acta Phys. Pol. A, 116,

987-991.

R.667) Stránský P., Hruška P. & Cejnar P.: 2009, "Quantum chaos in the nuclear collective model: Classical-quantum

correspondence", Phys. Rev. E, 79, 046202.

R.668) Bountis T. & Papadakis K. E.: 2009, "The stability of vertical motion in the N-body circular Sitnikov problem",

Cel. Mech. Dyn. Astr., 104, 205-225.

R.669) Balestrino A., Caiti A. & Crisostomi E.: 2009, "Generalised entropy of curves for the analysis and classification

of dynamical systems", Entropy, 11, 249-270.

Ch. Skokos 31/07/20 26

R.670) Bountis T., Manos T. & Christodoulidi H.: 2009, "Application of the GALI Method to Localization Dynamics in

Nonlinear Systems", J. Comp. Appl. Math., 227, 17-26.

R.671) Gottwald G. A. & Melbourne I. : 2009, "On the Implementation of the 0–1 Test for Chaos", SIAM J. Appl.

Dynam. Syst., 8, 129-145.

R.672) Harsoula M. & Kalapotharakos C.: 2009, "Orbital structure in N-body models of barred-spiral galaxies",

MNRAS, 394, 1605-1619.

R.673) Nagaitsev S., Danilov V. & Romanov A.: 2009, "Search for integrable 4-D accelerator mappings", Beams-doc

3374 (http://beamdocs.fnal.gov/AD-public/DocDB/ShowDocument?docid=3374).

R.674) Sideris I. : 2009, "Chaos analysis using the patterns method", in " Chaos in Astronomy", Astrophysics and

Space Science Proceedings, eds. Contopoulos G. & Patsis P. A., Springer-Verlag, 347-355.

R.675) Kalapotharakos C.: 2009, "Orbital distributions and self-consistency in elliptical galaxies", in " Chaos in

Astronomy", Astrophysics and Space Science Proceedings, eds. Contopoulos G. & Patsis P. A., Springer-

Verlag, 215-224.

R.676) Manos T. & Athanassoula E.: 2009, "Dynamical study of 2D and 3D barred galaxy models", in " Chaos in


Verlag, 115-122.

R.677) Harsoula M., Contopoulos G. & Kalapotharakos C.: 2009, "Orbital structure in barred galaxies and the role of

chaos", in " Chaos in Astronomy",Astrophysics and Space Science Proceedings, eds. Contopoulos G. & Patsis

P. A., Springer-Verlag, 53-61.

R.678) Kovács B.: 2008, "Survey of chaoticity of zones near equilibrium points for the restricted problem of three

bodies, with SALI and FLI surfaces, calculated with a conservative integrator", Műszaki Szemle, 43, 32-40

(http://www.epa.hu/html/vgi/kardexlap.phtml?id=28).

R.679) Petalas, Y. G., Antonopoulos C. G., Bountis T. C. & Vrahatis, M. N.: 2008, "Evolutionary methods for the

approximation of the stability domain and frequency optimization of conservative maps", Int. J. Bifurc. Chaos,

18, 2249-2264.

R.680) Balestrino A., Caiti A., Crisostomi E. & Grioli G.: 2008, "A generalized entropy of curves: an approach to the

analysis of dynamical systems", Proceedings of the 47th

IEEE Conference on Decision and Control (CDC),

Cancun, Mexico, 856-861.

R.681) Yuasa M. & Saha L. M.: 2008, "Indicators of chaos", Bulletin of the Research Institute for Science and

Technology, Kinki Univ., Osaca, Japan, 20, 1-20, http://www.rist.kindai.ac.jp/no.20/yuasa.pdf.




R.683) Losada J. C., Benito R. M. & Borondo F.: 2008, "Frequency map analysis of the 3D vibrational dynamics of the

LiCN/LiNC molecular system", Eur. Phys. J. Sp. Top., 165, 183-193.

R.684) Vallejo J. C., Viana R. L. & Sanjuán M. A. F.: 2008, "Local predictability and nonhyperbolicity through finite

Lyapunov exponent distributionsin two-degrees-of-freedom Hamiltonian systems", Phys. Rev. E, 78, 066204.

R.685) Kalapotharakos C.: 2008, "The rate of secular evolution in elliptical galaxies with central masses", MNRAS,

389, 1709-1721.

R.686) Koukouloyannis V., Tziotzios T. & Voyatzis G.: 2008, "A method for studying the stability and the existence of

discrete breathers in a chain of coupled symplectic maps", Nonlin. Phenom. Complex Syst., 11, 233-240.

R.687) Efthymiopoulos C., Voglis N. & Kalapotharakos C.: 2008, "Special features of galactic dynamics", Lect. Notes

Phys.729, 297-389.

R.688) Wu X. & Xie Y.: 2008, "Resurvey of order and chaos in spinning compact binaries", Phys. Rev. D, 77, 103012.

R.689) Soulis P. S., Papadakis K. E. & Bountis T.: 2008, "Periodic orbits and bifurcations in the Sitnikov four-body

problem", Cel. Mech. Dyn. Astr., 100, 251-266.

R.690) Faber N. T., Boily C. M. & Portegies Zwart S.: 2008, "On time-dependent orbital complexity in gravitational N-

body simulations", MNRAS, 386, 425-439.

R.691) Karanis G. I. & Vozikis Ch. L. : 2008, "Fast detection of chaotic behavior in galactic potentials",

Astronomische Nachrichten, 329, 403-412.

R.692) Voyatzis G.: 2008, "Chaos, Order, and Periodic Orbits in 3:1 Resonant Planetary Dynamics", Astroph. J., 675,

802-816.

R.693) Lukes-Gerakopoulos G., Voglis N. & Efthymiopoulos C.: 2008, "The production of Tsallis entropy in the limit

of weak chaos and a new indicator of chaoticity", Physica A, 387, 1907-1925.

R.694) Paleari S. & Penati T.: 2008, "Numerical Methods and Results in the FPU Problem", Lect. Notes Phys., 728,

239–282.

R.695) Tailleur J.: 2007, "Grandes déviations, physique statistique et systèmes dynamiques", Ph.D. Thesis, L’

Université Pierre et Marie Curie (in French).

Ch. Skokos 31/07/20 27

R.696) Kovács B.: 2007, "About the efficiency of Fast Lyapunov Indicator surfaces and Small Alignment Indicator

surfaces", Astron. Dept. of the Eötvös Univ., PADEU, 19, 221-236.




R.698) Saha L. M. & Budhraja M.: 2007, "The largest eigenvalue: an indicator of chaos?", Int. J. Appl. Math. Mech.,

3(1), 61-71.

R.699) Voglis N., Harsoula M. & Contopoulos G.: 2007, "Orbital structure in barred galaxies", MNRAS, 381, 757–

770.

R.700) Stránský P., Cejnar P. & Macek M.: 2007, "Order and chaos in the Geometric Collective Model", Phys. Atom.

Nucl., 70(9), 1572-1576.

R.701) Macek M., Stránský P., Cejnar P., Heinze S., Jolie J. & Dobeš J.: 2007, "Classical and quantum properties of

the semiregular arc inside the Casten triangle", Phys. Rev. C, 75, 064318.

R.702) Soulis P., Bountis T. & Dvorak R.: 2007, "Stability of motion in the Sitnikov 3-body problem", Cel. Mech. Dyn.

Astr., 99, 129-148.

R.703) Capuzzo-Dolcetta R., Leccese L., Merritt D. & Vicari A.: 2007, "Self-consistent models of cuspy triaxial

galaxies with dark matter haloes", Astroph. J., 666, 165-180.

R.704) Antonopoulos Ch.: 2007, "Stability and chaos in Hamiltonian systems of many degrees of freedom: from

classical to statistical mechanics", Ph.D. Thesis, Division of Applied Analysis, Department of Mathematics,

Univ. of Patras (in Greek).

R.705) Lunedei E.: 2006, "Ricorrenze di Poincaré in sistemi dinamici a bassa dimensionalità", Ph.D. Thesis,

Dipartimento di Fisica, Univ. degli studi di Bologna (in Italian).

R.706) Antonopoulos Ch. & Bountis T.: 2006, "Detecting order and chaos by the Linear Dependence Index (LDI)

method", ROMAI J., Vol. 2, No. 2, 1-13.

R.707) Manos T. & Athanassoula E.: 2006, "Chaos and the dynamical evolution of barred galaxies", in "The Fabulous

Destiny of Galaxies: Bridging Past and Present. Proceedings of the Vth Marseille International Cosmology

conference", eds. LeBrun V., Mazure A., Arnouts S. & Burgarella D., Paris: Frontier Group, ISBN 2914601190,

541-542.

R.708) Süli Á.: 2006, "Motion indicators in the 2D standard map", Astron. Dept. of the Eötvös Univ., PADEU, 17, 47-

62.

R.709) Süli Á.: 2006, "Speed and efficiency of chaos detection methods", in "Proceedings of the 4th Austrian Hungarian

workshop on Celestial Mechanics", eds. Süli Á., Freistetter F. & Pál A., Publications of the Astronomy

Department of the Eötvös University, Vol. 18, 179-189.

R.710) Wu X. Huang T.-Y. & Zhang H.: 2006, "Lyapunov indices with two nearby trajectories in a curved spacetime",

Phys. Rev. D, 74, 083001.

R.711) Barrio R.: 2006, "Painting chaos: A gallery of sensitivity plots of classical problems", Int. J. Bifurc. Chaos,

16(10), 2777-2798.

R.712) Barrio R.: 2006, "Painting chaos: OFLI2

TT", in "Actas de las VIII Jornadas de Mecánica Celeste", Monografías

de la Real Academia de Ciencias de Zaragoza, 28, 85-94,

http://www.unizar.es/acz/05Publicaciones/Monografias/MonografiasPublicadas/Monografia28/IndMonogr28.ht

m

R.713) Manos T. & Athanassoula E.: 2006, "Barred Galaxies: Studying the chaotic and ordered nature of orbits", in

"Recent Advances in Astronomy and Astrophysics: 7th International Conference of the Hellenic Astronomical

Society", ed. Solomos N., AIP Conference Proceedings, Vol. 848, 662-668.

R.714) Voglis N. & Kalapotharakos C.: 2006, "The role of ordered and chaotic motion in N-body models of elliptical

galaxies", in "Astrophysical Disks", eds. Fridmann A. M., Marov M. Ya & Kovalenko I. G., ASSL series,

Springer, 157-194.

R.715) Bountis T. : 2006, "Stability of motion: From Lyapunov to the dynamics of N-degree of freedom Hamiltonian

systems", Nonlinear Phen. Compl. Syst., 9(3), 209-239.

R.716) Voglis N., Stavropoulos I. & Kalapotharakos C.: 2006, "Chaotic motion and spiral structure in self-consistent

models of rotating galaxies", MNRAS, 372, 901-922.

R.717) Antonopoulos Ch., Petalas G., Bountis T. & Vrahatis M. N.: "Determination of the dynamic aperture of

symplectic mappings using evolution algorithms", in "Order and Chaos", Vol. 9, Proceedings of the 18th

Summer School – Panhellenic Conference ‘Non linear Science and Complexity’, eds. Bountis T. & Vlahos N.,

University of Thessaly Publications, 195-208 (in Greek).

R.718) Voglis N. & Kalapotharakos C.: 2006, "The role of order and chaos in dense gravitational systems (D.G.S.)", in

"Order and Chaos", Vol. 9, Proceedings of the 18th

Summer School – Panhellenic Conference ‘Non linear

Science and Complexity’, eds. Bountis T. & Vlahos N., University of Thessaly Publications, 135-148 (in

Greek).

Ch. Skokos 31/07/20 28

R.719) Bountis T. : 2006, "Stability of motion: From Lyapunov to the dynamics of N-degree of freedom Hamiltonian

systems", in "Order and Chaos", Vol. 9, Proceedings of the 18th

Summer School – Panhellenic Conference ‘Non

linear Science and Complexity’, eds. Bountis T. & Vlahos N., University of Thessaly Publications, 17-59.

R.720) Gontikakis C., Efthymiopoulos C. & Anastasiadis A. : 2006, "Regular and chaotic dynamics in 3D reconnecting

current sheets", MNRAS, 368, 293-304.

R.721) Sideris I. V.: 2006, "Measure of orbital stickiness and chaos strength", Phys. Rev. E, 73, 066217.

R.722) Antonopoulos Ch. & Bountis T. : 2006, "Stability of simple periodic orbits and chaos in a Fermi-Pasta-Ulam

lattice", Phys. Rev. E, 73, 056206.

R.723) Manos T. & Athanassoula E.: 2005, "Detecting chaotic and ordered motion in barred galaxies", in ‘SF2A-

2005: Semaine de l’ Astrophysique Française’, eds. Casoli F., Contini T., Hameury J.M. & Pagani L., EDP-

Sciences, Conference Series, 631-632.

R.724) Wu X. & Huang T. : 2005, "Several diagnostic indexes for orbital chaos", Progress in Astronomy, 23, 4, 318-

330 (in Chinese).

R.725) Sándor Z., Süli Á & Érdi B. : 2005, "Stability of (exo)planetary systems", in ‘Plasma-and Astrophysics: from

laboratory to outer space’ British-Romanian-Hungarian N+N+N Workshop for Young Researchers, eds. Ballai

I., Forgács-Dajka E, Marcu A. & Petrovay K., Astron. Dept. of the Eötvös Univ., PADEU, 15, 211-219.

R.726) Howard J. E.: 2005, "Discrete Verial theorem", Cel. Mech. Dyn. Astron., 92, 219-241.

R.727) Kalapotharakos C. & Voglis N.: 2005, "Global dynamics in self-consistent models of elliptical galaxies", Cel.


R.728) Sideris I. V.: 2005, "Characterization of Chaos: A New, Fast, and Effective Measure", in ‘Nonlinear Dynamics

in Astronomy and Physics: In Memory of Henry E. Kandrup’, Annals of the New York Academy of Sciences,

Vol. 1045, 79-92.

R.729) Kalapotharakos C. : 2005, "Order and Chaos in self consistent models of elliptical galaxies", Ph.D Thesis,

Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Athens (in Greek).

R.730) Barrio R.: 2005, "Sensitivity tools vs. Poincaré sections", Chaos Solitons & Fractals, 25, 3, 711-726.



R.732) Kalapotharakos C., Voglis N. & Contopoulos G. : 2004, "Chaos and secular evolution of triaxial N-body

galactic models due to an imposed central mass", Astron. Astroph., 428, 905-923.

R.733) Sándor Z., Érdi B., Széll A. & Funk B. : 2004, "The relative Lyapunov indicator: an efficient method of chaos

detection", Cel. Mech. Dyn. Astron., 90, 127-138.

R.734) Manos Th. : 2004, "Regular and chaotic dynamics of multi degrees of freedom Hamiltonian systems", M.Sc.

Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras,

http://master.math.upatras.gr/~thanosm/Master%20Thesis.htm, (in Greek).

R.735) Széll A., Érdi B., Sándor Z. & Steves B. : 2004, "Chaotic and stable behaviour in the Caledonian Symmetric

Four-Body problem", MNRAS, 347, 380-388.

R.736) Széll A. : 2003, "Investigation of the Caledonian Symmetric Four-Body Problem", Ph.D. Thesis, Glasgow

Caledonian University.




R.738) Voglis N., Kalapotharakos C., Stavropoulos I. & Efthymiopoulos C.: 2003, "The level of chaos in N-body

models of elliptical galaxies", in "Lecture Notes in Physics - Galaxies and Chaos", eds. Contopoulos G. &

Voglis N., Springer – Verlag, Berlin, Heidelberg, 117-125.

R.739) Buric N., Rampioni A., Turchetti G. & Vaienti S. : 2003, "Weak chaos and Poincaré recurrences for area

presrving maps", J. Phys. A, 36, L209-L215.

R.740) Vallejo J. C., Aguirre J. & Sanjuan M. A. F. : 2003, "Characterization of the local instability in the Hénon-

Heiles Hamiltonian", Phys. Let. A, 311, 26-38.

R.741) Voglis N., Kalapotharakos C. & Stavropoulos I. : 2002, "Mass components in ordered and in chaotic motion in

galactic N-body models", MNRAS, 337, 619-630.


R.743) Antonopoulos Ch. : 2002, "Singularity analysis and study of the motion of the Hydrogen atom in a van der

Waals Potential", M.Sc. Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras,

http://www.math.upatras.gr/~antonop/downloads/pdf_files/my%20masters%20thesis.pdf, (in Greek).

To paper P.9: Skokos Ch., Patsis P. A. & Athanassoula E.: "Orbital dynamics of three-dimensional bars - I. The

backbone of three-dimensional bars. A fiducial case", 2002, MNRAS, 333, 847-860.

R.744) Gajda G., Gerhard O., Blaña M., Zhu L., Shen J., Saglia R.P. & Bender R.: 2020, "Unravelling stellar

populations in the Andromeda Galaxy", astro-ph.GA/2005.04052.

Ch. Skokos 31/07/20 29

R.745) Neumann J., Fragkoudi F., Pérez I., Gadotti D.A., Falcón-Barroso J., Sánchez-Blázquez P., Bittner A.,

Husemann B., Gómez F.A., Grand R.J.J., Donohoe-Keyes C.E., Kim T., de Lorenzo-Cáceres A., Martig M.,

Méndez-Abreu J., Pakmor R., Seidel M.K. & van de Ven G.: 2020, "Stellar populations across galaxy bars in

the MUSE TIMER project", astro-ph.GA/2003.08946.

R.746) Petersen M., Weinberg M.D. & Katz N.: 2019, "Using Commensurabilities and Orbit Structure to Understand

Barred Galaxy Evolution", astro-ph.GA/1902.05081.

R.747) Parul H.D., Smirnov A.A. & Sotnikova N.Ya.: 2020, "Orbital Ingredients for Cooking X-structures in Edge-on

Galaxies", Astroph. J., 895, 12.

R.748) McGough P.D., Evans N.W. & Sanders J.L.: 2020, "Models of bars − II. Exponential profiles", MNRAS, 493,

2676–2687.

R.749) Collier A.: 2020, "Violent buckling benefits galactic bars", MNRAS, 492, 2241–2249.

R.750) Vallejo J.C. & Sanjuan M.A.F.: 2019, "Chapter 6: A Detailed Example: Galactic Dynamics" in "Predictability

of Chaotic Dynamics. A Finite-time Lyapunov Exponents Approach. Second Edition", 151-188, Springer Series

in Synergetics, Springer-Verlag, Berlin Heidelberg.



R.752) Neumann J., Gadotti D.A., Wisotzki L., Husemann B., Busch G., Combes F., Croom S.M., Davis T.A., Gaspari

M., Krumpe M., Pérez-Torres M.A., Scharwächter J., Smirnova-Pinchukova I., Tremblay G.R. & Urrutia T.:

2019, "The Close AGN Reference Survey (CARS) Comparative analysis of the structural properties of star-

forming and non-star-forming galaxy bars", A&A, 627, A26.

R.753) Petersen M.: 2019, "The Non-linear Dynamics of Barred Galaxy Evolution in LCDM", Ph.D. Thesis, University

of Massachusetts Amherst.



R.755) Méndez-Abreu J., de Lorenzo-Cáceres A., Gadotti D.A., F. Fragkoudi F., van de Ven G., Falcón-Barroso J.,

Leaman R., Pérez I., Querejeta M., Sánchez-Blazquez P.& Seidel M.: 2019, "Inner bars also buckle. The MUSE

TIMER view of the double-barred galaxy NGC 1291", MNRAS, 482, L118-L122.

R.756) Méndez-Abreu J., Costantin L., Aguerri J.A.L., de Lorenzo-Cáceres A. & Corsini E.M.: 2018, "The intrinsic

three-dimensional shape of galactic bars", MNRAS, 479, 4172-4186.



R.758) Li Z.-Y., Shen J., Bureau M., Zhou Y., Du M. & Debattista V.P.: 2018, "Shape of LOSVDs in Barred Disks:

Implications for Future IFU Surveys", Astroph. J., 854, 65.

R.759) Fragkoudi F., Di Matteo P., Haywood M., Gómez A., Combes F., Katz D. & Semelin B.: 2017, "Bars and

boxy/peanut bulges in thin and thick discs. I. Morphology and line-of-sight velocities of a fiducial model", A&A

606, A47.

R.760) Nataf D.M.: 2017, "Was the Milky Way Bulge Formed from the Buckling Disk Instability, Hierarchical

Collapse, Accretion of Clumps, or All of the Above?", PASA, 34, e041.

R.761) Vallejo J.C. & Sanjuan M.A.F.: 2017, "Chapter 4: Predictability" in "Predictability of Chaotic Dynamics. A

Finite-time Lyapunov Exponents Approach", 91-127, Springer Series in Synergetics, Springer-Verlag, Berlin

Heidelberg.


338, 614-620.

R.763) Du M., Shen J., Debattista V.P. & de Lorenzo-Cáceres A.: 2017, "Orthogonal vertical velocity dispersion

distributions produced by bars", Astroph. J., 836, 181.

R.764) Feldmeier-Krause A., Zhu L., Neumayer N., van de Ven G., de Zeeuw P.T. & Schödel R.: 2017, "Triaxial orbit-

based modelling of the Milky Way Nuclear Star Cluster", MNRAS, 466, 4040-4052.

R.765) Abbott C.G., Valluri M., Shen J. & Debattista V.P.: 2017, "On the orbits that generate the X-shape in the Milky

Way bulge", MNRAS, 470, 1526-1541.


A&A, 595, A68.

R.767) Portail M.: 2016, "Structure and Dynamics of the Galactic Bulge and Bar", Ph.D. Thesis, Fakultät für Physik,

Ludwig-Maximilians-Universität, München, Germany.

R.768) Valluri M., Shen J., Abbott C. & Debattista V.P.: 2016, "A unified framework for the orbital structure of bars

and triaxial ellipsoids", Astroph. J., 818, 141.

R.769) Sánchez-Martín P., Romero-Gómez M. & Masdemont J.J.: 2016, "Warp evidences in precessing galactic bar

models", A&A, 588, A76.

R.770) Jung C. & Zotos E. E.: 2016, "Orbital and escape dynamics in barred galaxies – I. The 2D system", MNRAS,

457, 2583-2603.

Ch. Skokos 31/07/20 30


RAA, 16, 26.

R.772) Shen J. & Li Z.-Y.: 2015, "Theoretical Models of the Galactic Bulge", in " Galactic Bulges", eds. Laurikainen

E., Peletier R. & Gadotti D., Astrophysics and Space Science Library, Springer-Verlag, 418, 233-260.

R.773) Li Z.-Y. & Shen J.: 2015, "Mapping the three-dimensional “x-shaped structure” in models of the galactic

bulge", Astroph. J. Lett., 815, L20.


R.775) Sánchez-Martín P.: 2015, "Application of Dynamical System Methods to Galactic Dynamics: from Warps to

Double Bars", Ph.D. Thesis, Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya.

R.776) Portail M., Wegg C. & Gerhard O.: 2015, "Peanuts, brezels and bananas: food for thought on the orbital

structure of the Galactic bulge", MNRAS, 450, L66-L70.


MNRAS, 447, 3797-3811.

R.778) Zotos E.E.: 2014, "Orbit classification of low and high angular momentum stars", Mech. Research Commun>,

62, 102-110.

R.779) Cole D.R., Debattista V.P., Erwin P., Earp S.W.F. & Roškar R.: 2014, "The formation of stellar nuclear discs in

bar-induced gas inflows", MNRAS, 445, 3352-3369.



R.781) Sellwood J.A.: 2014, "Secular Evolution in Disk Galaxies", Rev. Mod. Phys., 86, 1-46.

R.782) Quillen A.C., Minchev I., Sharma S. & Di Matteo P.: 2014, "A vertical resonance heating model for X- or

peanut-shaped galactic bulges", MNRAS, 437, 1284-1307.


1214.

R.784) Sellwood J. A.: 2013, "Dynamics of disks and warps", in " Planets, Stars and Stellar Systems. Volume 5:

Galactic Structure and Stellar Populations ", eds. Oswalt T.D. & Gilmore G., Springer Science.






R.787) Martínez-García E.E. & González-Lópezlira R.A.: 2011, "The relation between dynamics and star formation in

barred galaxies", Astroph. J., 734, 122.

R.788) Deibel A. T., Valluri M. & Merritt D.: 2011, "The orbital structure of triaxial galaxies with figure rotation",

Astroph. J., 728, 128.



New York.

R.790) Efthymiopoulos C.: 2010, "Special features of galactic dynamics: Disc dynamics", Eur. Phys. J. Sp. Top., 186,

91-122.


MNRAS, 394, 1605-1619.

R.792) Wozniak H. & Michel-Dansac L.: 2009, "Formation of young boxy/peanut bulges in ringed barred galaxies",

Astron. Astroph., 494, 11-20.

R.793) Gómez M. R.: 2008, "The formation of spiral arms and rings in barred galaxies", in conference proceedings of

"Semaine de l'Astrophysique Francaise", Grenoble 2007, eds. Bouvier J., Chalabaev A. & Charbonnel C.,

https://arxiv.org/abs/0801.0366.




R.795) Binney J. & Tremaine S.: 2008, "Galactic Dynamics", Second Edition, Princeton Univ. Press.

R.796) Romano-Díaz E., Shlosman I., Heller C. & Hoffman Y.: 2008, "Disk evolution and bar triggering driven by

interactions with dark matter substructure", Astroph. J. Let., 687, L13-L16.

R.797) González-Fernández C., Cabrera-Lavers A., Hammersley P. L. & Garzón F.: 2008, "Metallicity distribution of

red giants in the Inner Galaxy from Near Infrared spectra", Astron. Astroph. 479, 131-140.

R.798) González-Fernández C., Cabrera-Lavers A., Hammerslay P. L. & Garzón F.: 2007, "TCS-CAIN: NIR

Spectrophotometric survey of the inner Milky Way", in "Astronomical Spectroscopy and Virtual Observatory,

Proceedings of the EURO-VO Workshop", eds Guainazzi . M. & Osuna P., Published by the European Space

Ch. Skokos 31/07/20 31

Agency, 33-36

(http://esavo.esac.esa.int/SpectroscopyAndVOWorkshopMarch2007/Proceedings/gonzalezfernandez.pdf).

R.799) Voglis N., Harsoula M. & Contopoulos G.: 2007, "Orbital structure in barred galaxies", MNRAS, 381, 757–

770.

R.800) Ceverino D. & Klypin A.: 2007, "Resonances in barred galaxies", MNRAS, 379, 1155-1168.

R.801) Berentzen I., Shlosman I., Martinez-Valpuestra I. & Heller C. H.: 2007, "Gas feedback on stellar bar

evolution", Astroph. J., 666, 189-200.

R.802) Aronica G. A.: 2006, "The vertical structure of thickened bars in disk galaxies", Ph.D. Thesis, Ruhr-Universität

Bochum.

R.803) Romero-Gómez M.: 2006, "The role of invariant manifolds in the formation of spiral arms and rings in barred

galaxies", Ph.D. Thesis, Universitat Politècnica de Catalunya.

R.804) Martinez-Valpuestra I., Shlosman I. & Heller C.: 2006, "Evolution of stellar bars in live axisymmetric halos:

recurrent buckling and secular growth", Astroph. J.,637, 214-226.


degrees of freedom", Master Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department,


R.806) Martinez-Valpuestra I. & Shlosman I.: 2004, "Why do buckling stellar bars weaken in disk galaxies", Astroph.

J., 613, L29-L32.

R.807) Chung A. & Bureau M.: 2004, "Stellar kinematics of boxy bulges: large-scale bars and inner disks", Astron. J.,

127, 3192-3212.

R.808) Shen J. & Sellwood J. A.: 2004, "The destruction of bars by central mass concentrations", Astroph. J., 604,

614-631.

R.809) Boonyasait V. : 2003, "Structures and dynamics of NGC 3359: Observational and theoretical studies of a

barred spiral galaxy", Ph. D. Thesis, University of Florida.

R.810) Berentzen I.: 2003, "Interactions with gas-rich barred galaxies", Ph.D. Thesis, Mathematisch-

Naturwissenschaftlichen Fakultäten, Georg-August-Universität zu Göttingen

(http://webdoc.sub.gwdg.de/diss/2003/berentzen/berentzen.pdf).

To paper P.10: Skokos Ch., Patsis P. A. & Athanassoula E.: "Orbital dynamics of three-dimensional bars - II.

Investigation of the parameter space", 2002, MNRAS, 333, 861-870.

R.811) Neumann J., Fragkoudi F., Pérez I., Gadotti D.A., Falcón-Barroso J., Sánchez-Blázquez P., Bittner A.,

Husemann B., Gómez F.A., Grand R.J.J., Donohoe-Keyes C.E., Kim T., de Lorenzo-Cáceres A., Martig M.,

Méndez-Abreu J., Pakmor R., Seidel M.K. & van de Ven G.: 2020, "Stellar populations across galaxy bars in

the MUSE TIMER project", astro-ph.GA/2003.08946.





R.814) Neumann J., Gadotti D.A., Wisotzki L., Husemann B., Busch G., Combes F., Croom S.M., Davis T.A., Gaspari

M., Krumpe M., Pérez-Torres M.A., Scharwächter J., Smirnova-Pinchukova I., Tremblay G.R. & Urrutia T.:

2019, "The Close AGN Reference Survey (CARS) Comparative analysis of the structural properties of star-

forming and non-star-forming galaxy bars", A&A, 627, A26.

R.815) Lee Y.H., Ann H.B. & Park M.-G.: 2019, "Bar fraction in Early- and Late-type spirals", Astroph. J., 872, 97.






338, 614-620.




Way bulge", MNRAS, 470, 1526-1541.



R.822) Sánchez-Martín P., Romero-Gómez M. & Masdemont J.J.: 2016, "Warp evidences in precessing galactic bar

models", A&A, 588, A76.


RAA, 16, 26.

Ch. Skokos 31/07/20 32


R.825) Kim T., Sheth K., Gadotti D.A. et al., 2015, "The mass profile and shape of bars in the Spitzer survey of stellar

structure in galaxies (S4G): search for an age indicator for bars", Astroph. J, 799, 99.


62, 102-110.



R.828) Wang Y., Mao S., Long R.J. & Shen J.: 2013, "A Schwarzschild model of the Galactic bar with initial density

from N-body simulations", MNRAS, 435, 3437-3443.

R.829) Saha K. & Naab T.: 2013, "Spinning dark matter haloes promote bar formation", MNRAS, 434, 1287-1299.







Astroph. J., 728, 128.



New York.


MNRAS, 394, 1605-1619.




R.836) Wozniak H. & Michel-Dansac L. : 2007, "Chemodynamical models of barred galaxies", in "CRAL-2006.

Chemodynamics: From first stars to local galaxies ", eds. Emsellem E, Wozniak H., Massacrier G, Gonzalez J.-

F., Devriendt J & Champavert N., EAS Publ. Series, 24, 51-56.


Bochum.

R.838) Fujii T., Deguchi S., Ita Y., Izumiura H., Kameya O., Miyazaki A. & Nakada Y. : 2006, "SiO Maser survey of

the inner bar of the galactic bulge", Publ. Astron. Soc. Japan, 58(3), 529-561.

R.839) Michel-Dansac L. & Wozniak H.: 2006, "The length of stellar bars in SB galaxies and N-body simulations",








J., 613, L29-L32.


127, 3192-3212.

R.844) Shen J. & Sellwood J. A.: 2004, "The destruction of bars by central mass concentrations", Astroph. J., 604,

614-631.






R.847) Moiseev A. V.: 2002, "Morphology and kinematics of stars and gas in barred galaxies", Ph.D. Thesis, Special

Astrophysical Observatory, Russian Academy of Sciences, http://www.sao.ru/hq/moisav/moisav/diplom.ps.gz,

(in Russian).

To paper P.11: Patsis P. A., Athanassoula E., Grosbøl P. & Skokos Ch.: "Edge-on boxy profiles in non-barred

disc galaxies" 2002, MNRAS, 335, 1049-1053.



Ch. Skokos 31/07/20 33


Way bulge", MNRAS, 470, 1526-1541.

R.850) Erwin P. & Debattista V.P.: 2017, "The frequency and stellar-mass dependence of boxy/peanut-shaped bulges

in barred galaxies", MNRAS, 468, 2058-2080.

R.851) Laurikainen E. & Salo H.: 2017, "Barlenses and X-shape features compared: different manifestations of

Boxy/Peanut bulges", A&A, 598, A10.



R.853) Ciambur B.C. & Grahm: 2016, "Quantifying the (X/Peanut)-Shaped Structure in Edge-on Disc Galaxies:

Length, Strength, and Nested Peanuts", MNRAS, 459, 1276-1292.



R.855) Yoshino A. & Yamauchi C.: 2015, "Box/peanut and bar structures in edge-on and face-on nearby galaxies in

the Sloan Digital Sky Survey – I. Catalogue", MNRAS, 446, 3749-3767.

R.856) Costantin L.: 2014, "Forma intrinseca e struttura dinamica degli sferoidi delle galassie lenticolari", Tesi di

laurea, Dipartimento di Fisica e Astronomia 'G. Galilei', Università degli studu di Padova.

R.857) Gardner E., Debattista V.P., Robin A.C., Vásquez S. & Zoccali M.: 2014, "N-body simulation insights into the

X-shaped bulge of the Milky Way: Kinematics and distance to the Galactic Centre", MNRAS, 438, 3275-3290.

R.858) Rodionov S. A. & Sotnikiva N. Y.: 2013, "Bending instability in galactic discs. Advocacy of the linear theory",

MNRAS, 434, 2373-2379.

R.859) Taani A., Naso L., Wei Y., Zhang C. & Zhao Y.: 2012, "Modeling the spatial distribution of neutron stars in the

Galaxy", Astroph. Space Sci., 341, 601.




R.861) Shlosman I.: 2011, "Cosmological evolution of galaxies", in "Proceedings of the XXIII Canary Islands Winter

School of Astrophysics on ‘Secular Evolution of Galaxies’", eds. Falcon-Barroso J. & Knapen J.H., Cambridge

University Press, 23, 555-638.

R.862) KhoperskovA., Bizyaev D., Tiurina N. & Butenko M.: 2010, "Numerical modelling of the vertical structure and

dark halo parameters in disc galaxies", Astron. Nachr., 331, 731-745.

R.863) Freeman K. C.: 2007, "Galactic bulges: overview" in "Formation and Evolution of Galaxy Bulges, Proceedings

IAU Symposium No. 245", eds. Bureau M., Athanassoula E. & Barbuy B., Cambridge Univ. Press, 3, 3-10.


Bochum.

R.865) Sotnikiva N. Y. & Rodionov S. A.: 2006, "Estimating the dark halo mass from the relative thickness of stellar

disks”, Astron. Lett., 32(10), 649-660.



R.867) Tyurina N. V., Khoperskov A. V. & Bizyaev D.: 2006, "Bending instability in galaxies: the stellar disk

thickness and the mass of spheroidal component", in "Astrophysical Disks: Collective and Stochastic

Phenomena", eds. Fridmann A. M., Marov M. Ya & Kovalenko I. G., ASSL series, Springer, 291-306.

R.868) Debattista V. P., Carollo C. M., Mayer L. & Moore B.: 2005, "The kinematic signature of face-on peanut-

shaped bulges", Astroph. J., 628, 678-694.

R.869) Hunter C.: 2005, "Chaos in Orbits Due to Disk Crossings ", in ‘Nonlinear Dynamics in Astronomy and Physics:

In Memory of Henry E. Kandrup’, Annals of the New York Academy of Sciences, Vol. 1045, 120-138.

R.870) Sotnikiva N. Y. & Rodionov S. A.: 2005, "Bending instability of stellar disks: The stabilizing effect of a

compact bulge", Astron. Lett., 31(1), 15-29.

R.871) Martinez-Valpuestra I. & Shlosman I.: 2005, "Secular and dynamical evolution of galactic bars", in "Evolution

of Starbursts", eds. Hüttenmeister S., Manthey E., Bomans D. & Weis K., AIP Conference Proceedings, Vol.

738, 189-195.

R.872) Hunt L.K. : 2004, "Building Galaxies: From low-metallicity compact dwarfs to active galactic nuclei", Ph.D.

Thesis, Wiskunde en Natuurwetenschappen, Rijkuniversiteit Groningen,

(http://dissertations.ub.rug.nl/faculties/science/2004/l.k.hunt/).

R.873) Kormendy J. & Kennicutt R. C. Jr.: 2004, "Secular evolution and the formation of pseudobulges in disk

galaxies" Annual Review of Astronomy and Astrophysics, Vol. 42, 603-683.

R.874) Hunt L.K. & Malkan M.A.: 2004, "Circumnuclear structure and black hole fueling: HST/NICMOS imaging of

250 active and normal galaxies", Astrop. J., 616, 707-729.


J., 613, L29-L32.

Ch. Skokos 31/07/20 34

R.876) Khoperskov A. V.: 2004, "Barred galaxies", http://www.astronet.ru:8100/db/msg/1190069/sample.html (in

russian).

R.877) Lütticke R., Pohlen M. & Dettmar R.-J.: 2004, "Box- and peanut-shaped bulges III. A new class of bulges:

Thick Boxy Bulges", Astron. Astroph., 417, 527-539.

R.878) Pohlen M., Balcells M., Lütticke R. & Dettmar R.-J.: 2003, "Evidence for a large stellar bar in the low surface

brightness galaxy UGC 7321", Astron. Astroph., 409, 485-490.

R.879) Sotnikiva N. Y. & Rodionov S. A.: 2003, "Mechanisms of the vertical secular heating of a stellar disk", Astron.

Lett., 29(5), 321-335.

To paper P.12: Patsis P. A., Skokos Ch. & Athanassoula E.: "Orbital dynamics of three-dimensional bars - III.

Boxy/Peanut edge-on profiles" 2002, MNRAS, 337, 578-596.



R.881) Fragkoudi F., Grand R.J.J., Pakmor R., Blázquez-Calero G., Gargiulo I., Gomez F., Marinacci F., Monachesi A.,

Ness M.K., Perez I., Tissera P. & White S.D.M.: 2020, "Chemodynamics of barred galaxies in cosmological

simulations: On theMilky Way’s quiescent merger history andin-situbulge", MNRAS, 494, 5936–5960.

R.882) Łokas E.L.: 2019, "Anatomy of a buckling galactic bar", A&A, 629, A52.

R.883) Zoccali M.: 2019, "The Stellar Population, 3D structure, and kinematics of the Galactic bulge", Boletín de la

Asociación Argentina de Astronomía, 61, 137-144.

R.884) Parker M.C. & Jeynes C.: 2019, "Maximum Entropy (Most Likely) Double Helical and Double Logarithmic

Spiral Trajectories in Space-Time", Sci. Rep., 9, 10779.

R.885) Fragkoudi F., Katz D., Trick W., White S.D.M., Di Matteo P., Sormani M.C., Khoperskov S., Haywood M.,

Hallé A. & Gómez A.: 2019, "On the ridges, undulations, and streams in Gaia DR2: linking the topography of

phase space to the orbital structure of an N-body bar", MNRAS, 488, 3324-3339.



R.887) Davis B.L., Graham A.W. & Combes F.: 2019, "A Consistent Set of Empirical Scaling Relations for Spiral

Galaxies: the (vmax, MDM){(σ0, MBH, φ) Relations", Astroph. J., 877, 64.

R.888) Smirnov A.A. & Sotnikova N.Y.: 2019, " Is the late buckling stage inevitable in the bar life?", MNRAS, 485,

1900-1905.

R.889) Łokas E.L.: 2019, "Buckling instability in tidally induced galactic bars", A&A, 624, A37.

R.890) Collier A.: 2019, "The Role of Angular Momentum in the Interplay Between Disk Galaxies and Their Host Dark

Matter Halos: Corollaries for the Hubble Fork Diagram", Ph.D. Thesis, University of Kentucky. USA.

R.891) Zoccali M., Valenti E. & Gonzalez O.A.: 2018, "Weighing the two stellar components of the Galactic bulge",

A&A, 618, A147.

R.892) Méndez-Abreu J., de Lorenzo-Cáceres A., Gadotti D.A., F. Fragkoudi F., van de Ven G., Falcón-Barroso J.,

Leaman R., Pérez I., Querejeta M., Sánchez-Blazquez P.& Seidel M.: 2019, "Inner bars also buckle. The MUSE

TIMER view of the double-barred galaxy NGC 1291", MNRAS, 482, L118-L122.

R.893) Smirnov A.A. & Sotnikova N.Y.: 2018, "What determines the flatness of X-shaped structures in edge-on

galaxies?", MNRAS, 481, 4058-4076.

R.894) Kunder A., Valenti E., Dall’Ora M., Pietrukowic P.,Sneden C., Giuseppe Bono G., Braga V.F., Ferraro I.,

Fiorentino G., Iannicola G., Marconi M., Martínez-Vázquez C.E., Monelli M., Musella I., Ripepi V., Salaris M.,

Stetson P.B.: 2018, "Impact of Distance Determinations on Galactic Structure. II. Old Tracers", Space Sci.

Rev., 214, 90.





R.897) Saha K., Alister W. Graham A.W. & Rodríguez-Herranz I.: 2018, "Building the Peanut: Simulations and

Observations of Peanut-shaped Structures and Ansae in Face-on Disk Galaxies", Astroph. J., 852, 133.

R.898) López-Corredoira M.: 2018, "Absence of an X-shaped Structure in the Milky Way Bulge Using Mira Variable

Stars", Astroph. J., 836, 218.

R.899) Collier A., Shlosman I. & Heller C.: 2018, "What makes the family of barred disc galaxies so rich: damping

stellar bars in spinning haloes", MNRAS, 476, 1331-1344.

R.900) Salo H. & Laurikainen E.: 2017, "Boxy/peanut/X-shape bulges: steep inner rotation curve leads to barlens face-

on morphology",Astroph. J., 835, 252.

R.901) Savchenko S.S., Sotnikova N.Ya., Mosenkov A.V., Reshetnikov V.P. & Bizyaev D.V.: 2017, "Measuring the X-

shaped structures in edge-on galaxies", MNRAS, 471, 3261-3272.

Ch. Skokos 31/07/20 35

R.902) Zoccali M., Vasquez S., Gonzalez O.A., Valenti E., Rojas-Arriagada, A., Minniti J., Rejkuba M., Minniti D.,

McWilliam A., Babusiaux C., Hill V. & Renzini A.: 2017, "The GIRAFFE Inner Bulge Survey (GIBS) III.

Metallicity distributions and kinematics of 26 Galactic bulge fields", A&A, 599, A12.



R.904) Erwin Abbott C.G., Valluri M., Shen J. & Debattista V.P.: 2017, "On the orbits that generate the X-shape in the

Milky Way bulge", MNRAS, 470, 1526-1541.

R.905) P. & Debattista V.P.: 2017, "The frequency and stellar-mass dependence of boxy/peanut-shaped bulges in

barred galaxies", MNRAS, 468, 2058-2080.

R.906) Zoccali E. & Valenti E.: 2016, "The 3D structure of the Galactic bulge", PASA, 33, e025.



R.908) Díaz-García S.: 2016, "Signatures of secular evolution in disk galaxies", Ph.D. Thesis, Astronomy Research

Unit, University of Oulu, Finland.

R.909) Ciambur B.C. & Grahm: 2016, "Quantifying the (X/Peanut)-Shaped Structure in Edge-on Disc Galaxies:

Length, Strength, and Nested Peanuts", MNRAS, 459, 1276-1292.



R.911) Shen J. & Li Z.-Y.: 2015, "Theoretical Models of the Galactic Bulge", in " Galactic Bulges", eds. Laurikainen

E., Peletier R. & Gadotti D., Astrophysics and Space Science Library, Springer-Verlag, 418, 233-260.

R.912) Li Z.-Y. & Shen J.: 2015, "Mapping the three-dimensional “x-shaped structure” in models of the galactic

bulge", Astroph. J. Lett., 815, L20.

R.913) Laurikainen E. & Salo H.: 2015, "Observed properties of boxy/peanut/barlens bulges", in " Galactic Bulges",

eds. Laurikainen E., Peletier R. & Gadotti D., Astrophysics and Space Science Library, Springer-Verlag, 418,

77-106.

R.914) Qin Y., Shen J., Li Z.-Y., Mao S., Smith M.C., Rich R.M., Lunder A. & Liu C.: 2015, "Kinematics of the X-

shaped Milky Way bulge: expectations from a self-consistent N-body model", Astroph. J., 808, 75.



R.916) Yoshino A. & Yamauchi C.: 2015, "Box/peanut and bar structures in edge-on and face-on nearby galaxies in

the Sloan Digital Sky Survey – I. Catalogue", MNRAS, 446, 3749-3767.

R.917) Sellwood J.A.: 2014, "Secular Evolution in Disk Galaxies", Rev. Mod. Phys., 86, 1-46.

R.918) Long S., Shlosman I. & Heller C.: 2014, "Secular damping of stellar bars in spinning dark matter halos",

Astroph. J. Lett., 783, L18.

R.919) Gardner E., Debattista V.P., Robin A.C., Vásquez S. & Zoccali M.: 2014, "N-body simulation insights into the

X-shaped bulge of the Milky Way: Kinematics and distance to the Galactic Centre", MNRAS, 438, 3275-3290.

R.920) Quillen A.C., Minchev I., Sharma S. & Di Matteo P.: 2014, "A vertical resonance heating model for X- or

peanut-shaped galactic bulges", MNRAS, 437, 1284-1307.

R.921) Vásquez S., Zoccali M., Hill V., Renzini A., González O.A., Gardner E., Debattista V.P., Robin A.C., Rejkuba

M., Baffico M., Monelli M., Motta V. & Minniti D.: 2013, "3D kinematics through the X-shaped Milky Way

bulge", A&A, 555, A91.

R.922) Rodionov S. A. & Sotnikiva N. Y.: 2013, "Bending instability in galactic discs. Advocacy of the linear theory",

MNRAS, 434, 2373-2379.

R.923) Saha K. & Naab T.: 2013, "Spinning dark matter haloes promote bar formation", MNRAS, 434, 1287-1299.

R.924) Sellwood J. A.: 2013, "Dynamics of disks and warps", in " Planets, Stars and Stellar Systems. Volume 5:

Galactic Structure and Stellar Populations ", eds. Oswalt T.D. & Gilmore G., Springer Science.

R.925) Erwin P. & Debattista V.P.: 2013, "Peanuts at an angle: detecting and measuring the three-dimensional

structure of bars in moderately inclined galaxies", MNRAS, 431, 3060-3086.

R.926) Gonzalez O.A., Rejkuba M., Zoccali M., Valent E., Minniti D. & Tobar R.: 2013, " Reddening and metallicity

maps of the Milky Way bulge from VVV and 2MASS III. The first global photometric metallicity map of the

Galactic bulge", Astron. Astroph., 552, A110.




R.928) Li Z.-Y. & Shen J.: 2012, "The vertical X-shaped structure in the Milky Way: evidence from a simple boxy

bulge model", Astroph. J. Let., 757, L7.



Ch. Skokos 31/07/20 36

R.930) Saito R.K., Zoccali M.,McWilliam A., Minniti D., Gonzalez O.A. & Hill V.: 2011, "Mapping the X-shaped

Milky Way bulge", Astron. J., 142, 76.

R.931) Gonzalez O.A., Rejkuba M., Zoccali M., Hill V., Battaglia G., Babusiaux C., Minniti D., Barbuy B., Alves-Brito

A., Renzini A., Gomez A., & Ortolani S.: 2011, "Alpha element abundances and gradients in the Milky Way

bulgefrom FLAMES-GIRAFFE spectra of 650 K giants", Astron. Astroph., 530, A54.

R.932) Harsoula M., Kalapotharakos C. & Contopoulos G.: 2011, "Asymptotic orbits in barred spiral galaxies",

MNRAS, 411, 1111-1126.


Astroph. J., 728, 128.



New York.

R.935) McWilliam A. & Zoccali M.: 2010, "Two red clumps and the X-shaped Milky way bulge", Astroph. J, 724,

1491-1502.

R.936) Efthymiopoulos C.: 2010, "Special features of galactic dynamics: Disc dynamics", Eur. Phys. J. Sp. Top., 186,

91-122.

R.937) McWilliam A., Fulbright J. & Rich R. M.: 2010, "Chemical composition of the Galactic bulge in Baade’s

window" in "Chemical Abundances in the Universe: Connecting First Stars to Planets, Proceedings IAU

Symposium No. 265", eds. Cunha K., Spite M. & Barbuy B., 279-284.


MNRAS, 394, 1605-1619.

R.939) Wozniak H. & Michel-Dansac L.: 2009, "Formation of young boxy/peanut bulges in ringed barred galaxies",


R.940) Dubinski J., Berentzen I. & Shlosman I.: 2009, "Anatomy of the bar instability in cuspy dark matter halos",

Astroph. J., 697, 293-310.




R.942) Ciotti L. & Marinacci F.: 2008, "Exact density-potential pairs from complex shifted axisymmetric systems",

MNRAS, 387, 1117-1125.

R.943) Rattenbury N. J., Mao S., Sumi T. & Smith M. C. : 2007, "Modeling the galactic bar using OGLE-II red clump

giant stars", MNRAS, 378, 1064-1078.

R.944) Berentzen I., Shlosman I., Martinez-Valpuestra I. & Heller C. H.: 2007, "Gas feedback on stellar bar

evolution", Astroph. J., 666, 189-200.


Bochum.



R.947) Michel-Dansac L. & Wozniak H.: 2006, "The length of stellar bars in SB galaxies and N-body simulations",







R.950) Jourdeuil E.: 2005, "N-corps évolutif pour la modélisation photométrique et dynamique des galaxies de type

précoce", Ph.D. Thesis, Univ. Claude Bernard – Lyon 1 (in French).

R.951) Debattista V. P., Carollo C. M., Mayer L. & Moore B.: 2005, "The kinematic signature of face-on peanut-

shaped bulges", Astroph. J., 628, 678-694.

R.952) Martinez-Valpuestra I. & Shlosman I.: 2005, "Secular and dynamical evolution of galactic bars", in "Evolution

of Starbursts", eds. Hüttenmeister S., Manthey E., Bomans D. & Weis K., AIP Conference Proceedings, Vol.

738, 189-195.


J., 613, L29-L32.


127, 3192-3212.

R.955) Lütticke R., Pohlen M. & Dettmar R.-J.: 2004, "Box- and peanut-shaped bulges III. A new class of bulges:

Thick Boxy Bulges", Astron. Astroph., 417, 527-539.

Ch. Skokos 31/07/20 37

R.956) Pohlen M., Balcells M., Lütticke R. & Dettmar R.-J.: 2003, "Evidence for a large stellar bar in the low surface

brightness galaxy UGC 7321", Astron. Astroph., 409, 485-490.




To paper P.13: Polymilis C., Servizi G., Skokos Ch., Turchetti G. & Vrahatis M. N. : 2003, "Topological degree

theory and local analysis of area preserving maps" Chaos, 13, 1, 94-104.

R.958) Pontin D. I., Candelaresi S., Russell A. J. B. & Hornig G.: 2016, "Braided magnetic fields: equilibria,

relaxation and heating", Plasma Phys. Control. Fusion, 58, 054008.



R.960) Yeates A.R., Russell A.J.B. & Hornig G.: 2015, "Physical role of topological constraints in localized magnetic

relaxation", Proc. R. Soc. A, 471, 20150012.

R.961) Wilmot-Smith A.L., Pontin D.I., Yeates A.R. & Hornig G.: 2011, "Heating of braided coronal loops", Astron.

Astroph., 536, A67.

R.962) Yeates A.R. & Hornig G.: 2011, "A generalized flux function for three-dimensional magnetic reconnection",

Phys. Plasmas, 18, 102118.

R.963) Yeates A.R. & Hornig G.: 2011, "Dynamical constraints from field line topology in magnetic flux tubes", J.

Phys. A: Math. Theor., 44, 265501.

R.964) Yeates A.R., Hornig G.& Wilmot-Smith A. L.: 2010, "Topological Constraints on Magnetic Relaxation", Phys.

Rev. Let., 105, 085005.

R.965) Campos J. & Ortega R.: 2008, "Location of fixed points and periodic solutions in the plane", Disc. Cont. Dyn.

Syst. B, 9, 517-523.

R.966) Dorelli J.C., Bhattacharjee A. & Raeder J.: 2007, "Separator reconnection at Earth’s dayside magnetopause

under generic northward interplanetary magnetic field conditions", J. Geophysical Research, 112, A02202.

R.967) Dorelli J.C., Bhattacharjee A. & Raeder J.: 2006, "Tracking magnetic nulls in a simulated magnetosphere", in

"Numerical modelling of space plasma flows", eds. Pogorelov N. V. & Zank G. P., ASP Conf. Series, 359, 131-

136.

R.968) Lunedei E.: 2006, "Ricorrenze di Poincaré in sistemi dinamici a bassa dimensionalità", Ph.D. Thesis,

Dipartimento di Fisica, Univ. degli studi di Bologna (in Italian).

R.969) Kouptsov K. L. : 2004, "Interval propagation method for finding trajectories of chaotic maps", J. Phys. A, 37,

6491-6506.

To paper P.14: Patsis P. A., Skokos Ch. & Athanassoula E.: "Orbital dynamics of three-dimensional bars - IV.

Boxy isophotes in face-on views", 2003, MNRAS, 342, 69-78.

R.970) López-Corredoira M., Lee Y.-W., Garzón & Lim D.: 2019, "Distribution of red clump stars does not support

the X-shaped Galactic bulge", A&A, 627, A3.





R.973) Méndez-Abreu J., Costantin L., Aguerri J.A.L., de Lorenzo-Cáceres A. & Corsini E.M.: 2018, "The intrinsic

three-dimensional shape of galactic bars", MNRAS, 479, 4172-4186.





R.976) López-Corredoira M.: 2018, "Absence of an X-shaped Structure in the Milky Way Bulge Using Mira Variable

Stars", Astroph. J., 836, 218.





R.979) Sánchez-Martín P.: 2015, "Application of Dynamical System Methods to Galactic Dynamics: from Warps to

Double Bars", Ph.D. Thesis, Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya.

R.980) Romero-Gómez M., Sánchez-Martín P. & Masdemont J.J.: 2014, "Com les varietats invariants formen espirals i

anells en galàxies barrades", Butlletí de la Societat Catalana de Matemàtiques, 29, 51-75.

Ch. Skokos 31/07/20 38

R.981) Li Z.-Y. & Shen J.: 2012, "The vertical X-shaped structure in the Milky Way: evidence from a simple boxy

bulge model", Astroph. J. Let., 757, L7.








New York.

R.985) Maciejewski W. & Small E. E.: 2010, "Orbital support of fast and slow inner bars in double barred galaxies",

Astroph. J., 719, 622.


MNRAS, 394, 1605-1619.




R.988) Gadotti D. A.: 2008, "Image Decomposition of Barred Galaxies and AGN Hosts", MNRAS, 384, 420-439.


Bochum.



R.991) Chakrabarty D.: 2004, "Patterns in the outer parts of galactic disks", MNRAS, 352, 427-439.


127, 3192-3212.






To paper P.15: Skokos Ch., Antonopoulos Ch., Bountis T. C. & Vrahatis M. N. : 2003, "How does the Smaller

Alignment Index (SALI) distinguish order from chaos?", Prog. Theor. Phys. Supp., 150, 439-443.




MNRAS, 492, 4398–4408.







R.1000) Vozikis C., Kleidis K. & Papaioannou S.: 2018, "The power spectrum indicator: A new, efficient method for

the early detection of chaos", nlin.CD/1808.00223.

R.1001) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2018, "The Smaller Alignment Index (SALI) applied

in a study of stellar orbits in barred galaxies potential models using the LP-VIcode", New Astr., 60, 48-60.

R.1002) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2017, "Using the SALI Method to Distinguish

Chaotic and Regular Orbits in Barred Galaxies with the LP-VIcode Program", Prog. Phys., 13, 161-165.





R.1005) Sanders J.L. & Evans N.W.: 2015, "Self-consistent triaxial models", MNRAS, 454, 299-314.

R.1006) Benitez P., Losada J. C., Benito R. M., Borondo F.: 2015, "Using the small alignment index chaos indicator to

characterize the vibrational dynamics of a molecular system: LiNC-LiCN", Phys. Rev. E, 92, 042918.


Astron. Nachr., 335, 877-885.

Ch. Skokos 31/07/20 39




R.1009) Manos T. & Athanassoula E.: 2011, "Regular and chaotic orbits in barred galaxies - I. Applying the

SALI/GALI method to explore their distribution inseveral models", MNRAS, 415, 629-642.



R.1011) Christodoulidi H.: 2009, "Dynamics of low dimensional tori and chaos in many degrees of freedom

Hamiltonian systems", Ph.D Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras

(in Greek).



Verlag, 115-122.







galaxies with dark matter haloes", Astrph. J., 666, 165-180.




R.1017) de Assis L. P. G., Helayël-Neto J. A., Haas F. & Nogueira A. L. M. A. : 2006, "On the Integrability and Chaos

of an N=2 Maxwell-Chern-Simons-Higgs Mechanical Model", Fifth International Conference on Mathematical

Methods in Physics – IC2006, Proceedings of Science, PoS(IC2006)059, http://pos.sissa.it/cgi-

bin/reader/conf.cgi?confid=31.

R.1018) de Assis L. P. G. : 2005, "Caos e integrabilidade em teorias com supersimetria", Ph.D Thesis, Centro

Brasileiro de Pesquisas Físicas-CBPF, Rio de Janeiro (in Portuguese)

(http://mesonpi.cat.cbpf.br/cbpfindex/publication_pdfs/TesisDocM.2006_03_03_10_39_38.pdf).


330 (in Chinese).

R.1020) Kalapotharakos C. : 2005, "Order and Chaos in self consistent models of elliptical galaxies", Ph. D. Thesis,

Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Athens (in Greek).




To paper P.16: Patsis P. A., Skokos Ch. & Athanassoula E. : 2003, "On the 3D dynamics and morphology of inner

rings", MNRAS, 346, 1031-1040.

R.1022) Abdeen S., Kennefick D, Kennefick J., Miller R., Shields D.W., Monson E.B. & Davis B.L.: 2020,

"Determining the co-rotation radii of spiral galaxies using spiral arm pitch angle measurements at multiple

wavelengths", astro-ph.GA/2002.02307.

R.1023) Garma-Oehmichen L., Cano-Díaz M., Hernández-Toledo H., Aquino-Ortíz E., Valenzuela O., Aguerri J.A.L.,

Sánchez S.F. & Merrifield M.: 2020, "SDSS-IV MaNGA: Bar pattern speed estimates with the Tremaine-

Weinberg method and their error sources", MNRAS, 491, 3655–3671.



R.1025) Sierra A.D.,Seigar M.S., Treuthardt T. & Puerari I.: 2015: "Determination of resonance locations in barred

spiral galaxies using multiband photometry", MNRAS, 450, 1799-1811.

R.1026) Piñol-Ferrer N.: 2013, "Rearrangement of gas in disc galaxies", Ph.D. Thesis, Department of Astronomy,

Stockholm University.






Ch. Skokos 31/07/20 40



New York.


MNRAS, 394, 1605-1619.

R.1031) Gadotti D. A.: 2009, "Barred Galaxies: an Observer's Perspective", in " Chaos in Astronomy", Astrophysics

and Space Science Proceedings, eds. Contopoulos G. & Patsis P. A., Springer-Verlag, 159-172.




R.1033) Binney J. & Tremaine S.: 2008, "Galactic Dynamics", Second Edition, Princeton Univ. Press.

R.1034) Lin L-H., Yuan C. & Buta R.: 2008, "Hydrodynamical simulations of the barred spiral galaxy NGC 6782",

Astroph. J., 684, 1048-1061.

R.1035) Rautiainen P., Salo H. & Lautikainen E.: 2008, "Model-based pattern speed estimates for 38 barred galaxies",

MNRAS, 388,1803-1818.

R.1036) Buta R. J., Corwin H. G. Jr, & Odewahn S. C.: 2007, "The de Vaucouleures atlas of galaxies", Cambridge

University Press.

R.1037) Jeong H., Bureau M., Yi S. K., Krajnović D. & Davies R. L.: 2007, "Star formation and figure rotation in the

early-type galaxy NGC2974", MNRAS, 376, 1021-1032.

R.1038) Byrd G. G., Freeman T. & Buta R. J. : 2006, "The inner resonance ring of NGC 3081. II. Star formation, bar

strength, disk surface mass density, and mass-to-light ratio", Astron. J., 131, 1377-1393.

R.1039) Griv E. : 2005, "Origin of the Cartwheel galaxy: Disk instability?", Asroph. Sp. Sc., 299, 371-385.



To paper P.17: Skokos Ch., Antonopoulos Ch., Bountis T. C. & Vrahatis M. N. : 2004, "Detecting order and

chaos in Hamiltonian systems by the SALI method", J. Phys. A, 37, 6269-6284.



R.1042) González-Férez R., Iñarrea M., Pablo Salas J. & Schmelcher P.: 2020, "Nonlinear dynamics and energy

transfer for two rotating dipoles in an external field: A complete dimensional analysis", Commun. Nonlin. Sci.

Num. Simul., 82, 105049.




MNRAS, 492, 4398–4408.



R.1046) Zotos E.E.& Jung C.: 2020, "A three-dimensional dynamical model for double-barred galaxies, escape

dynamics and the role of the NHIMs", Comm. Nonlin.Sci. Num. Simul., 80, 104989.





R.1049) Turchetti G. & Panichi F.: 2019, "Fast Indicators for Orbital Stability: A Survey on Lyapunov and

Reversibility Errors" [Online First], IntechOpen, DOI: 10.5772/intechopen.88085. Available from:




Romanian).





R.1053) Ani C. J.: 2019, "Chaotic behavior of charged particles in electromagnetic fields", M.Sc. Thesis, Department

of Mathematics and Applied Mathematics, University of Cape Town, South Africa.



Ch. Skokos 31/07/20 41

R.1055) Zotos E.E., Dubeibe F.L. & González G.A.: 2018, "Orbit classification in an equal-mass non-spinning binary

black hole pseudo-Newtonian system", MNRAS, 477, 5388-5405.



R.1057) Zotos E.E.& Jung C.: 2018, "Correlating the escape dynamics and the role of the normally hyperbolic

invariant manifolds in a binary system of dwarf spheroidal galaxies", Int. J. Non-Lin. Mech., 99, 182-203.

R.1058) Zotos E.E.& Jung C.: 2018, "Orbital and escape dynamics in barred galaxies - III. The 3D system: Correlations

between the basins of escape and the NHIMs", MNRAS, 473, 806-825.







R.1062) Wontchui T.T., Effa J.Y., Fouda H.P.E. & Fouda J.S.A.E.: 2017, "Dynamical behavior of Peter-De-Jong map

using the modified 0-1 and 3ST tests for chaos", ARCTBDS, 7, 1-21.

R.1063) Wontchui T.T., Effa J.Y., Fouda H.P.E., Ujjwal S.R. & Ramaswamy R.: 2017, "Coupled Lorenz oscillators

near the Hopf boundary: Multistability, intermingled basins, and quasiriddling", Phys. Rev. E, 96, 062203.



R.1065) Zotos E.E.: 2017, "Elucidating the escape dynamics of the four hill potential", Nonlinear Dyn., 89, 135-151.



R.1067) Sahni N., Sarma T.P. & Saha L.M.: 2016, "Dynamic Lyapunov Indicator (DLI): A Perfect indicator for

Evolutionary System", J. Appl. Comput. Sci. Math., 10, 40-45.


3512.

R.1069) Ma D.-Z., Long Z.-C. & Zhu Y.: 2016, "Application of Indicators for Chaos in Chaotic Circuit Systems", Int.





R.1071) Jung C. & Zotos E. E.: 2016, "Orbital and escape dynamics in barred galaxies – I. The 3D system: exploring

the role of the normally hyperbolic invariant manifolds", MNRAS, 463, 3965-3988.

R.1072) Indiati I., Saefan J. & Marwoto P.: 2016, "Numerical Approach of Hamilton Equations on Double Pendulum

Motion with Axial Forcing Constraint", J. Phys. Conf. Ser., 739, 012066.



R.1074) Barrio R.: 2016, "Theory and Applications of the Orthogonal Fast Lyapunov Indicator (OFLI and OFLI2)

Methods", Lect. Notes Phys., 915, 55-92.


Chaos, 25, 1550116.

R.1076) Saha L.M. & Saxena M.: 2016, "Indicators of regularity and chaos", J Tech. Adv. Sci. Res., 2, 01-08.






Mech. Dyn. Astr., 123, 45-61.






R.1082) Vergel A., Benito R.M., Losada J.C. & Borondo F.: 2014, "Geometrodynamical Analysis to Characterize the

Dynamics and Stability of a Molecular System through the Boundary of the Hill’s Region", Appl. Math., 5,

2630-2642.


Astron. Nachr., 335, 877-885.

Ch. Skokos 31/07/20 42

R.1084) Cejnar P. & Stránský P.: 2014, "Understanding Chaos via Nuclei", in "Proceedings of the 1st Latin American

School of Physics ‘Marcos Moshinsky’ - Nonlinear Dynamics in Hamiltonian Systems", AIP Conference

Proceedings, 1575, 23-49.

R.1085) Zotos E.E.: 2014, "A Hamiltonian system of three degrees of freedom with eight channels of escape: The Great

Escape", Nonlinear Dyn., 76, 1301-1326.





R.1088) Vergel A., Benito R.M. & Losada J.C.: 2014, "Geometrical analysis of the LiCN vibrational dynamics: A

stability geometrical indicator", Phys. Rev. E, 89, 022901.

R.1089) Manchein C., Beims M.W. & Rost J.M.: 2014, "Characterizing weak chaos in nonintegrable Hamiltonian

systems: The fundamental role of stickiness and initial conditions", Physica A, 400, 186-193.

R.1090) Carpintero D.D., Muzzio J.C. & Navone H.D.: 2014, "Models of cuspy triaxial stellar systems. III: The effect

of velocity anisotropy on chaoticity", MNRAS, 438, 2871-2881.




R.1093) Zotos E.E.: 2013, "Exploring the origin, the nature, and the dynamical behavior of distant stars in galaxy

models", Nonlinear Dyn., 74, 831-847.

R.1094) Zotos E.E. & Carpintero D.D.: 2013, "Orbit classification in the meridional plane of a disk galaxy model with

a spherical nucleus", Celest. Mech. Dyn. Astr., 116, 417-438.

R.1095) Caranicolas N.D. & Zotos E.E.: 2013, "Unveiling the influence of dark matter in axially symmetric galaxies",

PASA, 30, e049.

R.1096) Benítez P., Losada J.C., Benito R.M. & Benito F.: 2013, "Analysis of the full vibrational dynamics of the

LiNC/LiCN molecular system", ", in "Progress and challenges in dynamical systems", Springer Proceedings in

Mathematics & Statistics, eds. Ibáñez et al., Springer-Verlag, 54, 77-88.




VCH.

R.1099) Deleanu D.N.: 2012, "Strong and weak points of recent indicators of chaos and order used in dynamical

systems studies", in "ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences

and Engineering", e-Book Full Papers, 9138-9151.

R.1100) Saha L.M. & Sahni N.: 2012, "Chaotic evaluations in a modified coupled logistic type predator-prey model",

App. Math. Sci., 6(139), 6927-6942.









R.1105) Zachilas L. & Psarianos I.N.: 2012, "Examining the chaotic behavior in dynamical systems by means of the 0-1

test", J. Appl. Math., 681296.



307.





MNRAS, 414, 659-667.

R.1109) Barrio R., Blesa F. & Serrano S.: 2010, "Bifurcations and chaos in Hamiltonian systems", Int. J. Bifurc. Chaos,

20(5), 1293-1319.


987-991.

Ch. Skokos 31/07/20 43

R.1111) Stránský P., Hruška P. & Cejnar P.: 2009, "Quantum chaos in the nuclear collective model: Classical-quantum

correspondence", Phys. Rev. E, 79, 046202.

R.1112) Barrio R., Blesa F. & Serrano S.: 2009, "Qualitative analysis of the Rössler equations: Bifurcations of limit

cycles and chaotic attractors", Physica D, 238, 1087-1100.

R.1113) Gottwald G. A. & Melbourne I.: 2009, "On the Implementation of the 0–1 Test for Chaos", SIAM J. Appl.

Dynam. Syst., 8, 129-145.

R.1114) Litak G., Syta A. & Wiercigroch M.: 2009, "Identification of chaos in a cutting process by the 0–1 test", Chaos

Solitons & Fractals, 40, 2095-2101.



Verlag, 115-122.

R.1116) Yuasa M. & Saha L. M.: 2008, "Indicators of chaos", Bulletin of the Research Institute for Science and

Technology, Kinki Univ., Osaca, Japan, 20, 1-20, http://www.rist.kindai.ac.jp/no.20/yuasa.pdf.




R.1118) Losada J. C., Benito R. M. & Borondo F.: 2008, "Frequency map analysis of the 3D vibrational dynamics of

the LiCN/LiNC molecular system", Eur. Phys. J. Sp. Top., 165, 183-193.

R.1119) Safi Z. S., Losada J. C., Benito R. M. & Borondo F.: 2008, "Frequency analysis of the molecular vibrations of

HC ", J. Chem. Phys., 129, 164316.

R.1120) Villac B. F. : 2008, "Using FLI maps for preliminary spacecraft trajectory design in multi-body

environments", Cel. Mech. Dyn. Astron., 102, 29-48.

R.1121) Carpintero D. D.: 2008, "Finding how many isolating integrals of motion an orbit obeys", MNRAS, 388,

1293-1304.



R.1123) Paleari S. & Penati T.: 2008, "Numerical Methods and Results in the FPU Problem", Lect. Notes Phys., 728,

239–282.

R.1124) Gemmeke J. F., Portegies Zwart S. F. & Kruip C. J. H.: 2008, "Detecting irregular orbits in gravitational N-

body simulations", Com. Nonlin. Sci. Num. Simul. 13, 1157-1168.

R.1125) Zhu J.-F., Wu X. & Ma D.-Z.: 2007, "A Survey of Newtonian Core-Shell Systems with Pseudo High Order

Symplectic Integrator and Fast Lyapunov Indicator", Chin. J. Astron. Astrophys., 7(4), 601-610.

R.1126) Stránský P., Cejnar P. & Macek M.: 2007, "Order and chaos in the Geometric Collective Model", Phys. Atom.

Nucl., 70(9), 1572-1576.

R.1127) Macek M., Stránský P., Cejnar P., Heinze S., Jolie J. & Dobeš J.: 2007, "Classical and quantum properties of

the semiregular arc inside the Casten triangle", Phys. Rev. C, 75, 064318.


galaxies with dark matter haloes", Astrph. J., 666, 165-180.

R.1129) Manos T. & Athanassoula E.: 2006, "Chaos and the dynamical evolution of barred galaxies", in "The

Fabulous Destiny of Galaxies: Bridging Past and Present. Proceedings of the Vth Marseille International

Cosmology conference", eds. LeBrun V., Mazure A., Arnouts S. & Burgarella D., Paris: Frontier Group, ISBN

2914601190, 541-542.

R.1130) Wu X. Huang T.-Y. & Zhang H.: 2006, "Lyapunov indices with two nearby trajectories in a curved

spacetime", Phys. Rev. D, 74, 083001.

R.1131) Barrio R.: 2006, "Painting chaos: A gallery of sensitivity plots of classical problems", Int. J. Bifurc. Chaos,

16(10), 2777-2798.

R.1132) Barrio R.: 2006, "Painting chaos: OFLI2TT", in "Actas de las VIII Jornadas de Mecánica Celeste", Monografías

de la Real Academia de Ciencias de Zaragoza, 28, 85-94,

http://www.unizar.es/acz/05Publicaciones/Monografias/MonografiasPublicadas/Monografia28/IndMonogr28.ht

m

R.1133) Robutel P & Gabern F.: 2006, "The resonant structure of Jupiter’s Trojan asteroids I: Long term stability and

diffusion", MNRAS, 372, 1463-1482.




R.1135) de Assis L. P. G., Helayël-Neto J. A., Haas F. & Nogueira A. L. M. A. : 2006, "On the Integrability and Chaos

of an N=2 Maxwell-Chern-Simons-Higgs Mechanical Model", Fifth International Conference on Mathematical

Methods in Physics – IC2006, Proceedings of Science, PoS(IC2006)059, http://pos.sissa.it/cgi-

bin/reader/conf.cgi?confid=31.

Ch. Skokos 31/07/20 44

R.1136) Manos T. & Athanassoula E.: 2005, "Detecting chaotic and ordered motion in barred galaxies", in ‘SF2A-

2005: Semaine de l’ Astrophysique Française’, eds. Casoli F., Contini T., Hameury J.M. & Pagani L., EDP-

Sciences, Conference Series, 631-632.

R.1137) de Assis L. P. G. : 2005, "Caos e integrabilidade em teorias com supersimetria", Ph.D Thesis, Centro

Brasileiro de Pesquisas Físicas-CBPF, Rio de Janeiro (in Portuguese)

(http://mesonpi.cat.cbpf.br/cbpfindex/publication_pdfs/TesisDocM.2006_03_03_10_39_38.pdf).


330 (in Chinese).

R.1139) Gemmeke J. F. : "Detecting chaotic orbits in N-body simulations", M.Sc. Thesis, Faculteit der

Natuurwetenschappen, Wiskunde en Informatica, Universiteit van Amsterdam,

(http://staff.science.uva.nl/~spz/act/students/JortGemmeke.pdf).

R.1140) Barrio R.: 2005, "Sensitivity tools vs. Poincaré sections", Chaos Solitons & Fractals, 25, 3, 711-726.




To paper P.18: Panagopoulos P., Bountis T. C. & Skokos Ch. : 2004, "Existence and stability of localized

oscillations in 1-dimensional lattices with soft spring and hard spring potentials", J. Vibration & Acoustics, 126,

520-527.

R.1142) Zholmaganbetova A.: 2019, "The Dynamics of Hamiltonian Lattices With Application to Hollomon

Oscillators". M.Sc. Thesis, Nazarbayev University, Kazakhstan.



R.1144) Romeo F. & Rega G.: 2015, "Periodic and localized solutions in chains of oscillators with softening or

hardening cubic nonlinearity", Meccanica, 50, 721-730.

R.1145) Romeo F. & Rega G.: 2013, "On localized solutions of chains of oscillators with cubic nonlinearity", XXI

Congresso Associazione Italiana di Meccanica Toerica e Applicata, CDROM proceedings,

http://www.aimetatorino2013.it/cdrom/cdrom_pdf_fullpaper/001560012101.pdf .

R.1146) Lazarides N. & Tsironis G. P.: 2012, "Intrinsic localization in nonlinear and superconducting metamaterials",

in "Metamaterials VII", eds. Boardman A. D.; Johnson N. P.; Ziolkowski R.W., Proc. of SPIE, Vol. 8423,

84231K.



R.1148) Koukouloyannis V. & Kourakis I.: 2009, "Discrete breathers in hexagonal dusty plasma lattices", Phys. Rev.

E, 80, 026402.



Verlag, 115-122.




R.1151) Lazarides N., Tsironis G. P. & Eleftheriou M.: 2008, "Dissipative discrete breathers in rf SQUID

metamaterials", Nonlin. Phenom. Complex Syst., 11, 250-258.

R.1152) Koukouloyannis V. & Kourakis I.: 2007, "Existence of multisite intrinsic localized modes in one-dimensional

Debye crystals", Phys. Rev. E, 76, 016402.







To paper P.19: Skokos Ch., Parsopoulos K. E., Patsis P. A. & Vrahatis M. N. : 2005, "Particle Swarm

Optimization: An efficient method for tracing periodic orbits in 3D galactic potentials", MNRAS, 359, 251-260.

R.1155) Matsushita H., Kurokawa H. & Kousaka T.: 2019, "Saddle-node bifurcation parameter detection strategy with

nested-layer particle swarm optimization", Chaos Solit. Fractals, 119, 126-134.

R.1156) Michimura Y., Komori K., Nishizawa A., Takeda H., Nagano K., Enomoto Y., Hayama K., Somiya K. &

Masaki Ando M.: 2018, "Particle swarm optimization of the sensitivity of a cryogenic gravitational wave

detector", Phys. Rev. D, 97, 122003.

Ch. Skokos 31/07/20 45

R.1157) Matsushita H., Tomimura Y., Kurokawa H. & Kousaka T.: 2017, "Period Doubling Bifurcation Point

Detection Strategy with Nested Layer Particle Swarm Optimization", Int. J. Bifurc. Chaos, 27, 1750101.

R.1158) Islam S.R., Arifuzzaman Md. & Parvez N.: 2016, "An Alternative Model of Aggregate Production Planning

for Cement Company: Solving with Particle Swarm Optimization", Proceedings of 14th Asian Business

Research Conference, 30 - 31 December, 2016, BIAM Foundation, Dhaka, Bangladesh, ISBN: 978-1-925488-

26-5.



R.1160) Prasad J.: 2014, "Revisiting Cosmological parameter estimation", https://arxiv.org/abs/1412.3298.

R.1161) Ruiz A.N., Cora S.A, Padilla N.D., Domínguez M.J., Tecce T.E., Orsi Á, Yaryura Y.C., Lambas D.G.,

Gargiulo I.D. & Arancibia A.M.M.: 2015, "Calibration of semi-analytic models of galaxy formation using

particle swarm optimization", Astroph. J, 801, 139.

R.1162) Wang S.-C. & Yeh M.-F.: 2014, "A modified particle swarm optimization for aggregate production planning",

Exp. Syst. Appl., 41, 3069-3077.

R.1163) Shirvany Y.: 2013, "Non-invasive EEG Functional Neuroimaging for Localizing Epileptic Brain Activity",

Ph.D Thesis, Department of Signals and Systems, Chalmers University of Technology, Göteborg, Sweden.

R.1164) Taylor S.R., Gair J.R. & Lentati L.: 2012, "Using swarm intelligence to accelerate pulsar timing analysis",


R.1165) Prasad J. & Souradeep T.: 2012, "Cosmological parameter estimation using Particle Swarm Optimization

(PSO)", Phys. Rev. D, 85, 123008.

R.1166) Gao F., Qi Y. & Xiao J.: 2010, "A novel Particle Swarm Optimization with special boundaries restriction

strategy", in "Proceedings of the 2nd International Conference on Information Science and Engineering,

ICISE2010", 5689056, 916-919.

R.1167) Shi Z. & Zhou C-L.: 2007, "Fissure Extraction and Analysis of Image of Tongue", Comp. Tech, Devel., 17,

245-249 (in Chinese).

R.1168) Elson E. C., Bassett B. A., van der Heyden K. & Vilakazi Z. Z.: 2007, "A new approach to the optimal target

selection problem", Astron. Astroph., 464, 1167-1175.

R.1169) Gao F. & Tong H.: 2006, "A novel optimal PID tuning and on-line tuning based on particle swarm

optimization", in "Proceedings of the International Conference on Sensing, Computing and Automation", Watam

Press, 182-186.

R.1170) Gao F. & Tong H.: 2006, "Particle swarm optimization: An efficient method for tracking periodic orbits and

controlling chaos", Dynamics of Continuous Discrete and Impulsive Systems – Ser. B – Applications &

Algorithms, Part 2 Suppl. S., 13, 780-784.

R.1171) Gao F. & Tong H.: 2006, "Control a novel discrete chaotic system through Particle Swarm Optimization", in

"Proceedings of the 6th World Congress on Intelligent Control and Automation", IEEE, 3330-3334.

R.1172) Grosan C., Abraham A. & Chis M.: 2006, "Swarm intelligence in data mining", in "Swarm intelligence in data

mining", Studies in computational Intelligence (SCI), eds. Abraham A., Grosan C. & Ramos V., Springer-

Verlag, 34, 1-20.

To paper P.20: Bountis T. C. & Skokos Ch. : 2006, "Application of the SALI chaos detection method to

accelerator mappings", Nucl. Instr. Meth. Phys. Res. – Sect. A, 561, 173-179.

R.1173) Bäcker A. & Meiss J.D.: 2020, "Elliptic Bubbles in Moser's 4D Quadratic Map: the Quadfurcation", SIAM J.

Appl. Dyn. Syst., 19, 442–479.




Astron. Nachr., 335, 877-885.







307.

R.1179) Tziotzios T.: 2009, "Computation of chaoticity indices for systems with many degrees of freedom", M.Sc.

Thesis, Department of Physics, Faculty of Sciences, University of Thessanoniki,

http://users.auth.gr/~voyatzis/SeniorThesis/mTziotzios.pdf (in Greek).

Ch. Skokos 31/07/20 46







To paper P.21: Bountis T. & Skokos Ch. : 2006, "Space charges can significantly affect the dynamics of

accelerator maps", Phys. Let. A, 358, 126-133.

R.1182) Sansottera M., Giorgilli A. & Carletti T.: 2016, "High-order control for symplectic maps", Phys. D, 316, 1-

15.

R.1183) Kulabukhova N.:2013, "Space charge dominated envelope dynamics using GPUs", in "Proceedings of the 4th

International Particle Accelerator Conference IPAC13", 924-926.



Verlag, 115-122.

R.1185) Barber D. P.: 2008, "Stern-Gerlach forces and spin splitters", in "CP1008, Polarized antiproton beams – How?

An international workshop", eds. Chattopadhyay S., Barber D. P., Buttimore N., Court G.& Steffens E.,

American Inst. Physics, 56-66.




To paper P.22: Antonopoulos Ch., Bountis T. C. & Skokos Ch. : 2006, "Chaotic dynamics of N-degree of freedom

Hamiltonian systems", Int. J. Bifurc. Chaos, 16(6), 1777-1793.





R.1189) Martínez-Farías & Panayotaros P.: 2018, "Time evolution of localized solutions in 1-dimensional

inhomogeneous FPU models", Eur. Phys. J. Sp. Top., 227, 575-589.

R.1190) Martínez-Farías & Panayotaros P.: 2016, "Breather solutions for inhomogeneous FPU models using Birkhoff

normal forms", Physica D, 335, 10-25.

R.1191) Manchein C., Beims M.W. & Rost J.M.: 2014, "Characterizing weak chaos in nonintegrable Hamiltonian

systems: The fundamental role of stickiness and initial conditions", Physica A, 400, 186-193.

R.1192) Chechin G.M. & Ryabov D.S.: 2012, "Stability of nonlinear normal modes in the Fermi-Pasta-Ulam β chain

in the thermodynamic limit", Phys. Rev. E, 85, 056601.

R.1193) Panayotaros P.: 2012, "Instabilities of breathers in a finite NLS lattice", Physica D, 241, 847-856.



R.1195) Panayotaros P.: 2010, "Continuation of normal modes in finite NLS lattices", Phys. Let. A, 374, 3912-3919.



(in Greek).

R.1197) Bhat H. S. & Osting B.: 2009, "The zone boundary mode in periodic nonlinear electrical lattices", Physica D,

238, 1216-1228.



Verlag, 115-122.




R.1200) Goto S-i.: 2007, "From an unstable periodic orbit to the Lyapunov exponent and a macroscopic variable in a

Hamiltonian lattice", Prog. Theor. Phys., 118(1), 25-34.

R.1201) Altmann E. G.: 2007, "Intermittent chaos in Hamiltonian dynamical systems", Ph.D. Thesis, Max-Planck-

Institut für Physik Komplexer Systeme, Dresden.

To paper P.23: Skokos Ch., Bountis T. C. & Antonopoulos Ch. : 2007, "Geometrical properties of local dynamics

in Hamiltonian systems: the Generalized Alignment Index (GALI) method", Physica D, 231, 30-54.

Ch. Skokos 31/07/20 47









R.1206) Vallejo J.C. & Sanjuan M.A.F.: 2019, "Chapter 3: Dynamical Regimes and Timescales" in "Predictability of

Chaotic Dynamics. A Finite-time Lyapunov Exponents Approach. Second Edition", 71-99, Springer Series in

Synergetics, Springer-Verlag, Berlin Heidelberg.












R.1212) Chaves-Velasquez L., Patsis P.A., Puerari I., Moreno E. & B. Pichardo B.: 2019, "Dynamics of thick, open

spirals in PERLAS potentials", Astroph. J., 871, 79.





R.1215) Djondiné P. & Barbot J.-P.: 2018, "Nonlinear dynamic of the multicellular chopper", Int. J. Nonlinear Anal.

Appl., 9, 21-31.

R.1216) Miranda Filho L.H., Amato M.A. & Rocha Filho T.M.: 2018, "Lyapunov Exponent and Criticality in the

Hamiltonian Mean Field Model",.J. Stat. Mech.: Theory Exper., 033204.

R.1217) Datseris G.: 2018, "DynamicalSystems.jl: A Julia software library for chaos and nonlinear dynamics", J. Open

Source Soft., 3, 598.






1728-1738.



R.1222) Djondiné P. & Barbot J.-P.: 2017, "Dynamical Properties and Chaos of the Multicellular Converter

Associated With a Nonlinear Load", Int. J. Adv. Res. Electrical, Electronics and Instrumentation Engineering, 6,

8014-8022.

R.1223) Candelaresi S., Pontin D.I. & Hornig G.: 2017, "Quantifying the tangling of trajectories using the topological

entropy", Chaos, 27, 093102.

R.1224) Chaves-Velasquez L., Puerari I. & Patsis P.A.: 2017, "Stellar orbital structures in slowly rotating bar

models", Rev. Mex. AA (Serie de Conferencias), 49, 86–86.

R.1225) Conti G. & Badin G.: 2017, "Hyperbolic Covariant Coherent Structures in Two Dimensional Flows", Fluids,

2, 50.



R.1227) Vallejo J.C. & Sanjuan M.A.F.: 2017, "Chapter 3: Dynamical Regimes and Time Scales" in "Predictability of

Chaotic Dynamics. A Finite-time Lyapunov Exponents Approach", 61-89, Springer Series in Synergetics,





Ch. Skokos 31/07/20 48

R.1229) Xiao S.-F. & Chang C.-C.: 2017, "Fundamental aspects of curvature indices for characterizing dynamical

systems", Nonlin. Dyn., 90, 65-81.

R.1230) Liu L., Wu X. & Huang G.: 2017, "Geodesic motions of test particles in a relativistic core–shell spacetime",

Gen. Relativ. Gravit., 49, 28.



R.1232) Deleanu D.: 2016, "From order to chaos with Standard Map and Orthogonal Fast Lyapunov Indicator", in

"Scientific Proceedings XXIV International Scientific-Technical Conference ‘trans & MOTAUTO 16’"

(http://trans-motauto.com/1-2016.html), 43-46.


3512.

R.1234) Lopez-Pina A., Losada J.C., Benito R.M. & Borondo F.: 2016, "Frequency analysis of the laser driven

nonlinear dynamics of HCN", J. Chme. Phys., 145, 244309.


A&A, 595, A68.

R.1236) Pikovsky A. & Politi A.: 2016, "Lyapunov Exponents: A Tool to Explore Complex Dynamic", Cambridge

University Press, Cambridge, UK.



R.1238) Ma D.-Z., Long Z.-C. & Zhu Y.: 2016, "Application of Indicators for Chaos in Chaotic Circuit Systems", Int.







R.1241) Deleanu D.: 2016, "Some numerical experiments on the application of relative Lyapunov indicator to

symplectic and dissipative mappings", Constanta Maritime University Annals, 25, 167-174.

R.1242) Machado R.E.G. & Manos T.: 2016, "Chaotic motion and the evolution of morphological components in a

time-dependent model of a barred galaxy within a dark matter halo", MNRAS, 458, 3578-3591.






Chaos, 25, 1550116.

R.1246) Manos T. & Robnik M.: 2015, " Studies of dynamical localization in a finite-dimensional model of the

quantum kicked rotator", Nonlin. Phenom. Complex Syst., 18, 335-355.





R.1249) Djondiné P., Barbot J.-P. & Ghanes M.: 2015, "Nonlinear phenomena study in serial multicell chopper",

IFAC-PapersOnLine, 48-18,105-110.



R.1251) Zotos E.E.: 2016, "Escape dynamics in a binary system of interacting galaxies", New Astron., 42, 10-23.


451, 1637-1648.


MNRAS, 447, 3797-3811.


Mech. Dyn. Astr., 123, 45-61.






Ch. Skokos 31/07/20 49

R.1257) Chérif F.: 2015, "Some qualitative properties of Lyapunov exponents for almost periodic Hamiltonian

systems", Differ. Equ. Dyn. Syst., 23, 57-67.




Astron. Nachr., 335, 877-885.

R.1260) Djondiné P., Ghanes M., Barbot J.-P. & Essimbi B.: 2014, "Dynamical Behaviors of Multicellular Chopper",

J. Control Sci. Eng., 2, 35-42.

R.1261) Deleanu D.N.: 2014, "Fast Detection of Chaotic or Regular Behavior of Double Pendulum System:

Application of the Fast Norm Vector Indicator Method", J. Phys. Sci. Appl., 4, 291-303.








R.1266) Huang G. & Cao Z.: 2014, "Numerical analysis and circuit realization of the modified LÜ chaotic system",

Syst. Sci. & Control Eng., 2, 74-79.




R.1269) Deleanu D.N.: 2014, "Fast detection of chaotic or regular behavior of double pendulum system: application of

the fast norm vector indicator method", in "SEECCM III, 2013, 3rd South-East European Conference on

Computational Mechanics", eds. Papadrakakis M., Kojic M. & Tuncer I., 455-469.




R.1271) Leung S.: 2013, "The backward phase flow method for the Eulerian finite time Lyapunov exponent

computations", Chaos, 23, 043132.

R.1272) Vallejo J.C. & Sanjuán M.A.F.: 2013, "Predictability of orbits in coupled systems through finite-time

Lyapunov exponents", New J. Phys., 15, 113064.

R.1273) Huang G. & Zhou Y.: 2013, "Circuit simulation of the modified Lorenz system", J. Inform. Comput. Sci. 10,

4763-4772.

R.1274) Christodoulidi H. & Efthymiopoulos Ch.: 2013, "Low-dimensional q–tori in FPU lattices: dynamics and

localization properties", Physica D, 261, 92.

R.1275) Caranicolas N.D. & Zotos E.E.: 2013, "Unveiling the influence of dark matter in axially symmetric galaxies",

PASA, 30, e049.

R.1276) Benítez P., Losada J.C., Benito R.M. & Benito F.: 2013, "Analysis of the full vibrational dynamics of the

LiNC/LiCN molecular system", ", in "Progress and challenges in dynamical systems", Springer Proceedings in

Mathematics & Statistics, eds. Ibáñez et al., Springer-Verlag, 54, 77-88.

R.1277) Szezech J. D. Jr., Schelin A. B., Caldas I. L., Lopes S. R., Morrison P. J. & Viana R. L.: 2013: "Finite-time

rotation number: a fast indicator for chaotic dynamical structures", Phys. Lett. A, 377, 452-456.

R.1278) Manos T. & Robnik M.: 2013, "Dynamical localization in chaotic systems: spectral statistics and localization

measure in kicked rotator as a paradigm for time-dependent and time-independent systems", Phys. Rev. E, 87,

062905.

R.1279) Waż P. & Bielińska-Waż D.: 2013, "Asymmetry coefficients as indicators of chaos: Hyperchaotic Qi system",

Acta Phys. Pol. A, 123, 647-650.




VCH.

R.1282) Hubaux C., Libert A.-S., Delsate N. & Carletti T.: 2013, "Influence of Earth’s shadowing effects on space

debris stability", Adv. Space Research, 51, 25-38.

R.1283) Zotos E.E.: 2012, "A new dynamical indicator for chaos detection in galactic Hamiltonian systems", Math.

Engin. Sci. Aerospace (MESA), 3, 163-178.



Ch. Skokos 31/07/20 50










R.1289) Zotos E.E.: 2012, "Application of new dynamical spectra of orbits in Hamiltonian systems", Nonlinear Dyn.,

69, 2041-2063.

R.1290) Caranicolas N.D. & Zotos E.E.: 2012, "Investigating the nature of motion in 3D perturbed elliptic oscillators

displaying exact periodic orbits", Nonlinear Dyn., 69, 1795-1805.

R.1291) Voyatzis G., Gkolias I. & Varvoglis H.: 2012, "The dynamics of the elliptic Hill problem: periodic orbits and

stability regions", Cel. Mech. Dyn. Astron., 113, 125-139.

R.1292) Gerlach E. & Haghighipour N.: 2012, "Can GJ 876 host four planets in resonance?", Cel. Mech. Dyn. Astron.,

113, 35-47.

R.1293) Huang G.Q. & Wu X.: 2012, "Analysis of new four-dimensional chaotic circuits with experimental and

numerical methods", Int. J. Bifur. Chaos, 22, 1250042.





R.1296) Zotos E.E.: 2011, "A new dynamical parameter for the study of sticky orbits in a 3D galactic model", Baltic

Astron., 20, 339.



307.



R.1299) Frouard J., Vienne A. & Fouchard M.: 2011, "The long-term dynamics of the Jovian irregular satellites",

Astron. Astroph., 532, A44.





MNRAS, 414, 659-667.





(in Greek).


987-991.

R.1305) Frouard J., Fouchard M. & Vienne A.: 2009, "Comparison of Lyapunov chaos indicators", in "Dynamics of

Celestial Bodies", eds. Varvoglis H. & Knezevic Z., Publications of the Astronomical Observatory of Belgrade,

Special Issue, 121-124.



Verlag, 115-122.




R.1308) Contopoulos G. & Harsoula M.: 2008, "Stickiness in chaos", Int. J. Bifur. Chaos, 18, 2929-2949.




Ch. Skokos 31/07/20 51

R.1310) Frouard J., Fouchard M. & Vienne A.: 2008, "Comparison of fast Lyapunov chaos indicators for celestial

mechanics", in "Proceedings SF2A-2008: Semaine de l’ Astrophysique Française. Scientific Highlights", eds.

Charbonnel C., Combes F. & Samadi R., 121-122 (http://ozone.obspm.fr/~sf2a/proc2008/pages-book.html).


1293-1304.

To paper P.24: Manos T., Skokos Ch., Athanassoula E. & Bountis T.: 2008, "Studying the global dynamics of

conservative dynamical systems using the SALI chaos detection method", Nonlin. Phenom. Complex Syst., 11,

171-176.








Mech. Dyn. Astr., 123, 45-61.


Astron. Nachr., 335, 877-885.

R.1317) Antonopoulos C., Basios V., Demongeot J, Nardone P. & Thomas R.: 2013, "Linear and nonlinear

arabesques: A study of closed chains of negative 2-element circuits", Int. J. Bifurc. Chaos, 23, 1330033.

R.1318) Zotos E.E. & Carpintero D.D.: 2013, "Orbit classification in the meridional plane of a disk galaxy model with

a spherical nucleus", Celest. Mech. Dyn. Astr., 116, 417-438.


VCH.

To paper P.25: Skokos Ch., Bountis T. C. & Antonopoulos Ch. : 2008, "Detecting chaos, determining the

dimensions of tori and predicting slow diffusion in Fermi-Pasta-Ulam lattices by the Generalized Alignment

Index method", Eur. Phys. J. Sp. Top., 165, 5-14.

R.1320) Sklan S. R. & Li B.: 2018, "The hidden role of coupled wave network topology on the dynamics of nonlinear

lattices", physics.class-ph/1803.08360.

R.1321) Hu S., Wu X., Huang G. & Liang E.: 2020, "A novel energy-conserving scheme for eight-dimensional

Hamiltonian problems", Astroph. J., 887, 191.



R.1323) Chaves-Velasquez L., Patsis P.A., Puerari I., Moreno E. & B. Pichardo B.: 2019, "Dynamics of thick, open

spirals in PERLAS potentials", Astroph. J., 871, 79.





R.1326) Machado R.E.G. & Manos T.: 2016, "Chaotic motion and the evolution of morphological components in a

time-dependent model of a barred galaxy within a dark matter halo", MNRAS, 458, 3578-3591.
















Ch. Skokos 31/07/20 52









R.1338) Christodoulidi H. & Efthymiopoulos Ch.: 2013, "Low-dimensional q–tori in FPU lattices: dynamics and

localization properties", Physica D, 261, 92.

R.1339) Waż P. & Bielińska-Waż D.: 2013, "Asymmetry coefficients as indicators of chaos: Hyperchaotic Qi system",

Acta Phys. Pol. A, 123, 647-650.



R.1341) Hennig D., Mulhern C. & Burbanks A.D.: 2013, "From strong chaos via weak chaos to regular behaviour:

Optimal interplay between chaos and order", Physica D, 253, 102-110.












(in Greek).


987-991.








1293-1304.

To paper P.26: Flach S., Krimer D. O. & Skokos Ch.: 2009, "Universal spreading of wave packets in disordered

nonlinear systems", Phys. Rev. Let., 102, 024101 (Erratum: Phys. Rev. Let., 102, 209903).

R.1351) Kumar M., Kundu A., Kulkarni M., Huse D.A. & Dhar A.: 2019, "Transport in a classical disordered

nonlinear system: signatures of many-body localization", cond-mat.stat-mech/1911.03753.

R.1352) Pouyandeh S. & Olyaei H.Z.: 2019, "Quantum transport through a coupled non-linear exciton-phonon

system", cond-mat.mes-hall/1902.05060.

R.1353) Toikka L.A. & AndreanovA.: 2019, "Many-body dynamical localisation of coupled quantum kicked rotors",

cond-mat.mes-hall/1901.09362.

R.1354) Janarek J., Delande D., Cherroret N. & Zakrzewski J.: 2020, "Quantum boomerang effect for interacting

particles", Phys. Rev. A, 102, 0133303.

R.1355) Wang Z., Fu W., Zhang Y. & Zhao H.: 2020, "Wave-Turbulence Origin of the Instability of Anderson

Localization against Many-Body Interactions", Phys. Rev. Lett., 124, 186401.

R.1356) Rivas D. & Molina M.I.: 2020, "Seltrapping in flat band lattices with nonlinear disorder", Sci. Rep., 10, 5229.

R.1357) Lellouch S., Rançon A., De Bièvre S., Delande D. & Garreau J.C.: 2020, "Dynamics of the mean-field-

interacting quantum kicked rotor", Phys. Rev. A, 101, 043624.

R.1358) Gligorić G., Leykam D. & Maluckov A.: 2020, "Influence of different disorder types on Aharonov-Bohm

caging in the diamond chain", Phys. Rev. A, 101, 023839.

R.1359) Charalambous C., García-March M.Á, Muñoz-Gil G., Grzybowski P.R. & Lewenstein M.: 2020, "Control of

anomalous diffusion of a Bose polaron", Quantum, 4, 232.

Ch. Skokos 31/07/20 53

R.1360) Charalambous C.: 2020, "Quantum Brownian Motion in Bose-Einstein Condensates", Ph.D. Thesis,

Universitat Politecnica de Catalunya.

R.1361) Kirichenko E.V. & Stephanovich V.A.: 2019, "The influence of disorder on the exciton spectra in two-

dimensional structures", Phys. Chem. Chem. Phys., 21, 21847.

R.1362) De Roeck W. & Huveneers F.: 2019, "Glassy dynamics in strongly anharmonic chains of oscillators", Compt.

Rendus Phys., 20, 419-428.



R.1364) Sun Z.-Y. & Yu X.: 2019, "Transient diffusion and two-regime localization of discrete breatherlike excitations

in nonlinear Schrödinger lattice with disorder", Phys. Rev. E, 100, 022202.

R.1365) Sun Z.-Y. & Yu X.: 2019, "Transient anomalous diffusion of discrete breather-like states in a disordered

nonlinear optical lattice", OSA Continuum, 2, 2630-2626.

R.1366) Nazarenko S., Soffer A. & Tran M.-B.: 2019, "On the Wave Turbulence Theory for the Nonlinear Schrödinger

Equation with Random Potentials", Entropy, 21, 823.

R.1367) Oztas Z.: 2019, "Spin orbit coupled Bose Einstein condensate in a two dimensional bichromatic optical

lattice", Phys. Lett. A, 383, 504-508.

R.1368) Milovanov A.V. & Iomin A.: 2019, "Subdiffusive Lévy flights in quantum nonlinear Schrödinger lattices with

algebraic power nonlinearity", Phys. Rev. E, 99, 052223.

R.1369) Mardonov Sh., Modugno M., Sherman E.Ya. & Malomed B.A.: 2019, "Rabi-coupling-driven motion of a

soliton in a Bose-Einstein condensate", Phys. Rev. Lett., 99, 013611.

R.1370) Lazarides N. & Tsironis G. P.: 2018, "Flat-Band Engineering with PT Metamaterials: Compact Localized

Flat-Band States", physics.optics/1806.11412.

R.1371) Likhachev V.N. & Vinogradov G.A.: 2018, "Charge Transfer on a Two-Dimensional Lattice with Impurity

Sites", Russ. J. Phys. Chem. B, 12, 1031–1038.

R.1372) Sales M.O., Ranciaro Neto A. & de Moura F.A.B.F.: 2018, "Spin-wave dynamics in nonlinear chains with

spin-lattice interactions", Phys. Rev. E, 98, 062136.

R.1373) Žnidarič M. & Ljubotina M.: 2018, "Interaction instability of localization in quasiperiodic systems",

Proceedings of the National Academy of Sciences of the United States of America (PNAS), 115, 4595-4600.

R.1374) Sharabi Y., Sheinfux H.H., Sagi Y., Eisenstein G. & Segev M: 2018, "Self-Induced Diffusion in Disordered

Nonlinear Photonic Media", Phys. Rev. Lett., 121, 233901.

R.1375) Pereira A.L.S., Lyra M.L., de Moura F.A.B.F., Ranciaro Neto A. & Dias W.S.: 2018, "Nonlinear wave-packet

dynamics resonantly driven by AC and DC fields", Commun. Nonlin. Sci. Numer. Simulat., 64, 89-97.

R.1376) Mardonov S., Konotop V.V., Malomed B.A., Modugno M. & Sherman E.Y.: 2018, "Spin-orbit-coupled soliton

in a random potential", Phys. Rev. A, 98, 023604.

R.1377) Likhachev V.N. & Vinogradov G.A.: 2018, "Integral characteristics of wave packets in the problem of the

evolution of a wave function on a one-dimensional lattice", Theor. Math. Phys., 197, 1615-1525.

R.1378) Gerasymov O.I.: 2018, "Structure and Photonics of discrete meso-scaled anisotropic systems", Monography,

Odesa State Environmental University.

R.1379) Chattaraj T.: 2018, "Numerical Studies on Correlations in Dynamics and Localization of Two Interacting

Particles in Lattices", Ph.D. Thesis, The University of British Columbia, Vancouver, Canada (cond-mat.quant-

gas/1809.09982).

R.1380) Li S. & Li N.: 2018, "Renormalized vibrations and normal energy transport in 1d FPU-like discrete nonlinear

Schrödinger equations", Sci. Rep., 8, 5329.

R.1381) Kim E., Martínez A.J., Phenisee S. E., Kevrekidis P.G., Porter M.A. & Yang J.: 2018, "Direct measurement of

superdiffusive energy transport in disordered granular chains", Nature Commun., 9, 640.

R.1382) Molina M.I.: 2018, "Solitons in a modified discrete nonlinear Schrödinger equation", Sci. Rep., 8, 2186.

R.1383) Zhao X.L., Shi Z.C., Yu C.S. & Yi X.X.: 2017, "Dynamics of the extended Aubry-André-Harper model with

localization transition", https://arxiv.org/abs/1704.02159v1.

R.1384) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model",




R.1386) Donsa S., Hofstätter H., Koch O., Burgdörfer J. & Březinová I.: 2017, "Long-time expansion of a Bose-

Einstein condensate: Observability of Anderson localization", Phys. Rev. A, 96, 043630.

R.1387) Nguyen B.P. & Kim K.: 2017, "Anderson localization and saturable nonlinearity in one-dimensional

disordered lattices", J. Mod. Phys., 64, 1923-1929.

R.1388) Radosavljević A., Gligorić G., Beličev P.P., Maluckov A. & Stepić M.: 2017, " Light propagation in binary

kagome ribbons with evolving disorder", Phys. Rev. E, 96, 012225

Ch. Skokos 31/07/20 54

R.1389) Rozenbaum E. & Galitski V.: 2017, "Dynamical Localization of Coupled Relativistic Kicked Rotors", Phys.

Rev. E, 95, 064303.

R.1390) Saleh M., Conti C. & Biancalana F.: 2017, "Anderson localisation and optical-event horizons in rogue-soliton

generation", Opt. Express, 25, 5457.

R.1391) Sales M.O., Dias W.S., Ranciaro Neto A., Lyra M.L. & de Moura F.A.B.F.: 2017, "Sub-diffusive spreading

and anomalous localization in a 2D Anderson model with off-diagonal nonlinearity ", Solid Stat. Comm., 270,

6-11.

R.1392) Sarkar S., Paul S., Vishwakarma C., Kumar S., Verma G., Sainath M., Rapol U.D. & Santhanam M. S.: 2017,

"Nonexponential Decoherence and Subdiffusion in Atom-Optics Kicked Rotor", Phys. Rev. Lett., 118, 174101.

R.1393) Schlagheck P. & Dujardin J.: 2017, "Coherent backscattering in the Fock space of ultracold bosonic atoms",

Ann. Phys., 529, 1600311.

R.1394) Yu Y., Gao Y. & Tong P.: 2017, "Wave packet dynamics in periodically kicked nonlinear systems", J. Phys. B:

At. Mol. Opt. Phys., 50, 155005.

R.1395) Zhang Z., Kang J. & Li R.: 2017, "Wave Packet Dynamics in Uniform Chain with Various Spatial

Distributions of Nonlinearity", APETC 2017, 1354-1361.

R.1396) Iomin A.: 2017, "Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder",

Comput. Math. Applic., 73, 914-930.

R.1397) Gopalakrishnan S., Ranjibul Islam K. & Knap M.: 2017, "Noise-Induced Subdiffusion in Strongly Localized

Quantum Systems", Phys. Rev. Lett., 119, 046601.

R.1398) Buonsante P., Franzosi R. & Smerzi A.: 2017, "Phase transitions at high energy vindicate negative

microcanonical temperature", Phys. Rev. E, 95, 052135.

R.1399) Milovanov A.V. & Iomin A.: 2017, "Destruction of Anderson localization in quantum nonlinear Schrödinger

lattices", Phys. Rev. E, 95, 042142.

R.1400) Astakhova T.Yu., Kashin V.A. & Vinogradov G.A.: 2017, "Charge Transfer and Anderson Localization in

One-Dimensional Finite-Size Disordered Systems", Russ. J. Phys. Chem., 11, 481-491.

R.1401) Garreau J.C.: 2017, "Quantum simulation of disordered systems with cold atoms", Comptes Rendus Physique,

18, 31-46.

R.1402) Cherroret N.: 2017, "A self-consistent theory of localization in nonlinear random media", J. Phys. Condens.

Matter, 29, 024002.

R.1403) Sarkar S., Paul S., Vishwakarma C., Verma G., Sainath M., Rapol U.D. & Santhanam M. S.: 2016,

"Experimental demonstration of non-exponential decoherence in a chaotic quantum system",

https://arxiv.org/abs/1607.05605v1.

R.1404) Rojas-Rojas S.: 2016,"Estados localizados clásicos y cuánticos en sistemas discretos", Ph.D. Thesis, Facultad

de Ciencias Fásicas y Matemáticas, Universidad de Concepcián, Chile (in Spanish)

R.1405) Zhao W.-L., Gong J., Wang W.-G., Casati G., Liu J. & Fu L.-B.: 2016, "Exponential wave-packet spreading

via self-interaction time modulation", Phys. Rev. A, 94, 053631.

R.1406) Valdes J.P.R. & Wellens T.: 2016, "Localization of wave packets in one-dimensional random potentials",

Phys. Rev. A, 93. 063634.

R.1407) Iomin A.: 2016, "Quantum continuous time random walk in nonlinear Schrödinger equation with disorder",

Chaos Solit. Fract., 93, 64-70.

R.1408) Cardoso W.B., Leão S.A. & Avelar A.T.: 2016, "Anderson localization in the quintic nonlinear Schrödinger

equation", Opt. Quant. Electron, 48, 388.

R.1409) Bai X.-D., Malomed B.A. & Deng F.-G.: 2016, "Unidirectional transport of wave packets through tilted

discrete breathers in nonlinear lattices with asymmetric defects", Phys. Rev. E, 94, 032216.

R.1410) Chattaraj T. & Krems R.V.: 2016, "Effects of long-range hopping and interactions on quantum walks in

ordered and disordered lattices", Phys. Rev. E, 94, 023601.

R.1411) Paul S., Pal H. & Santhanam M.S.: 2016, "Barrier induced chaos in kicked rotor: classical sub-diffusion and

quantum localization", Phys. Rev. E, 93, 060203.



R.1413) Nguyen B.P., Ngo Q.M. & Kim K.: 2016, " Transient Super-ballistic Spreading of Wave Packets with Large

Spreading Exponents in Some Hybrid Ordered-quasiperiodic Lattices", J Korean Phys. Soc., 68, 387-392.

R.1414) Chen L. & Zonca F.: 2016, "Physics of Alfvén waves and energetic particles in burning plasmas", Rev. Mod.

Phys., 88, 015008.

R.1415) Ranciaro Neto A., Sales M.O. & de Moura F.A.B.F.: 2016, "Electronic transport in disordered chains

mediated by interactions with acoustic waves", Solid Stat. Comm., 229, 22-27.

R.1416) Dujardin J, Engl T & Schlagheck P.: 2016, "Breakdown of Anderson localization in the transport of Bose-

Einstein condensates through one-dimensional disordered potentials", Phys. Rev. A, 93, 013612.

Ch. Skokos 31/07/20 55

R.1417) Salasnich L. & Adhikari S.K.: 2015, "Dimensional reduction and localization of a Bose-Einstein condensate in

a quasi-1D bichromatic optical lattice", Acta Phys. Pol. A, 128, 979-982.

R.1418) Tsironis G.P., Lazarides N., Maluckov A. & Hadžievski Lj.: 2015, "Extreme Events in Nonlinear Lattices",

Chapter 3 in "Chaos, Information Processing and Paradoxical Games The Legacy of John S Nicolis", eds.

Nicolis G. & Basios V., World Scientific.

R.1419) Novitsky D.V.: 2015, "Interaction of ultrashort light pulses with nonlinear disordered photonic structures",

Technical Report, National Academy of Sciences of Belarus, Minsk.

R.1420) Sperling T.: 2015, "The Experimental Search for Anderson Localisation of Light in Three Dimensions", Ph.D.

Thesis, Mathematisch-Naturwissenschaftliche Sektion, Fachbereich Physik, Universität Konstanz.

R.1421) Radosavljević A.: 2015, "Light propagation in complex systems of coupled waveguides", Ph.D. Thesis, School

of Electrical Engineering, University of Belgrade, Belgrade, Serbia

R.1422) Mardonov Sh., Modugno M. & Sherman E. Ya.: 2015, "Dynamics of Spin-Orbit Coupled Bose-Einstein

Condensates in a Random Potential", Phys. Rev. Lett., 115, 180402.

R.1423) Leykam D.: 2015, "Wave and spectral singularities in photonic lattices", Ph.D. Thesis, The Australian

National University, Canberra, Australia.

R.1424) Laptyeva T.V., Tikhomirov A.A., Kanakov O.I. & Ivanchenko M.V.: 2015, "Anderson atractors in active

arrays", Sci. Reports, 5, 13263.

R.1425) Silva A.F.G., Lima R.P.A., Chaves Filho V.L., de Moura F.A.B.F. & Lyra M.L. : 2016, "Sensitivity to initial

conditions of the self-trapping transition in C60 buckyballs with relaxing nonlinearity", Commun. Nonlinear Sci.

Simulat., 30, 101-107.

R.1426) Novitsky D.V.: 2015, "Disorder-induced light trapping enhanced by pulse collisions in one-dimensional

nonlinear photonic crystals", Opt. Commun., 353, 56-62.

R.1427) Milovanov A.V. & Iomin A.: 2015, "Topology of Delocalization in the Nonlinear Anderson Model and

Anomalous Diffusion on Finite Clusters", Discont. Nonlin. Complex., 4, 151-162.

R.1428) Khomeriki R., Chotorlishvili L., B. A. Malomed B.A. & Berakdar J.: 2015, "Creation and Amplification of

Electro-Magnon Solitons by Electric Field in Nanostructured Multiferroics", Phys. Rev. B,.91, 041408.

R.1429) dos Santos J.L.L., Nguyen Ba Phi & de Moura F.A.B.F.: 2015, "Electronic transport in disordered chains

with saturable nonlinearity", Physica A, 435, 15-21.

R.1430) Doggen E.V.H.: 2015, "Universal relations in ultracold polarized Fermi gases", Ph.D. thesis, Department of

Applied Physics, Aalto University.

R.1431) Chaves Filho V.L., Lima R.P.A. & Lyra M.L. : 2015, "Interplay between modulational instability and self-

trapping of wavepackets in nonlinear discrete lattices", Chaos, 25, 063101.

R.1432) Bai X.-D. & Xue J.-K.: 2015, "Subdiffusion of Dipolar Gas in One-Dimensional Quasiperiodic Potentials",

Chin. Phs. Lett., 32, 120302.

R.1433) Mulansky M.: 2014, "Optimizing Large-Scale ODE Simulations", https://arxiv.org/abs/1412.0544.

R.1434) Laptyeva T.V., Denisov S.V., Opisov G.V. & Ivanchenko M.V.: 2014, "Localization in active incommensurate

arrays", https://arxiv.org/abs/1412.0533.

R.1435) Martínez A.J., Molina M.I., Turitsyn S.K. & Kivshar Y.S.: 2014, "Nonlinear multi-core waveguiding

structures with balanced gain and loss", https://arxiv.org/abs/1405.3032.

R.1436) Zhao W.-L., Fu L.-B. & Liu J.: 2014, "Nonlinearity effects on the directed momentum current", Phys. Rev. E,

90, 022907.

R.1437) Sales M.O. & de Moura F.A.B.F.: 2014, "Electron–soliton dynamics in chains with cubic nonlinearity", J.

Phys.: Condens. Matter, 26, 415401.

R.1438) Ermann L. & Shepelyansky D.L.: 2014, "Destruction of Anderson localization by nonlinearity in kicked

rotator at different effective dimensions", J. Phys. A, 47, 335101.

R.1439) Doggen E.V.H. & Kinnunen J.J.: 2014, "Quench-induced delocalization", New J. Phys., 16 113051.

R.1440) d'Errico C., Chaudhuri S., Gori L., Kumar A., Lucioni E., Tanzi L., Inguscio M. & Modugno G.: 2014,

"Transport of an interacting Bose gas in 1D disordered lattices", AIP Conf. Proc., 1610, 24-33.

R.1441) Milovanov A.V. & Iomin A.: 2014, "A topological approximation of the nonlinear Anderson model", Phys.

Rev. E, 89, 062921.

R.1442) Cheng Y., Tang G. & Adhikari S.K.: 2014, "Localization of a spin-orbit coupled Bose-Einstein condensate in

a bichromatic optical lattice", Phys. Rev. A, 89, 063602.

R.1443) Novitsky D.V.: 2014, "Pulse propagation in one-dimensional disordered photonic crystals: Interplay of

disorder with instantaneous and relaxing nonlinearities", J. Opt. Soc. Amer. B, 31, 1282-1289.

R.1444) Nguyen B.P. & Kim K.: 2014, "Wave-packet Dynamics in One-dimensional Nonlinear Schrödinger Lattices:

Local vs. Nonlocal Nonlinear Effects", J Korean Phys. Soc., 64, 355-361.

R.1445) Mulansky M.: 2014, "Scaling of Chaos in Strongly Nonlinear Lattices", Chaos, 24, 024401.

R.1446) Lee C., Rai A., Noh C. & Angelakis D.G.: 2014, "Probing the effect of interaction in Anderson localization

using linear photonic lattices", Phys. Rev. A, 89, 023823.

Ch. Skokos 31/07/20 56

R.1447) Fleishon G., Fishman S. & Soffer A.: 2014, "High order perturbation theory for Nonlinear Anderson Model",

Eur. Phys. J. B, 87, 35.

R.1448) Leonetti M., Karbasi S., Mafi A. & Conti C.: 2014, "Observation of Migrating Transverse Anderson

Localizations of Light in Nonlocal Media", Phys. Rev. Lett., 112, 193902.

R.1449) Engl T., Dujardin J., Argüelles A., Schlagheck P., Richter K. & Urbina J.D.: 2014, "Coherent Backscattering

in Fock Space: a Signature of Quantum Many-Body Interference in Interacting Bosonic Systems", Phys. Rev.

Lett., 112, 140403.

R.1450) Basko D.M.: 2014, "Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain

in the regime of homogeneous chaos", Phys. Rev. E, 89, 022921.

R.1451) Albuquerque E.L., Fulco U.L., Freire V.N., Caetano E.W.S., Lyra M.L. & Moura F.A.B.F.: 2014, "DNA-based

nanobiostructured devices: The role of the quasiperiodicity and correlation effects", Phys. Rep., 535, 139-209.

R.1452) Mulansky M.: 2013, "Simulating DNLS models", https://arxiv.org/abs/1304.1608.

R.1453) Folli V., Gallo K. & Conti C.: 2013, "Purely nonlinear disorder-induced localizations and their parametric

amplification", Opt. Lett., 38, 5276-5279.

R.1454) Ermann L. & Shepelyansky D.L.: 2013, "Quantum Gibbs distribution from dynamical thermalization in

classical nonlinear lattices", New J. Phys., 15, 123004.

R.1455) Vermersch B.: 2013, "Dynamique d’un gaz de bosons ultra-froids dans un milieu désordonné: Effets des

interactions sur la localisation et sur la transition d’Anderson", Ph.D Thesis, Université Lille 1.

R.1456) Schwiete G. & Finkel’stein A.M.: 2013, "Kinetics of the disordered Bose gas with collisions", Phys. Rev. A,

88, 053611.

R.1457) Radosavljević A., Gligorić G., Maluckov A., Stepić M. & Milović D.: 2013, "Light propagation management

by disorder and nonlinearity in one-dimensional photonic lattices", J. Opt. Soc. Am. B, 30, 2340-2347.

R.1458) Piraud M., Pezzé L. & Sanchez-Palencia L.: 2013, "Quantum transport of atomic matterwaves in

anisotropictwo-dimensional and three-dimensional disorder", New Jour. Phys., 15, 075007.



R.1460) Zhang J., Zhang Z. & Tong P.: 2013, "Effects of delayed nonlinear response on wave packet dynamics in one-

dimensional generalized Fibonacci chains", Physica B, 421, 18-22.

R.1461) Segev M., Silberberg Y. & Christodoulides D.N.: 2013, "Anderson localization of light", Nature Photonics, 7,

March, 197-204.

R.1462) Naether U., Heinrich M., Lahini Y., Nolte S., Vicencio R.A., Molina M.I. & Szameit A.: 2013, "Self-trapping

threshold in disordered nonlinear photonic lattices", Optics Lett., 38, 1518-1520.

R.1463) Naether U., Rojas-Rojas S., Martínez A.J., Stützer S., Tünnermann A., Nolte S., Molina M.I., Vicencio R.A. &

Szameit A.: 2013, "Enchanced distribution of a wave-packet in lattices with disorder and nonlinearity", Optics

Express, 21, 927-934.

R.1464) Mulansky M. & Pikovsky A.: 2013, "Energy spreading in strongly nonlinear lattices", New J. Phys., 15,

053015.

R.1465) Vermersch B. & Garreau J.C.: 2013, "Spectral description of the dynamics of ultracold interacting bosons in

disordered lattices", New J. Phys., 15, 045030.

R.1466) Jian Y., Zhang A.-X., He C.-X., Qi X.-Y. & Xue J.-K.: 2013, "Dynamics of a nonlocal discrete Gross-

Pitaevskii equation with defects", Phys. Rev. E, 87, 053201.

R.1467) Iomin A.:2013, "Dynamics in Nonlinear Schrödinger Equation with dc bias: From Subdiffusion to Painlevé

Transcendent", Math. Model. Nat. Phenom., 88-99.

R.1468) Xu J., Zhang D.-W., Zhang X.-D. & Xue Z.-Y.: 2013, "Two parameters scaling approach to Anderson

localization of weekly interacting Bose-Einstein condensate", JETP Lett., 97, 239-244.

R.1469) Vermersch B. & Garreau J.C.: 2013, "Decoherence effects in the dynamics of interacting ultracold bosons in

disordered lattices", Eur. Phys. J. Special Top., 217, 109-119.

R.1470) Lucioni E., Tanzi L., D’Errico C., Moratti M., Inguscio M. & Modugno G.: 2013, "Modeling the transport of

interacting matter waves in a disordered system by a nonlinear diffusion equation", Phys. Rev. E, 87, 042922.

R.1471) Hennig D., Mulhern C. & Burbanks A.D.: 2013, "From strong chaos via weak chaos to regular behaviour:

Optimal interplay between chaos and order", Physica D, 253, 102-110.

R.1472) Golshani M., Bahrampour A.R., Langari A. & Szameit A.: 2013, "Transverse localization in nonlinear

photonic lattices with second-order coupling", Phys. Rev. A, 87, 033817.

R.1473) D’Errico C., Moratti M., Lucioni E., Tanzi L., Deissler B, Inguscio M., Modugno G, Plenio M.B. & and

Caruso F.: 2013, "Quantum diffusion with disorder, noise and interaction", New J. Phys., 15, 045007.

R.1474) de Moura F.A.B.F.: 2013, "Numerical evidence of electron–soliton dynamics in Fermi–Pasta–Ulam

disordered chains", Physica D, 253, 66-72.

R.1475) Milovanov A.V.: 2012, "Percolation models of self-organized critical phenomena",


Ch. Skokos 31/07/20 57

R.1476) Mulansky M.: 2012, "Chaotic diffusion in nonlinear Hamiltonian systems", Ph.D Thesis, Mathematisch-

Naturwissenschaftlichen Fakultät, Universität Potsdam.

R.1477) Bai X.-D. & Xue J.-K: 2012, "Discrete breather and its stability in a general discrete nonlinear Schrödinger

equation with disorder", Phys. Rev. E, 86, 066605.

R.1478) Conti C.: 2012, "Solitonization of the Anderson localization", Phys. Rev. A, 86, 061801.

R.1479) Mulansky M. & Pikovsky A.: 2012, "Scaling properties of energy spreading in nonlinear Hamiltonian two-

dimensional lattices", Phys. Rev. E, 86, 056214.

R.1480) Takahashi M., Katsura H., Kohmoto M. & Koma T.: 2012, "Multifractals competing with solitons on

Fibonacci optical lattices", New J. Phys., 14, 113012.

R.1481) Min B., Li T., Rosenkranz M. & Bao W.: 2012, "Subdiffusive spreading of a Bose-Einstein condensate in

random potentials", Phys. Rev. E, 86, 053612.

R.1482) Michaely E. & Fishman S.: 2012, "Statistical properties of the one dimensional Anderson model relevant for

the Nonlinear Schrödinger Equation in a random potential", Eur. Phys. J. B., 85, 362.

R.1483) Milonavov A.V. & Iomin A.: 2012, "Localization-delocalization transition on a separatrix system of nonlinear

Schrödinger equation with disorder", EPL, 100, 10006.

R.1484) Basko D.M.: 2012, "Local nature and scaling of chaos in weakly nonlinear disordered chains", Phys. Rev. E,

86, 036202.

R.1485) Rechtsman M., Szameit A. & Segev M.: 2012, "Linear and nonlinear wave dynamics in amorphous photonic

lattices", in "Nonlinear Photonics and Novel Optical Phenomena", eds. Chen Z. & Morandotti R., Springer

Series in Optical Sciences, 170, 93-109.

R.1486) Shepelyansky D.L.: 2012, "Kolmogorov turbulence, Anderson localization and KAM integrability", Eur. Phys.

J. B., 85, 199.

R.1487) Roy S. & Pikovsky A.: 2012, "Spreading of energy in the Ding-Dong model", Chaos, 22, 026118.

R.1488) de Brito P.E. & Nazareno H.N.: 2012, "Study of diffusion of wave packets in a square lattice under external

fields along the discrete nonlinear Schrödinger equation", Physica B, 407, 3910-3915.

R.1489) Moratti M. & Modugno M.: 2012, "Localization of a non interacting quantum wave packet in one-dimensional

disordered potentials", Eur. Phys. J. D, 66, 138.

R.1490) Lyra M.L. & Lima R.P.A.: 2012, "Wavepacket spreading dynamics under a non-instantaneous nonlinearity:

Self-trapping, defocusing and focusing", Phys. Rev. E, 85, 057201.

R.1491) Michaely E. & Fishman S.: 2012, "Effective noise theory for the Nonlinear Schrödinger equation with

disorder", Phys. Rev. E, 85, 046218.

R.1492) Vermersch B. & Garreau J.C.: 2012, "Interacting ultracold bosons in disordered lattices: Sensitivity of the

dynamics to the initial state", Phys. Rev. E, 85, 046213.

R.1493) Tezuka M. & García-García A.M.: 2012, "Testing the universality of the many body metal-insulator transition

by time evolution of a disordered one-dimensional ultracold fermionic gas", Phys. Rev. E, 85, 013602.

R.1494) Mulansky M. & Pikovsky A.: 2012, "Re-localization due to finite response times in a nonlinear Anderson

chain", Eur. Phys. J. B, 85, 105.

R.1495) Molina M.I., Lazarides N. & Tsironis G.P.: 2012, "Optical surface modes in the presence of nonlinearity and


R.1496) Fishman S., Krivolapov Y. & Soffer A.: 2012, "The nonlinear Schrödinger equation with a random potential:

Results and puzzles", Nonlinearity, 25, R53-R72.

R.1497) Zhang Z.J., Li W.J. & Tong P.Q.: 2012, "Effects of delayed nonlinear response on wave packet dynamics in

one-dimensional disordered chains", Eur. Phys. J. B, 85, 98.

R.1498) Dias W. S., Lyra M. L. & de Moura F. A. B. F.: 2012, "Self-trapping of interacting electrons in crystalline

nonlinear chains", Eur. Phys. J. B, 85, 7.

R.1499) Avelar A.T. & Cardoso W.B.: 2011, "Anderson localization in the quintic nonlinear Schrödinger equation",


R.1500) Modugno G., D’Errico C., Deissler B., Lucioni E., Modugno M., Moratti M., Roati G., Tanzi L., Zaccanti M.

& Inguscio M.: 2011, "Exploring disorder physics with Bose-Einstein condensates", Proceedings of the 20th

International Conference on Laser pectroscopy, ICOLS 2011, 131-138.

R.1501) Zhang Z.-J., Yu M., Gong L.-Y. & Tong P.-Q.: 2011, "Wave packet dynamics of two extended Harper

models", Acta Phys. Sin. 60, 097104.

R.1502) Cheng Y. & Adhikari S. K.: 2011, "Matter-wave localization in a weakly perturbed optical lattice", Phys. Rev.

A, 84, 053634.

R.1503) Cazalilla M. A., Citro R., Giamarchi T., Orignac E. & Rigol M.: 2011, "One dimensional bosons: From

condensed matter systems to ultracold gases", Rev. Mod. Phys., 83, 1405.

R.1504) Rivkind A., Krivolapov Y., Fishman S. & Soffer A.: 2011, "Eigenvalue repulsion estimates and some

applications for the one-dimensional Anderson model", J. Phys. A, 44, 305206.

Ch. Skokos 31/07/20 58

R.1505) Nguyen B.P., Kim K., Rotermund F. & Lim H.: 2011, "Enhanced localization of waves in one-dimensional

random media due to nonlinearity: Fixed input case", Physica B, 406, 4535-4537.

R.1506) Mulansky M., Ahnert K., Pikovsky A. & Shepelyansky D. L.: 2011, "Strong and weak chaos in weakly

nonintegrable many-body Hamiltonian systems", J. Stat. Phys., 145, 1256-1274.

R.1507) Lugan P. & Sanchez-Palencia L: 2011, "Localization of Bogoliubov quasiparticles in interacting Bose gases

with correlated disorder", Phys. Rev. E, 84, 013612.

R.1508) Cheng Y. & Adhikari S. K.: 2011, "Localization of a Bose-Fermi mixture in a bichromatic optical lattice",

Phys. Rev. A, 84, 023632.

R.1509) Cherroret N. & Wellens T.: 2011, "Fokker-Planck equation for transport of wave-packets in nonlinear

disordered media", Phys. Rev. A, 84, 021114.

R.1510) Antonopoulos C.G. & Christodoulidi H.: 2011, "Weak chaos detection in the Fermi-Pasta-Ulam-α system

using q-Gaussian statistics", Int. J. Bifurc. Chaos, 21, 2285-2296.

R.1511) Aubry S.: 2011, "KAM tori and absence of diffusion of a wave-packet in the 1D random DNLS model", Int. J.

Bifurc. Chaos, 21, 2125-2145.



R.1513) Piraud M., Lugan P., Bouyer P., Aspect A. & Sanchez-Palencia L.: 2011, "Localization of a matter wave

packet in a disordered potential", Phys. Rev. A, 83, 031603(R).

R.1514) Lucioni E., Deissler B., Tanzi L., Roati G., Modugno M., Zaccanti M., Inguscio M. & Modugno G.: 2011,

"Observation of subdiffusion of a disordered interacting system", Phys. Rev. Let., 106, 230403.

R.1515) Kevrekidis P.G.: 2011, "Nonlinear Waves in Lattices: Past, Present, Future", IMA J. Appl. Math., 76, 389-

423.

R.1516) Basko D. M.: 2011, "Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson

localization by Arnold diffusion", Annals Phys., 326, 1577-1655.

R.1517) Terao T.: 2011, "Localization-delocalization transition and subdiffusion of discrete nonlinear Schrödinger

equation in three dimensions", Phys. Rev. E, 83, 056611.

R.1518) Zhang Z., Tong P., Gong J. & Li B.: 2011, "Wave packet dynamics in one-dimensional linear and nonlinear

generalized Fibonacci lattices", Phys. Rev. E, 83, 056205.

R.1519) Březinová I., Collins L., Ludwig K., Schneider B. & Burgdörfer J.: 2011, "Wave chaos in the non-equilibrium

dynamics of the Gross-Pitaevskii equation", Phys. Rev. A, 83, 043611.

R.1520) Jović D. M., Kivshar Y. S., Denz C. & Belić M. R.: 2011, "Anderson localization of light near boundaries of

disordered photonic lattices", Phys. Rev. A, 83, 033813.

R.1521) Cheng Y. & Adhikari S. K.: 2011, "Localization of collisionally inhomogeneous condensates in a bichromatic

optical lattice ", Phys. Rev. A, 83, 023620.

R.1522) Mulansky M., Ahnert K. & Pikovsky A.: 2011, "Scaling of energy spreading in strongly nonlinear disordered


R.1523) Pikovsky A. & Fishman S.: 2011, "Scaling properties of weak chaos in nonlinear disordered lattices", Phys.

Rev. E, 83, 025201(R).

R.1524) de Moura F. A. B. F., Fulco U. L., Lyra M. L., Domínguez-Adamed F. & Albuquerque E. L.: 2011, "Electron

wave packet dynamics in twisted nonlinear ladders with correlated disorder", Physica A, 390, 535-540.

R.1525) Boreux J., Carletti T. & Hubaux C.: 2010, "High order explicit symplectic integrators for the Discrete Non

Linear Schrödinger equation", https://arxiv.org/abs/1012.3242.

R.1526) Yamada H. & Iguchi K.: 2010, "Some effective tight-binding models for electrons in DNA conduction: A

review", Adv. Cond. Matt. Phys., 2010, 380710.

R.1527) Larcher M., Modugno M. & Dalfovo F.: 2010, "Localization in momentum space of ultracold atoms in

incommensurate lattices", Phys. Rev. A, 83, 013624.

R.1528) Dias W. S., Lyra M. L. & de Moura F. A. B. F.: 2010, "Effects of nonlinearity on wave-packet dynamics in

square and honeycomb lattices", Phys. Rev. E,.82, 233102.

R.1529) Lepri S., Schilling R. & Aubry S.: 2010, "Asymptotic energy profile of a wave packet in disordered chains",

Phys. Rev. E,.82, 056602.

R.1530) Muruganandam P., Kishor Kumar R. & Adhikari S. K.: 2010, "Localization of a dipolar Bose-Einstein

condensate in a bichromatic optical lattice", J. Phys. B: At. Mol. Opt. Phys., 43, 205305.

R.1531) Cheng Y. & Adhikari S. K.: 2010, "Spatially antisymmetric localization of matter wave in a bichromatic

optical lattice", Laser Phys. Lett., 7, 824-830.

R.1532) Modugno G.: 2010, "Anderson localization in Bose-Einstein condensates", Rep. Prog. Phys., 73, 102401.

R.1533) Johansson M., Kopidakis G. & Aubry S.: 2010, "KAM tori in 1D random discrete nonlinear Schrödinger

model?", EPL, 91, 50001.

R.1534) de Moura F. A. B. F., Vidal E. J. G. G., Gléria I. & Lyra M. L.: 2010, "Electron self-trapping and self-focusing

in periodic chains with a finite nonlinear response time", Phys. Let. A, 374, 4152-4155.

Ch. Skokos 31/07/20 59

R.1535) Bodyfelt J. D., Kottos T. & Shapiro B.: 2010, "One parameter scaling theory for stationary states of

disordered nonlinear systems", Phys. Rev. Let., 104, 164102.

R.1536) Cheng Y. & Adhikari S. K.: 2010, "Matter-wave localization in a random potential", Phys. Rev. A,.82,

013631.

R.1537) Krivolapov Y., Fishman S. & Soffer A.: 2010, "A numerical and symbolical approximation of the nonlinear

Anderson model", New J. Phys., 12, 063035.

R.1538) Zhu H.-J. & Xiong S.-J.: 2010, "Dynamics of electron wave packet in a disordered chain with delayed

nonlinear response", Physica B, 405, 2615-2619.

R.1539) Mulansky M. & Pikovsky A.: 2010, "Spreading in disordered lattices with different nonlinearities", EPL, 90,

10015.

R.1540) Adhikari S. K.: 2010, "Localization of a Bose-Einstein condensate vortex in a bichromatic optical lattice",

Phys. Rev. E,.81, 043636.

R.1541) Cheng Y. & Adhikari S. K.: 2010, "Symmetry breaking in a localized interacting binary BEC in a bi-

chromatic optical lattice", Phys. Rev. E,.81, 023620.

R.1542) Iomin A.: 2010, "Subdiffusion in the nonlinear Schrödinger Equation with Disorder", Phys. Rev. E,.81,

017601.

R.1543) Veksler H., Krivolapov Y. & Fishman S.: 2010, "Double humped states in the nonlinear Schrödinger equation

with a random potential", Phys. Rev. E,.81, 017201.

R.1544) Henseler P.: 2009, "Interplay of Anderson Localization and Strong Interactions in Disordered Systems", Ph.D

Thesis, Mathematisch-Naturwissenschaftlichen Fakultät, Rheinischen Friedrich-Wilhelms-Universität, Bonn.

R.1545) dos Santos I. F.: 2009, "Transporte em Baixa Dimensionalidade na presença de Não-Linearidade e

Desordem", Ph.D Thesis, Instituto de Física da Universidade Federal de Alagoas, Maceió (in Portuguese).

R.1546) Veksler H.: 2009, "Localization of the generalized non-linear Schrödinger equation in a random potential",

M.Sc. Thesis, Technion – Israel Institute of Technology.

R.1547) Mulansky M., Ahnert K., Pikovsky A. & Shepelyansky D. L.: 2009, "Dynamical thermalization of disordered

nonlinear lattices", Phys. Rev. E, 80, 056212.

R.1548) Fishman S., Krivolapov Y. & Soffer A.: 2009, "Perturbation theory for the nonlinear Schrödinger equation

with a random potential", Nonlinearity, 22, 2861-2887.

R.1549) Manski K. & Henning D.: 2009, "Escape dynamics of coupled particles in nonlinear, disordered lattices",

Phys. Rev. E, 80, 051109.

R.1550) Larcher M., Dalfovo F. & Modugno M.: 2009, "Effects of interaction on the diffusion of atomic matter waves

in one-dimensional quasi-periodic potentials", Phys. Rev. A, 80, 053606.

R.1551) García-Mata I. & Shepelyansky D. L.: 2009, "Nonlinear delocalization on disordered Stark ladder", Eur. Phys.

J. B, 71, 121-124.

R.1552) Cherroret N.: 2009, "Transport cohérent en milieu aléatoire: des corrélations mésoscopiques à la localisation

d’Anderson", Ph.D. Thesis, L’ Université Joseph Fourier – Grenoble I.

R.1553) Iomin A.: 2009, "Dynamics of wave packets for the nonlinear Schrödinger equation with a random potential",

Phys. Rev. E, 80, 037601.

R.1554) Adhikari S. K. & Salasnich L.:2009, "Localization of a Bose-Einstein condensate in a bichromatic optical

lattice", Phys. Rev. A, 80, 023606.

R.1555) Veksler H., Krivolapov Y. & Fishman S.: 2009, "Spreading for the generalized nonlinear Schrödinger


R.1556) Lahini Y., Pugatch R., Pozzi F., Sorel M., Morandotti R., Davidson N. & Silberberg Y.: 2009, "Observation of

a Localization Transition in Quasiperiodic Photonic Lattices", Phys. Rev. Let., 103, 013901.

R.1557) Joshi C. & Ghosh S.: 2009, "Density, phase and coherence properties of a low dimensional Bose-Einstein

systems moving in a disordered potential", Eur. Phys. J. B, 68, 467-477.

R.1558) Efremidis N. K.: 2009, "Bifurcations of nonlinear localized modes in disordered lattices", Phys. Rev. A, 79,

063831.

R.1559) de Moura F. A. B. F., Gléria I., dos Santos I. F. & Lyra M. L.: 2009, "Wave-Packet Dynamics in Chains with

Delayed Electronic Nonlinear Response", Phys. Rev. Let., 103, 096401.

R.1560) Cherroret N. & Skipetrov S. E.: 2009, "Effect of interactions on the diffusive expansion of a Bose-Einstein

condensate in a three-dimensional random potential", Phys. Rev. A, 79, 063604.

R.1561) Amir A., Lahini Y. & Perets H. B.: 2009, "Classical Diffusion of a quantum particle in a noisy environment",

Phys. Rev. E, 79, 050105.

R.1562) Mulansky M.: 2009, "Localization properties of nonlinear disordered lattices", DiplomaThesis, Universität

Potsdam.

R.1563) Johansson M., Kopidakis G., Lepri S. & Aubry S.: 2009, "Transmission thresholds in time-periodically driven

nonlinear disordered systems", EPL, 86, 10009.

Ch. Skokos 31/07/20 60

R.1564) Ivanchenko M. V.: 2009, "q-Breathers in finite lattices: nonlinearity and weak disorder", Phys. Rev. Let., 102,

175507.

R.1565) García-Mata I. & Shepelyansky D. L.: 2009, "Delocalization induced by nonlinearity in systems with


R.1566) Ivanchenko M. V.: 2009, "q-Breathers in discrete nonlinear Schrödinger arrays with weak disorder", J.

Experim. Theor. Phys. Let., 89, 170-175.

To paper P.27: Skokos Ch., Krimer D. O., Komineas S. & Flach S.: 2009, "Delocalization of wave packets in

disordered nonlinear chains", Phys. Rev. E, 79, 056211 (Erratum: Phys. Rev. E., 89, 029907).





R.1569) Janarek J., Delande D., Cherroret N. & Zakrzewski J.: 2020, "Quantum boomerang effect for interacting

particles", Phys. Rev. A, 102, 0133303.

R.1570) Pikovsky A.: 2020, "Scaling of energy spreading in a disordered Ding-Dong lattice", J. Stat. Mech., 053301.







R.1574) Sun Z.-Y. & Yu X.: 2019, "Transient diffusion and two-regime localization of discrete breatherlike excitations

in nonlinear Schrödinger lattice with disorder", Phys. Rev. E, 100, 022202.

R.1575) Nazarenko S., Soffer A. & Tran M.-B.: 2019, "On the Wave Turbulence Theory for the Nonlinear Schrödinger

Equation with Random Potentials", Entropy, 21, 823.

R.1576) Milovanov A.V. & Iomin A.: 2019, "Subdiffusive Lévy flights in quantum nonlinear Schrödinger lattices with

algebraic power nonlinearity", Phys. Rev. E, 99, 052223.



R.1578) Mančić A., Baronio F., Hadžievski L., Wabnitz S. & Maluckov A.: 2018, "Statistics of vector Manakov rogue

waves", Phys. Rev. E, 98, 012209.

R.1579) Farzadian O. & Niry M.D.: 2018, "Role of short-range correlation in facilitation of wave propagation in a

long-range ladder chain", Phys. A, 505, 49-60.

R.1580) Li L., Wang B., Lü X.-Y. & Wu Y.: 2018, "Chaos-related Localization in Modulated Lattice Array", 530,

1700218.

R.1581) Mardonov Sh., Modugno M. & Sherman E. Ya.: 2018, "Effects of Anomalous Velocity in Spin-orbit Coupled

Systems" in "Spin Orbitronics and Topological Properties of Nanostructures.Lecture Notes of the 12th

International School on Theoretical Physics", World Scientific, 178-199.



R.1583) Modugno M., Sherman E.Ya. & Konotop V.V.: 2017, "Macroscopic random Paschen-Back effect in ultracold

atomic gases", Phys. Rev. A, 95, 063620.



6-11.





R.1587) dos Santos J.L.L., Sales M.O., Ranciaro Neto A. & de Moura F.A.B.F.: 2017, "Dynamics of interacting

electrons under effect of a Morse potential", Phys. Rev. E, 95, 052217.

R.1588) Milovanov A.V. & Iomin A.: 2017, "Destruction of Anderson localization in quantum nonlinear Schrödinger


R.1589) Astakhova T.Yu., Kashin V.A. & Vinogradov G.A.: 2017, "Charge Transfer and Anderson Localization in

One-Dimensional Finite-Size Disordered Systems", Russ. J. Phys. Chem., 11, 481-491.

R.1590) Wang L., Li N. & Hänggi P.: 2016, "Simulation of heat transport in low-dimensional oscillator lattices", Lect.

Notes Phys., 921, 239-274.

Ch. Skokos 31/07/20 61

R.1591) Ranciaro Neto A. & de Moura F.A.B.F.: 2016, "Electronic dynamics under effect of a nonlinear Morse

interaction and a static electric field", Nonlin. Sci. Num. Simul., 40, 6-14.

R.1592) Iomin A.: 2016, "Quantum continuous time random walk in nonlinear Schrödinger equation with disorder",

Chaos Solit. Fract., 93, 64-70.

R.1593) Cardoso W.B., Leão S.A. & Avelar A.T.: 2016, "Anderson localization in the quintic nonlinear Schrödinger

equation", Opt. Quant. Electron, 48, 388.

R.1594) Bai X.-D., Malomed B.A. & Deng F.-G.: 2016, "Unidirectional transport of wave packets through tilted

discrete breathers in nonlinear lattices with asymmetric defects", Phys. Rev. E, 94, 032216.



R.1596) Gao Z., Li N. & Li B.: 2016, " Stretch diffusion and heat conduction in one-dimensional nonlinear lattices",

Phys. Rev. E, 93, 032130.

R.1597) Martínez A.J., Kevrekidis P.G. & Porter M.A.: 2016, "Superdiffusive Transport and Energy Localization in

Disordered Granular Crystals", Phys. Rev. E, 93, 022902.

R.1598) Gao Z., Li N. & Li B.: 2016, "Heat conduction and energy diffusion in momentum-conserving one-

dimensional full-lattice ding-a-ling model", Phys. Rev. E, 93, 022102.

R.1599) Mardonov Sh., Modugno M. & Sherman E. Ya.: 2015, "Dynamics of Spin-Orbit Coupled Bose-Einstein

Condensates in a Random Potential", Phys. Rev. Lett., 115, 180402.

R.1600) Silva A.F.G., Lima R.P.A., Chaves Filho V.L., de Moura F.A.B.F. & Lyra M.L. : 2016, "Sensitivity to initial

conditions of the self-trapping transition in C60 buckyballs with relaxing nonlinearity", Commun. Nonlinear Sci.

Simulat., 30, 101-107.



R.1602) Naether U., Mejía-Cortés C. & Vicencio R.A.: 2015, " Pseudo-two-dimensional random dimer lattices",Phys.

Lett. A, 379, 988.

R.1603) Li Y., Liu S., Li N., Hänggi P. & Li B.: 2015, "1D momentum-conserving systems: the conundrum of

anomalous versus normal heat transport", New J. Phys., 17, 043064.

R.1604) Li Y., Li N. & Li B.: 2015, "Temperature dependence of thermal conductivities of coupled rotator lattice and

the momentum diffusion in standard map", Eur. Phys. J. B, 88, 182.

R.1605) Chaves Filho V.L., Lima R.P.A. & Lyra M.L. : 2015, "Interplay between modulational instability and self-

trapping of wavepackets in nonlinear discrete lattices", Chaos, 25, 063101.

R.1606) Sales M.O. & de Moura F.A.B.F.: 2014, "Electron–soliton dynamics in chains with cubic nonlinearity", J.

Phys.: Condens. Matter, 26, 415401.



R.1608) d'Errico C., Chaudhuri S., Gori L., Kumar A., Lucioni E., Tanzi L., Inguscio M. & Modugno G.: 2014,

"Transport of an interacting Bose gas in 1D disordered lattices", AIP Conf. Proc., 1610, 24-33.


Rev. E, 89, 062921.

R.1610) Nguyen B.P. & Kim K.: 2014, "Wave-packet Dynamics in One-dimensional Nonlinear Schrödinger Lattices:

Local vs. Nonlocal Nonlinear Effects", J Korean Phys. Soc., 64, 355-361.

R.1611) Li Y., Zhou J., Marchesoni F. & Li B.: 2014, "Wave-packet rectification in nonlinear electronic systems: A

tunable Aharonov-Bohm diode", Sci. Rep., 4, 4566.

R.1612) Fleishon G., Fishman S. & Soffer A.: 2014, "High order perturbation theory for Nonlinear Anderson Model",

Eur. Phys. J. B, 87, 35.

R.1613) Albuquerque E.L., Fulco U.L., Freire V.N., Caetano E.W.S., Lyra M.L. & Moura F.A.B.F.: 2014, "DNA-based

nanobiostructured devices: The role of the quasiperiodicity and correlation effects", Phys. Rep., 535, 139-209.




R.1616) Radosavljević A., Gligorić G., Maluckov A., Stepić M. & Milović D.: 2013, "Light propagation management

by disorder and nonlinearity in one-dimensional photonic lattices", J. Opt. Soc. Am. B, 30, 2340-2347.



R.1618) Biswas A., Adhikari S., Choudhary K, Basu R., Bandyopadhyay A.K., Bhattacharjee A.K. & Mandal D.: 2013,

"Quantum breathers in lithium tantalate ferroelectrics", Appl. Nanosci., 3, 343-355.

R.1619) Zhang J., Zhang Z. & Tong P.: 2013, "Effects of delayed nonlinear response on wave packet dynamics in one-

dimensional generalized Fibonacci chains", Physica B, 421, 18-22.

Ch. Skokos 31/07/20 62


053015.



R.1622) de Moura F.A.B.F.: 2013, "Numerical evidence of electron–soliton dynamics in Fermi–Pasta–Ulam

disordered chains", Physica D, 253, 66-72.



R.1624) Takahashi M., Katsura H., Kohmoto M. & Koma T.: 2012, "Multifractals competing with solitons on

Fibonacci optical lattices", New J. Phys., 14, 113012.

R.1625) Michaely E. & Fishman S.: 2012, "Statistical properties of the one dimensional Anderson model relevant for

the Nonlinear Schrödinger Equation in a random potential", Eur. Phys. J. B., 85, 362.


R.1627) Mandal B., Adhikari S., Basu R., Choudhary K, Mandal S. J., Biswas A., Bandyopadhyay A.K., Bhattacharjee

A.K. & Mandal D.: 2012, "Role of coupling of discrete breathers in split-ring-resonator-based metamaterials",

Phys. Scr., 86, 015601.

R.1628) Moratti M. & Modugno M.: 2012, "Localization of a non interacting quantum wave packet in one-dimensional

disordered potentials", Eur. Phys. J. D, 66, 138.

R.1629) Lyra M.L. & Lima R.P.A.: 2012, "Wavepacket spreading dynamics under a non-instantaneous nonlinearity:

Self-trapping, defocusing and focusing", Phys. Rev. E, 85, 057201.

R.1630) Michaely E. & Fishman S.: 2012, "Effective noise theory for the Nonlinear Schrödinger equation with


R.1631) Manjunath M., Awasthi A.P. & Geubelle P.H.: "Wave propagation in random granular chains", Phys. Rev. E,

85, 031308.



R.1633) Zhang Z.J., Li W.J. & Tong P.Q.: 2012, "Effects of delayed nonlinear response on wave packet dynamics in

one-dimensional disordered chains", Eur. Phys. J. B, 85, 98.

R.1634) Dias W. S., Lyra M. L. & de Moura F. A. B. F.: 2012, "Self-trapping of interacting electrons in crystalline

nonlinear chains", Eur. Phys. J. B, 85, 7.

R.1635) Avelar A.T. & Cardoso W.B.: 2011, "Anderson localization in the quintic nonlinear Schrödinger equation",


R.1636) Mandal S.J., Choudhary K., Biswas A., Bandyopadhyay A.K., Bhattacharjee A.K. & Mandal D.: 2011,

"Quantum breathers in Klein-Gordon lattice: Non-periodic boundary condition approach", J. Appl. Phys. 110,

124106.

R.1637) Cheng Y. & Adhikari S. K.: 2011, "Matter-wave localization in a weakly perturbed optical lattice", Phys. Rev.

A, 84, 053634.

R.1638) Rivkind A., Krivolapov Y., Fishman S. & Soffer A.: 2011, "Eigenvalue repulsion estimates and some

applications for the one-dimensional Anderson model", J. Phys. A, 44, 305206.



R.1640) Cheng Y. & Adhikari S. K.: 2011, "Localization of a Bose-Fermi mixture in a bichromatic optical lattice",

Phys. Rev. A, 84, 023632.



R.1642) Aubry S.: 2011, "KAM tori and absence of diffusion of a wave-packet in the 1D random DNLS model", Int. J.

Bifurc. Chaos, 21, 2125-2145.





R.1645) Kevrekidis P.G.: 2011, "Nonlinear Waves in Lattices: Past, Present, Future", IMA J. Appl. Math., 76, 389-

423.

R.1646) Nagy S. & Sailer K.: 2011, "Functional renormalization group for quantized anharmonic oscillator", Annals

Phys., 326, 1839-1876.



R.1648) Terao T.: 2011, "Localization-delocalization transition and subdiffusion of discrete nonlinear Schrödinger

equation in three dimensions", Phys. Rev. E, 83, 056611.

Ch. Skokos 31/07/20 63



R.1650) de Moura F. A. B. F., Leão F. F. S. & Lyra M. L.: 2011, "Resonant states and wavepacket super-diffusion in

intra-chain correlated ladders with diluted disorder", J. Phys.: Condens. Matter, 23 135303.

R.1651) Cheng Y. & Adhikari S. K.: 2011, "Localization of collisionally inhomogeneous condensates in a bichromatic

optical lattice ", Phys. Rev. A, 83, 023620.

R.1652) de Moura F. A. B. F., Fulco U. L., Lyra M. L., Domínguez-Adamed F. & Albuquerque E. L.: 2011, "Electron

wave packet dynamics in twisted nonlinear ladders with correlated disorder", Physica A, 390, 535-540.

R.1653) Boreux J., Carletti T. & Hubaux C.: 2010, "High order explicit symplectic integrators for the Discrete Non

Linear Schrödinger equation", https://arxiv.org/abs/1012.3242.

R.1654) Larcher M., Modugno M. & Dalfovo F.: 2010, "Localization in momentum space of ultracold atoms in

incommensurate lattices", Phys. Rev. A, 83, 013624.

R.1655) Dias W. S., Lyra M. L. & de Moura F. A. B. F.: 2010, "Effects of nonlinearity on wave-packet dynamics in

square and honeycomb lattices", Phys. Rev. E,.82, 233102.

R.1656) Cheng Y. & Adhikari S. K.: 2010, "Spatially antisymmetric localization of matter wave in a bichromatic

optical lattice", Laser Phys. Lett., 7, 824-830.

R.1657) Spencer T.: 2010, "Mathematical aspects of Anderson localization", Int. J. Mod. Phys. B, 24, 1621-1639.

R.1658) Johansson M., Kopidakis G. & Aubry S.: 2010, "KAM tori in 1D random discrete nonlinear Schrödinger

model?", EPL, 91, 50001.

R.1659) de Moura F. A. B. F., Vidal E. J. G. G., Gléria I. & Lyra M. L.: 2010, "Electron self-trapping and self-focusing

in periodic chains with a finite nonlinear response time", Phys. Let. A, 374, 4152-4155.

R.1660) Ponson L., Boechler N., Lai Y. M., Porter M. A., Kevrekidis P. G. & Daraio C.: 2010, "Nonlinear waves in

disordered diatomic granular chains ", Phys. Rev. E,.82, 021301.

R.1661) Cheng Y. & Adhikari S. K.: 2010, "Matter-wave localization in a random potential", Phys. Rev. A,.82,

013631.

R.1662) Krivolapov Y., Fishman S. & Soffer A.: 2010, "A numerical and symbolical approximation of the nonlinear

Anderson model", New J. Phys., 12, 063035.

R.1663) Zhu H.-J. & Xiong S.-J.: 2010, "Dynamics of electron wave packet in a disordered chain with delayed

nonlinear response", Physica B, 405, 2615-2619.

R.1664) Adhikari S. K.: 2010, "Localization of a Bose-Einstein condensate vortex in a bichromatic optical lattice",

Phys. Rev. E,.81, 043636.

R.1665) Cheng Y. & Adhikari S. K.: 2010, "Symmetry breaking in a localized interacting binary BEC in a bi-

chromatic optical lattice", Phys. Rev. E,.81, 023620.

R.1666) Iomin A.: 2010, "Subdiffusion in the nonlinear Schrödinger Equation with Disorder", Phys. Rev. E,.81,

017601.

R.1667) Veksler H., Krivolapov Y. & Fishman S.: 2010, "Double humped states in the nonlinear Schrödinger equation

with a random potential", Phys. Rev. E,.81, 017201.

R.1668) dos Santos I. F.: 2009, "Transporte em Baixa Dimensionalidade na presença de Não-Linearidade e

Desordem", Ph.D Thesis, Instituto de Física da Universidade Federal de Alagoas, Maceió (in Portuguese).

R.1669) Veksler H.: 2009, "Localization of the generalized non-linear Schrödinger equation in a random potential",

M.Sc. Thesis, Technion – Israel Institute of Technology.

R.1670) Fishman S., Krivolapov Y. & Soffer A.: 2009, "Perturbation theory for the nonlinear Schrödinger equation

with a random potential", Nonlinearity, 22, 2861-2887.

R.1671) Larcher M., Dalfovo F. & Modugno M.: 2009, "Effects of interaction on the diffusion of atomic matter waves

in one-dimensional quasi-periodic potentials", Phys. Rev. A, 80, 053606.

R.1672) Iomin A.: 2009, "Dynamics of wave packets for the nonlinear Schrödinger equation with a random potential",

Phys. Rev. E, 80, 037601.

R.1673) Veksler H., Krivolapov Y. & Fishman S.: 2009, "Spreading for the generalized nonlinear Schrödinger


R.1674) de Moura F. A. B. F., Gléria I., dos Santos I. F. & Lyra M. L.: 2009, "Wave-Packet Dynamics in Chains with

Delayed Electronic Nonlinear Response", Phys. Rev. Let., 103, 096401.

To paper P.28: Skokos Ch. & Flach S.: 2010, "Spreading of wave packets in disordered systems with tunable

nonlinearity", Phys. Rev. E, 82, 016208.

R.1675) Zhu K.-Q., Yu Z.-F., Gao J.-M., Zhang A.-X., Xu H.-P. & Xue J.-K.: 2019, "Periodically modulated

interaction effect on transport of Bose–Einstein condensates in lattice with local defects", Chin. Phys. B, 28,

010307.



Ch. Skokos 31/07/20 64

R.1677) Zhu K.-Q., Yu Z.-F. & Xue J.-K.: 2017, "Transport of spin-orbit coupled Bose–Einstein condensates in lattice

with defects", Phys. Lett. A, 381, 2272-2277.









R.1682) Nguyen B.P., Ngo Q.M. & Kim K.: 2016, " Transient Super-ballistic Spreading of Wave Packets with Large

Spreading Exponents in Some Hybrid Ordered-quasiperiodic Lattices", J Korean Phys. Soc., 68, 387-392.

R.1683) Milovanov A.V. & Iomin A.: 2015, "Topology of Delocalization in the Nonlinear Anderson Model and

Anomalous Diffusion on Finite Clusters", Discont. Nonlin. Complex., 4, 151-162.


Chin. Phs. Lett., 32, 120302.




Rev. E, 89, 062921.






053015.

R.1690) Jian Y., Zhang A.-X., He C.-X., Qi X.-Y. & Xue J.-K.: 2013, "Dynamics of a nonlocal discrete Gross-

Pitaevskii equation with defects", Phys. Rev. E, 87, 053201.

R.1691) Xu J., Zhang D.-W., Zhang X.-D. & Xue Z.-Y.: 2013, "Two parameters scaling approach to Anderson

localization of weekly interacting Bose-Einstein condensate", JETP Lett., 97, 239-244.










R.1697) Cherroret N. & Wellens T.: 2011, "Fokker-Planck equation for transport of wave-packets in nonlinear

disordered media", Phys. Rev. A, 84, 021114.







R.1701) Mulansky M. & Pikovsky A.: 2010, "Spreading in disordered lattices with different nonlinearities", EPL, 90,

10015.

To paper P.29: Laptyeva T. V., Bodyfelt J. D., Krimer D. O., Skokos Ch. & Flach S.: 2010, "The crossover from

strong to weak chaos for nonlinear waves in disordered systems", Europhysics Letters, 91, 30001.





R.1704) Vermersch B., Delande D. & Garreau J.C.: 2020, "Bogoliubov excitations in the quasiperiodic kicked rotor:

Stability of a kicked condensate and the quasi–insulator-to-metal transition", Phys. Rev. A, 101, 053625.

Ch. Skokos 31/07/20 65

R.1705) Lellouch S., Rançon A., De Bièvre S., Delande D. & Garreau J.C.: 2020, "Dynamics of the mean-field-

interacting quantum kicked rotor", Phys. Rev. A, 101, 043624.







R.1709) Gu H., Zhang H., Lin J., Shao Q., Young D.P., Sun L., Shen T.D. & Zhanhu Guo Z.: 2018, "Large negative

giant magnetoresistance at room temperature and electrical transport in cobalt ferrite-polyaniline

nanocomposites", Polymer, 143, 324-330.

R.1710) Martínez A.J., Porter M.A. & Kevrekidis P.G.: 2018, "Quasiperiodic granular chains and Hofstadter

butterflies", Phil. Trans. R. Soc. A, 376, 20170139.



R.1712) Schmidtke D., Steinigeweg R., Herbrych J. & Gemmer J.: 2017, "Interaction-Induced Weakening of

Localization in Few-Particle Disordered Heisenberg Chains", Phys. Rev. E, 95, 134201.



R.1714) Donsa S., Hofstätter H., Koch O., Burgdörfer J. & Březinová I.: 2017, "Long-time expansion of a Bose-

Einstein condensate: Observability of Anderson localization", Phys. Rev. A, 96, 043630.

R.1715) Sales M.O., Dias W.S., Ranciaro Neto A., Lyra M.L. & de Moura F.A.B.F.: 2017, " Sub-diffusive spreading


6-11.

R.1716) Schmidtke D., Steinigeweg R., Herbrych J. & Gemmer J.: 2017, "Interaction-induced weakening of

localization in few-particle disordered Heisenberg chains", Phys. Rev. E, 95, 134201.

R.1717) Cherroret N.: 2017, "A self-consistent theory of localization in nonlinear random media", J. Phys. Condens.

Matter, 29, 024002.

R.1718) Zhen H.-L., Tian B., Xie X.-Y., Wu X.-Y. & Wen X.-Y.: 2016, "Solitonic and chaotic behaviors for the

nonlinear dust-acoustic waves in a magnetized dusty plasma", Phys. Plasma, 23, 052301.





R.1721) Zhen H.-L., Tian B., Xie X.-Y. & Liu L.: 2016, "Optical-soliton and chaotic motions in a nonlocal nonlinear

medium", J. Mod. Opt., 63, 902-912.

R.1722) Zhen H.-L., Tian B., Sun Y. & Chai J.: 2016, "Soliton solutions and chaotic motions for the (2 + 1)-

dimensional Zakharov equations in a laser-induced plasma", Comput. Math. Appl., 71, 1337-1348.

R.1723) Tsironis G.P., Lazarides N., Maluckov A. & Hadžievski Lj.: 2015, "Extreme Events in Nonlinear Lattices",

Chapter 3 in "Chaos, Information Processing and Paradoxical Games The Legacy of John S Nicolis", eds.

Nicolis G. & Basios V., World Scientific.

R.1724) Zhen H.-L., Tian B., Sun W.-R. & Li M.: 2015, "Dynamic behavior of the (3+1)-dimensional generalized

Johnson model in a dusty plasma", J. Plasma Physics, 81, 905810113.

R.1725) Zhen H.-L., Tian B., Sun Y., Chai J. & Wen X.-Y.: 2015, "Solitons and chaos of the Klein-Gordon-Zakharov

system in a high-frequency plasma", Phys. Plasma, 22, 102304.

R.1726) Zhen H.-L., Tian B., Liu D.-Y., Liu L. & Jiang Y.: 2015, "Soliton-like solutions and chaotic motions for a

forced and damped Zakharov-Kuznetsov equation in a magnetized electron-positron-ion plasma", J. Plasma

Phys., 81, 905810515.

R.1727) Zhen H.-L., Tian B., Xie X.-Y. & Sun Y.: 2015, "Dynamic behavior of the incoherent optical spatial solitons

in a nonlocal nonlinear medium", J. Mod. Opt., 62, 793-800.

R.1728) Zhen H.-L., Tian B., Wang Y.-F. & Liu D.-Y.: 2015, "Soliton solutions and chaotic motions of the Zakharov

equations for the Langmuir wave in the plasma", Phys. Plasma, 22, 032307.

R.1729) Zhen H.-L., Tian B., Xie X.-Y. & Chai J: 2015, "Solitonic and chaotic behaviors of a (3+1)-dimensional

nonlinear Schrödinger equation in a magnetized electron-positron-ion plasma", Astrophys. Space Sci., 357, 83.


Chin. Phs. Lett., 32, 120302.

R.1731) Vermersch B., Delande D. & Garreau J.C.: 2014, "Anderson transition of Bogoliubov quasiparticles in the

quasiperiodic kicked rotor", https://arxiv.org/abs/1410.2587.

Ch. Skokos 31/07/20 66

R.1732) Zhen H.-L., Tian B., Zhong H. & Jiang Y.: 2014, "Dynamic behaviors and soliton solutions of the modified

Zakharov–Kuznetsov equation in the electrical transmission line", Comp. Math. Applic., 68, 579-588.




R.1735) Zhen H.-L., Tian B., Sun W.-R. & Li M.: 2014, "Soliton solutions and chaotic motion of the extended

Zakharov-Kuznetsov equations in a magnetized two-ion-temperature dusty plasma", Phys. Plasmas, 21, 073709.

R.1736) Radosavljević A., Gligorić G., Maluckov A. & Stepić M.: 2014, "Control of light propagation in one-

dimensional quasi-periodic nonlinear photonic lattices", J. Opt., 16, 025201.

R.1737) Mulansky M.: 2014, "Scaling of Chaos in Strongly Nonlinear Lattices", Chaos, 24, 024401.



R.1739) Březinová I., Burgdörfer J., Lode A.U.J., Streltson A.I., Cederbaum L.S., Alon O.E, Collins L.A. & Schneider

B.I.: 2014, "Elastic scattering of a Bose-Einstein condensate at a potential landscape", J. Phys.: Conf. Ser.,

488, 012032.



R.1741) Zhen H.-L., Tian B., Sun W.-R. & Li M.: 2013, "Dynamics of the Zakharov-Kuznetsov-Burgers equations in

dusty plasmas", Phys. Plasmas, 20, 082311.

R.1742) Vermersch B.: 2013, "Dynamique d’un gaz de bosons ultra-froids dans un milieu désordonné: Effets des

interactions sur la localisation et sur la transition d’Anderson", Ph.D Thesis, Université Lille 1.




053015.

R.1745) Vermersch B. & Garreau J.C.: 2013, "Spectral description of the dynamics of ultracold interacting bosons in

disordered lattices", New J. Phys., 15, 045030.

R.1746) Vermersch B. & Garreau J.C.: 2013, "Decoherence effects in the dynamics of interacting ultracold bosons in

disordered lattices", Eur. Phys. J. Special Top., 217, 109-119.

R.1747) Maluckov A., Lazarides N., Tsironis G.P. & Hadžievski Lj. : 2013, "Extreme events in two dimensional

disordered nonlinear lattices", Physica D, 252, 59-64.





R.1750) Mulansky M. & Pikovsky A.: 2012, "Scaling properties of energy spreading in nonlinear Hamiltonian two-

dimensional lattices", Phys. Rev. E, 86, 056214.



R.1752) Shepelyansky D.L.: 2012, "Kolmogorov turbulence, Anderson localization and KAM integrability", Eur. Phys.

J. B., 85, 199.


R.1754) Vermersch B. & Garreau J.C.: 2012, "Interacting ultracold bosons in disordered lattices: Sensitivity of the

dynamics to the initial state", Phys. Rev. E, 85, 046213.



R.1756) Modugno G., D’Errico C., Deissler B., Lucioni E., Modugno M., Moratti M., Roati G., Tanzi L., Zaccanti M.

& Inguscio M.: 2011, "Exploring disorder physics with Bose-Einstein condensates", Proceedings of the 20th

International Conference on Laser pectroscopy, ICOLS 2011, 131-138.







R.1760) Březinová I., Collins L., Ludwig K., Schneider B. & Burgdörfer J.: 2011, "Wave chaos in the non-equilibrium

dynamics of the Gross-Pitaevskii equation", Phys. Rev. A, 83, 043611.



Ch. Skokos 31/07/20 67

R.1762) Pikovsky A. & Fishman S.: 2011, "Scaling properties of weak chaos in nonlinear disordered lattices", Phys.

Rev. E, 83, 025201(R).

To paper P.30: Skokos Ch. & Gerlach E.: 2010, "Numerical integration of variational equations", Phys. Rev. E,

82, 036704.

R.1763) Hue J.H., Eren E., Chiew S.H., Wei J., Lau Z., Chang L., Chau T.T., Trappe M.-I. & Englert B.-G.: 2020,

"Fourth-order leapfrog algorithms for numerical time evolution of classical and quantum systems",

physics.comp-ph/2007.05308.



R.1765) Liu Y. & He D.: 2019, "Analytical measure of temperature for nonlinear dynamical systems", Phys. Rev. E,

100, 052143.

R.1766) Danieli C., Mithun T., Kati Y., Campbell D.K. & Flach S.: 2019, "Dynamical glass in weakly nonintegrable

Klein-Gordon chains", Phys. Rev. E, 100, 032217.



R.1768) Turchetti G. & Panichi F.: 2019, "Fast Indicators for Orbital Stability: A Survey on Lyapunov and

Reversibility Errors" [Online First], IntechOpen, DOI: 10.5772/intechopen.88085. Available from:











R.1773) Skoulidou D.:2017, "Symplectic Integration of Equations of Motion and Variational Equations for Extrasolar

Systems of N - Planets", M.Sc. Thesis, Physics Department, Aristotle University of Thessaloniki, Thessaloniki,

Greece.



R.1775) Zhang Z., Tang C., Kang J. & Tong P.: 2017, "Dynamical energy equipartition of the Toda model with

additional on-site potentials", Chin. Phys. B, 26, 100505.



R.1777) Zhang Z., Kang J. & Tang C.: 2016, "Energy Transports in Toda Lattices with Quasiperiodic On-site

Potentials", MATEC Web of Conferences 61, 01011.

R.1778) Christodoulidi H., Bountis T., Drossos L.: 2016, "Numerical integration of variational equations for

Hamiltonian systems with long range interactions", APNUM, 104, 158-165.

R.1779) Zhang Z., Tang C. & Tong P.: 2016, "Dynamical thermalization of Frenkel-Kontorova model in the

thermodynamic limit", Phys. Rev. E, 93, 022216.



R.1781) Naether U., Mejía-Cortés C. & Vicencio R.A.: 2015, " Pseudo-two-dimensional random dimer lattices",Phys.

Lett. A, 379, 988.




R.1783) Yang H.-K. & Gao B.-Q.: 2014, "Lyapunov characteristic exponents and dynamic elastic instability of steel

liquid storage tanks", Journal of Shanghai Jiaotong University, 48, 1660-1666.


Astron. Nachr., 335, 877-885.

R.1785) Ni X.-T. & Wu X.: 2014, "New adaptive time step symplectic integrator: an application to the elliptic

restricted three-body problem", Research Astron. Astroph., 14, 1329-1342.

R.1786) Wang Y., Wu X. & Sun W., 2013, "Dynamics of Charged Particles Around a Magnetized Black Hole with

Pseudo–Newtonian Potential", Commun. Theor. Phys., 60, 433-438.

Ch. Skokos 31/07/20 68

R.1787) Manika D.: 2013, "Application of the Compound Matrix Theory for the computation of Lyapunov Exponents of

autonomous Hamiltonian systems", M.Sc. Thesis, Physics Department, Aristotle University of Thessaloniki,

Thessaloniki, Greece.



R.1789) de Anda M.Á.G.: 2012, "On the calculation of Lyapunov characteristic exponents for continuous-time LTV

dynamical systems using dynamic eigenvalues", Int. J. Bifurc. Chaos, 22, 1250019.









MNRAS, 414, 659-667.

R.1794) Kushvah B. S.: 2011: "Trajectories of L4 and Lyapunov Characteristic Exponents in the Generalized

Photogravitational Chermnykh-Like problem", Astrophys. Space Sci., 333, 49-59.

To paper P.31: Bodyfelt J. D., Laptyeva T. V., Skokos Ch., Krimer D. O., & Flach S.: 2011, "Nonlinear waves in

disordered chains: probing the limits of chaos and spreading", Phys. Rev. E, 84, 016205.



R.1796) Zhao W.-L., Wang J. & Wang W.-G.: 2019, "Quantum-classical correspondence in a nonlinear Gross-

Pitaevski system", J. Phys. A: Math. Theor., 52, 305101.

R.1797) Fontanela F., Grolet A., Salles L, Chabchoub A., Champneys A.R., Patsias S. & Hoffmann N.: 2019,

"Dissipative solitons in forced cyclic and symmetric structures", Mech. Syst. Sign. Proc., 117, 280-292.

R.1798) Li S. & Li N.: 2018, "Renormalized vibrations and normal energy transport in 1d FPU-like discrete nonlinear

Schrödinger equations", Sci. Rep., 8, 5329.








Chin. Phs. Lett., 32, 120302.

R.1803) Li N. & Ren J.: 2014, "Non-Reciprocal Geometric Wave Diode by Engineering Asymmetric Shapes of

Nonlinear Materials", Scientific Rep., 4, 6228.



R.1805) Radosavljević A., Gligorić G., Maluckov A. & Stepić M.: 2014, "Control of light propagation in one-

dimensional quasi-periodic nonlinear photonic lattices", J. Opt., 16, 025201.










R.1811) Basko D.M.: 2012, "Local nature and scaling of chaos in weakly nonlinear disordered chains", Phys. Rev. E,

86, 036202.





Ch. Skokos 31/07/20 69

To paper P.32: Bodyfelt J. D., Laptyeva T. V., Gligoric G., Krimer D. O., Skokos Ch. & Flach S.: 2011, "Wave

interactions in localizing media - a coin with many faces", Int. J. Bifurc. Chaos, 21(8), 2107-2124.








R.1818) Naether U., Heinrich M., Lahini Y., Nolte S., Vicencio R.A., Molina M.I. & Szameit A.: 2013, "Self-trapping

threshold in disordered nonlinear photonic lattices", Optics Lett., 38, 1518-1520.

R.1819) Kottos T. & Shapiro B.: 2011, "Thermalization of strongly disordered nonlinear chains", Phys. Rev. E, 83,

062103.

To paper P.33: Ponno A., Christodoulidi H., Skokos Ch. & Flach S.: 2011, "The two-stage dynamics in the Fermi-

Pasta-Ulam problem: from regular to diffusive behavior", Chaos, 21,043127.

R.1820) Wang Z., Fu W., Zhang Y. & Zhao H.: 2020, "Universal Time Scale for Thermalization in Two-dimensional

Systems", cond-mat.stat-mech/2005.03478.



R.1822) Pace S.D. & Campbell D.K.: 2019, "Behavior and Breakdown of Higher-Order Fermi-Pasta-Ulam-Tsingou

Recurrences", Chaos, 29, 023132.

R.1823) Fu W., Zhang Y. & Zhao H.: 2019, "Universal law of thermalization for one-dimensional perturbed Toda

lattices", New J. Phys. 21, 043009.

R.1824) Goldfriend T. & Kurchan J.: 2019, "Equilibration of quasi-Integrable Systems", Phys. Rev. E, 99, 022146.

R.1825) Lvov Y.V. & Onorato M.: 2018, "Double scaling in the relaxation time in the β-Fermi-Pasta-Ulam-Tsingou

model", Phys. Rev. Lett., 120, 144301.

R.1826) Zhang Z., Tang C., Kang J. & Tong P.: 2017, "Dynamical energy equipartition of the Toda model with

additional on-site potentials", Chin. Phys. B, 26, 100505.

R.1827) Zhang Z., Kang J. & Tang C.: 2016, "Energy Transports in Toda Lattices with Quasiperiodic On-site

Potentials", MATEC Web of Conferences 61, 01011.

R.1828) Zhang Z., Tang C. & Tong P.: 2016, "Dynamical thermalization of Frenkel-Kontorova model in the

thermodynamic limit", Phys. Rev. E, 93, 022216.

R.1829) Matsuyama H. J. & Konishi T.: 2015, "Multistage slow relaxation in a Hamiltonian system: The Fermi-Pasta-

Ulam model", Phys. Rev. E, 92, 022917.

R.1830) Maspero A.: 2015, "Birkhoff Coordinates of Integrable Hamiltonian systems in Asymptotic Regimes", Ph.D.

Thesis, Dipartimento di Matematica F. Enriques, Università Statale degli Studi di Milano.

R.1831) Bambusi D. & Maspero A.: 2014, "Birkhoff coordinates for the Toda Lattice in the limit of infinitely many

particles with an application to FPU", https://arxiv.org/abs/1407.4315.

R.1832) Onorato M., Vozella L., Proment D. & Lvov Y.V.: 2014, "On the thermalization of the α-Fermi-Pasta-Ulam

system", https://arxiv.org/abs/1402.1603v1.



R.1834) Genta T., Giorgilli A., Paleari S. & Penati T.: 2012, "Packets of resonant modes in the Fermi–Pasta–Ulam

system", Phys. Let. A, 376, 2038-2044

To paper P.34: Boreux J., Carletti T., Skokos Ch. & Vittot M.: 2012, "Hamiltonian control used to improve the

beam stability in particle accelerator models", Commun. Nonlinear Sci. Num. Simulat., 17, 1725-1738.

R.1835) Zhang Y., Wang Y., Wang Z., Liu C. & Wang J.: 2018, "A full-digital multidimensional redundancy control

system for high intensity D-T fusion neutron generator", Prog. Nucl. Energy, 106, 367-371.

R.1836) Morozov I.A. & Levichev E.B.: 2016, "Dynamic aperture control in accelerator lattices with multipole

potentials", in "Proceedings of the 7th

International Particle Accelerator Conference, IPAC16",

http://accelconf.web.cern.ch/AccelConf/ipac2016/ , (ISBN 978-3-95450-147-2 web version), 3455-3457.

To paper P.35: Gerlach E., Eggl S. & Skokos Ch.: 2012, "Efficient integration of the variational equations of

multi-dimensional Hamiltonian systems: Application to the Fermi-Pasta-Ulam lattice", Int. J. Bifurc. Chaos,

22(9), 1250216.



Ch. Skokos 31/07/20 70

R.1838) Hu S., Wu X., Huang G. & Liang E.: 2020, "A novel energy-conserving scheme for eight-dimensional

Hamiltonian problems", Astroph. J., 887, 191.



R.1840) Pace B., Diele F. & Marangi C.: 2015, "Splitting schemes and energy preservation for separable Hamiltonian

systems", Math. Comput. Simul., 110, 40-52.

To paper P.36: Manos T., Skokos Ch. & Antonopoulos Ch. : 2012, "Probing the local dynamics of periodic orbits

by the generalized alignment index (GALI) method", Int. J. Bifurc. Chaos, 22(9), 1250218.





R.1843) Cvitanović P., Artuso R., Mainieri R., Tanner G. & Vattay G.: 2017, "Chapter 4: Local stability" in online











Chaos, 25, 1550116.



R.1850) Gupta B.R. & Kumar V.: 2015, "Time-Frequency Analysis of Asymmetric Triaxial Galaxy Model Including

Effect of Spherical Dark Halo Component", Int. J. Astrop. Astroph., 5, 106-115.




Astron. Nachr., 335, 877-885.

R.1853) Zachilas L., Katsanikas M. & Patsis P.A.: 2013, "The structure of phase space close to fixed points in a 4D

symplectic map", Int. J. Bifurc. Chaos, 23, 1330023.



R.1855) Knežević Z., Morbidelli A., Burns J. A., Athanassoula E., Laskar J., Malhotra R., Mikkola S., Peale S.J. &

Roig F.: 2012, "Commission 7: Celestial Mechanics and Dynamical Astronomy", Transactions IAU, Reports on

Astronomy 2009–2012, International Astronomical Union, 7, 15-20.

To paper P.38: Manos T., Bountis T. & Skokos Ch.: 2013, "Interplay between chaotic and regular motion in a

time-dependent barred galaxy model", J. Phys. A, 46, 254017.

R.1856) Dubeibe F.L., Martínez-Sicachá S.M. & González G.A.: 2019, "Orbital dynamics in realistic galaxy models:

NGC 3726, NGC 3877 and NGC 4010", Rev. Acad. Colomb. Cienc. Ex. Fis. Nat. 43, 24-30.

R.1857) Maffione NP., Gómez F.A., Cincotta P.M., Giordano C.M., Grand R.J.J., Marinacci F., Pakmor R., Simpson

C.M., Springel V. & Frenk C.S.: 2018, "On the relevance of chaos for halo stars in the solar neighbourhood

II", MNRAS, 478, 4052-4067.


338, 614-620.





R.1861) Zotos E.E. & Caranicolas N.D: 2016, "Determining the type of orbits in the central regions of barred

galaxies", RAA, 16, 26.

R.1862) Weinberg M.D.: 2015, "Practical application of KAM theory to galactic dynamics: I. Motivation and

methodology", https://arxiv.org/abs/1508.06855.

Ch. Skokos 31/07/20 71


Chaos, 25, 1550116.

R.1864) Jung C. & Zotos E. E.: 2015, "Introducing a New 3D Dynamical Model for Barred Galaxies", PASA, 32,

e042.



R.1866) Zotos E.E.: 2014, "How does the mass transport in disk galaxy models influence the character of orbits?",

Baltic Astron., 23, 151-170.


62, 102-110.


Astron. Nachr., 335, 877-885.




1214.

To paper P.39: Skokos Ch., Gkolias I. & Flach S.: 2013, "Nonequilibrium chaos of disordered nonlinear waves",

Phys. Rev. Let., 111, 064101 (Editors' Suggestion).







R.1874) Zhao W.-L., Wang J. & Wang W.-G.: 2019, "Quantum-classical correspondence in a nonlinear Gross-

Pitaevski system", J. Phys. A: Math. Theor., 52, 305101.

R.1875) Miranda Filho L.H., Amato M.A., Elskens Y. & Rocha Filho T.M.: 2019, "Contribution of individual degrees

of freedom to Lyapunov vectors in many-body systems", Commun. Nonlin. Sci. Numer. Simulat., 74, 236–247.

R.1876) Sales M.O., Ranciaro Neto A. & de Moura F.A.B.F.: 2018, "Spin-wave dynamics in nonlinear chains with

spin-lattice interactions", Phys. Rev. E, 98, 062136.



R.1878) Zampetaki A., Pablo Salas J. & Schmelcher P.: 2018, "Energy transfer mechanisms in a dipole chain: From

energy equipartition to the formation of breathers", Phys. Rev. E, 98, 022202.

R.1879) Novitsky D.V.: 2018, "Disordered resonant media: Self-induced transparency versus light localization", Phys.

Rev. A, 97, 013826.







6-11.







R.1886) Harko T, Pantaragphong P. & Sabau S.: 2015, "A new perspective on the Kosambi-Cartan-Chern theory, and

its applications", https://arxiv.org/abs/1509.00168.

R.1887) Laptyeva T.V., Tikhomirov A.A., Kanakov O.I. & Ivanchenko M.V.: 2015, "Anderson atractors in active

arrays", Sci. Reports, 5, 13263.

R.1888) Harko T., Ho C.Y., Leung C.S. & Yip, S.: 2015, "Jacobi stability analysis of the Lorenz system", Int. J. Goem.

Meth. Mod. Phys., 12, 1550081.



Ch. Skokos 31/07/20 72

R.1890) Laptyeva T.V., Denisov S.V., Opisov G.V. & Ivanchenko M.V.: 2014, "Localization in active incommensurate

arrays", https://arxiv.org/abs/1412.0533.




R.1893) Lee C., Rai A., Noh C. & Angelakis D.G.: 2014, "Probing the effect of interaction in Anderson localization

using linear photonic lattices", Phys. Rev. A, 89, 023823.





To paper P.40: Tieleman O., Skokos Ch. & Lazarides A.: 2014, "Chaoticity without thermalisation in disordered

lattices", Europhysics Letters, 105, 20001.

R.1896) Laptyeva T.V., Ivanchenko M.V. & Flach S.: 2014, "Nonlinear lattice waves in heterogeneous media", J.

Phys. A, 47, 493001.

R.1897) Kwasigroch M.P. & Cooper N.R.: 2014, "Bose-Einstein Condensation and Many-Body Localization of

Rotational Excitations of Polar Molecules", Phys. Rev. A, 90, 021605(R).

To paper P.41: Skokos Ch., Gerlach E., Bodyfelt J. D., Papamikos G. & Eggl S.: 2014, "High order three part

split symplectic integrators: Efficient techniques for the long time simulation of the disordered discrete non

linear Schrödinger equation", Phys. Let. A, 378, 1809-1815.

R.1898) Ramos A., Kottos T. & Shapiro B.: 2019, "Optical Phase Transitions in Photonic Networks: A Spin System

Formulation", cond-mat.dis-nn/1912.10569.

R.1899) Casas F. & Escorihuela-Tomàs A.: 2020, "Composition Methods for Dynamical Systems Separable into Three

Parts", Mathematics 8, 533.

R.1900) Laskar J. & Vaillant T.: 2019, "Dedicated symplectic integrators for rotation motions", Cel. Mech. Dyn. Astr.,

131, 15.

R.1901) Vaillant T.: 2018, "Rotation à long terme des corpes célestes et application à Cérès et Vesta", Ph.D. Thesis,

Observatoire de Paris, France.

R.1902) Li L., Wang B., Lü X.-Y. & Wu Y.: 2018, "Chaos-related Localization in Modulated Lattice Array", 530,

1700218.



R.1904) Li D., Han X., Chai Y., Wang C., Zhang Z., Chen Z., Liu J. & Shao J.: 2017, "Stationary state distribution and

efficiency analysis of the Langevin equation via real or virtual dynamics", J. Chem. Phys., 147, 184104.

R.1905) Zhang Z., Liu X., Chen Z., Zheng H., Yan K. & Liu J.: 2017, "A unified thermostat scheme for efficient

configurational sampling for classical/quantum canonical ensembles via molecular dynamics", J. Chem. Phys.,

147, 034109.



R.1907) Blanes S., Casas F., Murua A.: 2015, "An efficient algorithm based on splitting for the time integration of the

Schrödinger equation", J. Comput. Phys., 303, 396-412.

R.1908) Laptyeva T.V., Ivanchenko M.V. & Flach S.: 2014, "Nonlinear lattice waves in heterogeneous media", J.

Phys. A, 47, 493001.


To paper P.42: Antonopoulos Ch., Bountis T., Skokos Ch. & Drossos L.: 2014, "Complex statistics and diffusion

in nonlinear disordered particle chains", Chaos, 24, 024405.

R.1910) Ruseckas J.: 2015, "Probabilistic model of N correlated binary random variables and non-extensive statistical

mechanics", Phys. Lett. A, 379, 654-659.

To paper P.43: Kyriakopoulos N., Koukouloyannis V., Skokos Ch. & Kevrekidis P.: 2014, "Chaotic behavior of

three interacting vortices in a confined Bose-Einstein condensate", Chaos, 24, 024410.

R.1911) Zhang T., Schloss J., Thomasen A., O’Riordan L.J., Busch T. & White A.: 2019, "Chaotic few-body vortex

dynamics in rotating Bose–Einstein condensates", Phys. Rev. Fluids, 4, 054701.

R.1912) Schloss J.R. & O’Riordan L.J.: 2018, "GPUE: Graphics Processing Unit Gross–Pitaevskii Equation solver",

Journal of Open Source Software, 3, 1037.

Ch. Skokos 31/07/20 73



R.1914) Tsatsos M.C., Tavares P.E.S, Cidrim A., Fritsch A.R., Caracanhas M.A., Ednilson F., dos Santos A., Barenghi

C.F & Bagnato V.S.: 2016, "Quantum turbulence in trapped atomic Bose-Einstein condensates", Physics

Reports, 622, 1-52.



To paper P.44: Achilleos V., Theocharis G. & Skokos Ch.: 2016, "Energy transport in one-dimensional

disordered granular solids", Phys. Rev. E, 93, 022903.

R.1916) Zhang W. & Xu J.: 2020, "Universal design law of equivalent systems for Nesterenko solitary waves

transmission", Gran. Matt., 22, 46.

R.1917) Li L.-L., Yang X.-Q. & Zhang W.: 2018, "Two interactional solitary waves propagating in two-dimensional

hexagonal packing granular system", Gran. Matt., 20, 49.

R.1918) Gerasymov O.I.: 2018, "Structure and Photonics of discrete meso-scaled anisotropic systems", Monography,

Odesa State Environmental University.

R.1919) Martínez A.J., Porter M.A. & Kevrekidis P.G.: 2018, "Quasiperiodic granular chains and Hofstadter

butterflies", Phil. Trans. R. Soc. A, 376, 20170139.

R.1920) Rosas A. & Lindenberg K.: 2018, "Pulse propagation in granular chains", Phys. Rep., 735, 1-37.

R.1921) Chong C. & and Kevrekidis P.G.: 2018, "Heterogeneous Media", in "Coherent Structures in Granular Crystals.

From Experiment and Modelling to Computation and Mathematical Analysis", SpringerBriefs in Physics, 51-67.



R.1923) Chong C., Porter M.A., Kevrekidis P.G. & Daraio C.: 2017, "Nonlinear Coherent Structures in Granular

Crystals", J. Phys.: Condens. Matter, 29, 413002.

R.1924) Shrivastava R.K. & Luding S.: 2017, "Effect of disorder on bulk sound wave speed: a multiscale spectral

analysis", Nonlin. Processes Geophys., 24, 435–454.

R.1925) Yousefzadeha B. & Srikantha Phania A.: 2016, "Supratransmission in a Disordered Nonlinear Periodic

Structure", J. Sound Vibr., 380, 242-266.

R.1926) Martínez A.J., Yasuda H., Kim E., Kevrekidis P.G., Porter M.A. & Yang J.: 2016, "Scattering of waves by

impurities in precompressed granular chains", Phys. Rev. E, 93, 052224.



To paper P.45: Gerlach E., Meichsner J, & Skokos Ch.: 2016, "On the symplectic integration of the discrete

nonlinear Schrödinger equation with disorder", Eur. Phys. J. Sp. Top., 225, 1103-1114.

R.1928) Ramos A., Kottos T. & Shapiro B.: 2019, "Optical Phase Transitions in Photonic Networks: A Spin System

Formulation", cond-mat.dis-nn/1912.10569.



R.1930) Hatami H., Danieli C., Bodyfelt J.D. & Flach S.: 2016, "Quasiperiodic driving of Anderson localized waves in

one dimension", Phys. Rev. E, 93, 062205.

To paper P.47: Chaves-Velasquez L., Patsis P. A., Puerari I., Skokos Ch. & Manos T.: 2017, "Boxy orbital

structures in rotating bar models", Astroph. J., 850, 145.

R.1931) Ali B., Paul D., Eckart A., Parsa M., Zajacek M., Peißker F., Subroweit M., Valencia-S. M., Thomkins L. &

Witzel G.: 2020, "Kinematic Structure of the Galactic Center S Cluster", Astroph. J., 869, 100.



R.1933) Di Cintio P. & Casetti L.: 2019, "N-body chaos and the continuum limit in numerical simulations of self-

gravitating systems, revisited", MNRAS, 489, 5876-5888.

R.1934) Varri A.L., Cai M.X., Concha-Ramírez F., Dinnbier F., Lützgendorf N., Pavlík V., Rastello S., Sollima A.,

Wang L. & Zocchi A.: 2018, "A MODEST review", Computational Astrophysics and Cosmology, 5, 2.

To paper P.49: Achilleos V., Theocharis G. & Skokos Ch.: 2018, "Chaos and Anderson-like localization in

polydisperse granular chains", Phys. Rev. E, 97, 042220.


R.1936) Shi X., Chaunsali R. & Yang J.: 2018, "Elastic Wannier-Stark Ladders and Bloch oscillations in 1D granular

crystals", J. Appl. Phys., 123, 104904

Ch. Skokos 31/07/20 74



To paper P.50: Senyange B. & Skokos Ch.: 2018, "Computational efficiency of symplectic integration schemes:

Application to multidimensional disordered Klein-Gordon lattices", Eur. Phys. J. Sp. Top., 227, 625-643.







To paper P.51: Senyange B., Many Manda B. & Skokos Ch.: 2018, "Characteristics of chaos evolution in one-

dimensional disordered nonlinear lattices", Phys. Rev. E, 98, 052229.

R.1941) Kati Y., Yu X. & Flach S.: 2020, "Density resolved wave packet spreading in disordered Gross-Pitaevskii

lattices", cond-mat.stat-mech/2006.06286.




R.1944) Miranda Filho L.H., Amato M.A., Elskens Y. & Rocha Filho T.M.: 2019, "Contribution of individual degrees

of freedom to Lyapunov vectors in many-body systems", Commun. Nonlin. Sci. Numer. Simulat., 74, 236–247.

To paper P.52: Hillebrand M., Kalosakas G., Schwellnus A. & Skokos Ch.: 2019, "Heterogeneity and chaos in the

Peyrard-Bishop-Dauxois DNA model", Phys. Rev. E, 99, 022213.

R.1945) Muniz M.I., Lackey H.H., Heemstra J.M. & Weber G.: 2020, "DNA/TNA mesoscopic modeling of melting

temperatures suggests weaker hydrogen bonding of CG than in DNA/RNA", Chem. Phys. Lett., 749, 137413.

R.1946) Behnia S., Fathizadeh S., Javanshour E. & Nemati F.: 2020, "Light-Driven Modulation of Electrical Current

through DNA Sequences: Engineering of a Molecular Optical Switch", J. Phys. Chem. B, 124, 3261-3270.

R.1947) Chetverikov A.P., Ebeling W., Lakhno V.D. & Velarde M.G.: 2019, "Discrete-breather-assisted charge

transport along DNA-like molecular wires", Phys. Rev. E., 100, 052203.

To paper P.53: Ngapasare A., Theocharis G., Richoux O., Skokos Ch. & Achilleos V.: 2019, "Chaos and Anderson

Localisation in Disordered Classical Chains: Hertzian versus Fermi-Pasta-Ulam-Tsingou models", Phys. Rev. E,

99, 032211.


To paper P.54: Danieli C., Many Manda B., Mithun T. & Skokos Ch.: 2019, "Computational efficiency of

numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two

spatial dimensions", Math. in Engineering, 1, 447-488.



R.1950) Casas F. & Escorihuela-Tomàs A.: 2020, "Composition Methods for Dynamical Systems Separable into Three

Parts", Mathematics 8, 533.

To paper P.55: Many Manda B., Senyange B. & Skokos Ch.: 2020, "Chaotic wave packet spreading in two-

dimensional disordered nonlinear lattices", Phys. Rev. E, 101, 032206.

R.1951) Kati Y., Yu X. & Flach S.: 2020, "Density resolved wave packet spreading in disordered Gross-Pitaevskii

lattices", cond-mat.stat-mech/2006.06286.

To paper C.1: Skokos Ch. : 1993, "Study of a 4-D mapping" in "Proc. A' Panhellenic Asron. Meeting" ed.

Laskarides P.G., Athens, 491-495 (in Greek).

R.1952) Contopoulos G. : 1995, "Order and Chaos in Three-Dimensional Systems", Ann. New York Acad. Sci., 751,

112-130.

To paper C.3: Skokos Ch., Contopoulos G. & Giorgilli A.: "Study of the effective stability in the restricted three

body problem", 1996, in "Proc. 2nd Hellenic Astron. Conf." eds. Contadakis M. E., Hadjidemetriou J. D.,

Mavridis L. N. & Seiradakis J. H., Thessaloniki, 526-531.

R.1953) Dvorak R. : 1998, "On the dynamics of bodies in our Planetary System", in "Reviews in Modern Astronomy

11. Stars and Galaxies", ed. Scielicke R. E., Astronomische Gesellschaft, Hamburg, 29-56.

Ch. Skokos 31/07/20 75

To paper C.4: Skokos Ch., Contopoulos G. & Polymilis C. : 1996, "Non periodic orbits in a four dimensional

symplectic map" in "Proc. 2nd

Hellenic Astron. Conf." eds. Contadakis M. E., Hadjidemetriou J. D., Mavridis L.

N. & Seiradakis J. H., Thessaloniki, 578-582.




To paper C.6: Skokos Ch., Contopoulos G. & Polymilis C. : 1999, "Numerical study of the phase space of a four

dimensional symplectic map" in "Hamiltonian systems with three or more degrees of freedom", ed. Simó C.,

NATO ASI Series, Series C: Mathematical and Physical Sciences, Kluwer Academic Publishers, 533, 583-587.

R.1955) Zotos E.E.: 2012, "Application of new dynamical spectra of orbits in Hamiltonian systems", Nonlinear Dyn.,

69, 2041-2063.





Chaos, 21, 467-496.

To paper C.12: Skokos Ch. : 2002, "Stability types of periodic orbits of multidimensional Hamiltonian systems" in

"Proceedings of the 5th

Hellenic Astronomical Conference",

http://www.astro.auth.gr/elaset/helasmtg/2001/proceedings.htm.




To paper C.13: Skokos Ch.: "Smaller alignment index (SALI): a new indicator distinguishing between ordered

and chaotic motion", 2002, in "Proceedings of the 5th

Hellenic Astronomical Conference",

http://www.astro.auth.gr/elaset/helasmtg/2001/proceedings.htm.




R.1960) Antonopoulos Ch. : 2002, "Singularity analysis and study of the motion of the Hydrogen atom in a van der

Waals Potential", M.Sc. Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras,

http://www.math.upatras.gr/~antonop/downloads/pdf_files/my%20masters%20thesis.pdf, (in Greek).

To paper C.15: Bountis T. C., Skokos Ch. & Vrahatis M. N. : 2002, "Computation and stability of periodic orbits

of nonlinear mappings" in " Proceedings of the 4th GRACM Congress on Computational Mechanics", ed.

Tsahalis D. T., Vol. II, 562-570.

R.1961) Crofts J.: 2007, "Efficient method for detection of periodic orbits in chaotic maps and flows", Ph.D. Thesis,

Department of Mathematics, Univ. of Leicester, nlin.CD /0706.1940.

To paper C.16: Skokos Ch., Antonopoulos Ch., Bountis T. C. & Vrahatis M. N. : 2002, "Smaller alignment index

(SALI): Detecting order and chaos in conservative dynamical systems" in "Proceedings of the 4th GRACM

Congress on Computational Mechanics", ed. Tsahalis D. T., Vol. IV, 1496-1502.















Ch. Skokos 31/07/20 76












To paper C.19: Skokos Ch. : 2003, "Stability of periodic orbits of multidimensional Hamiltonian systems.

Application to systems with four degrees of freedom" in "Order and Chaos in Non-linear Dynamical Systems, Vol.

8" eds. Bountis T. C., Ichtiaroglou S. & Pnevmatikos S., Sfakianaki K., Thessaloniki, 111-126.




To paper C.20: Patsis P. A., Skokos Ch. & Athanassoula E. : 2003, "Peanuts in barred analytic potentials" in

"Astrophysical Supercomputing using Particle Simulations", IAU Symp., Vol. 208, eds. Makino J. & Hut P., 437-

438.

R.1973) ESA-ESO Working Groups: 2008, "Report No. 4. Galactic populations, chemistry and dynamics", Chair:

Turon C., Co-chair: Primas F.

To paper C.21: Skokos Ch., Antonopoulos Ch., Bountis T. C. & Vrahatis M. N. : 2003, "Smaller alignment index

(SALI): Determining the ordered or chaotic nature of orbits in conservative dynamical systems" in "Proceedings

of the Conference Libration Point Orbits and Applications", eds. Gómez G., Lo M. W. & Masdemont J. J.,

World Scientific, 653-664.








Astron. Nachr., 335, 877-885.






R.1980) Kovács B.: 2007, "About the efficiency of Fast Lyapunov Indicator surfaces and Small Alignment Indicator

surfaces", Astron. Dept. of the Eötvös Univ., PADEU, 19, 221-236.







To paper C.22: Polymilis C., Servizi G., Skokos Ch., Turchetti G. & Vrahatis M. N. : 2003, "Locating periodic

orbits by Topological Degree theory" in "Proceedings of the Conference Libration Point Orbits and

Applications", eds. Gómez G., Lo M. W. & Masdemont J. J., World Scientific, 665-676.

R.1983) Cvitanović P., Artuso R., Mainieri R., Tanner G. & Vattay G.: 2017, "Chapter 6: Lyapunov exponents" in

online book "Chaos: Classical and Quantum. I: Deterministic Chaos", version 15.9, http://chaosbook.org/.

R.1984) Steeb, W.-H.: 2011, "The nonlinear workbook: Chaos, fractals, cellular automata, genetic algorithms, gene

expression programming, support vector machine, wavelets, hidden markov models, fuzzy logic with C++, java

Ch. Skokos 31/07/20 77

and symbolicC++ programs", 5th Edition, http://www.worldscientific.com/worldscibooks/10.1142/8050, World

Scientific Publishing Co.

R.1985) Gao F. & Tong H.: 2005, "Computing two linchpins of topological degree by a novel differential evolution

algorithm", Int. J. Comput. Intellig. Applic., 5 (3), 335-350.

R.1986) Pingel D., Schmelcher P. & Diakonos F. K. : 2004, "Stability transformation: a tool to solve nonlinear

problems", Phys. Rep., 400, 67-148.

R.1987) Kouptsov K. L. : 2004, "Interval propagation method for finding trajectories of chaotic maps", J. Phys. A, 37,

6491-6506.

To paper C.30: Papaphilippou Y., Farvacque L., Plouviez E., Revol J.-L., Ropert A., Laskar J. & Skokos Ch. :

2004, "Experimental frequency maps for the ESRF storage ring" in "Proceedings of the 9th European Particle

Accelerator Conference EPAC’04", http://accelconf.web.cern.ch/accelconf/e04/default.htm, (ISBN 92-9083-231-2

web version), 2050-2052.

R.1988) Zisopoulos P., Gasior M., Serluca M. & Sterbini G.: 2017, "Fast bunch by bunch tune measurements at the

CERN PS" in "Proceedings of the 8th International Particle Accelerator Conference IPAC’17",

http://accelconf.web.cern.ch/AccelConf/ipac2017/ (ISBN 978-3-95450-182-3 web version), 415-418.

R.1989) Kling A. & Balewski K.: 2010, "Frequency maps at PETRA III" in "Proceedings of the 1st International

Particle Accelerator Conference IPAC’10", http://accelconf.web.cern.ch/AccelConf/IPAC10/ (ISBN 978-92-

9083-352-9 web version), 2511-2513.

To paper C.31: Bratsos A. G., Papadopoulos D. P. & Skokos Ch. : 2004, "A numerical solution of the Boussinesq

equation using the Adomian method" in Lecture Series on Computer and Computational Sciences, Vol. 1

"ICCMSE 2004, International Conference of Computational Methods in Sciences and Engineering 2004", eds.

Simos Th. & Maroulis G., VSP International Science Publishers, 83-86.

R.1990) Hosseini M. M. & Jafari M.: 2009, "An efficient method for solving nonlinear singular initial value problems",

Int. J. Computer Math., 86, 1657-1666.

To paper C.34: Tzirtzilakis E. E., Skokos Ch. & Bountis T. C. : 2005, "Numerical solution of the Boussinesq

equation using spectral methods and stability of solitary wave propagation" in "Proceedings of the 1st

International Conference: From Scientific Computing to Computational Engineering", ed. Tsahalis D. T., Patras

Univ. Press, Vol. III, 928-933.

R.1991) El-Kady M, El-Sayed S.M. & Salem H.E.: 2015, "Numerical Solutions of Coupled Nonlinear Evolution

Equations via El-gendi Nodal Galerkin Method", Brit. J. Math. Comp. Sci., 5, 310-332.

R.1992) Siddiqi S.S. & Arshed S.: 2014, "Quintic B-spline for the numerical solution of the good Boussinesq

equation". J. Egypt. Math. Soc., 22, 209-213.

R.1993) Hassan H. N.: 2010, "Numerical solution of a Boussinesq type equation using Fourier spectral methods",

Zeitschrift für Ntaurforschung A, A Journal of Physical Sciences, 65a, 305-314.

To paper C.35: Antonopoulos Ch., A. Manos A. & Skokos Ch. : 2005, "SALI: an efficient indicator of chaos with

application to 2 and 3 degrees of freedom Hamiltonian systems" in "Proceedings of the 1st International

Conference: From Scientific Computing to Computational Engineering", ed. Tsahalis D. T., Patras Univ. Press,

Vol. III, 1082-1088.


Romanian).

R.1995) Bhardwaj R. & Bangia A.: 2019, "Dynamic Indicator for the Prediction of Atmospheric Pollutants", Asian J.

Water, Envir. Pollut., 16, 39–50.


Chaos, 25, 1550116.

To paper C.38: Skokos Ch. & Papaphilippou Y. : 2008, "Non Linear Dynamics Study of the CLIC Damping

Rings Using Symplectic Integrators", in "Proceedings of the 11th European Particle Accelerator Conference,

EPAC08", http://accelconf.web.cern.ch/AccelConf/e08/, (ISBN 978-92-9083-315-4 web version), 682-684.



To paper C.39: Manos T., Skokos Ch. & Bountis T.: 2008, "Application of the Generalized Alignment Index

(GALI) method to the dynamics of multi-dimensional symplectic maps" in "Chaos, Complexity and Transport:

Theory and Applications. Proceedings of the CCT 07" eds. Chandre C., Leoncini X. & Zaslavsky G., World


Ch. Skokos 31/07/20 78




Astron. Nachr., 335, 877-885.

To paper C.40: Manos T., Skokos Ch. & Bountis T.: 2009, "Global dynamics of coupled standard maps" in

"Chaos in Astronomy", Astrophysics and Space Science Proceedings, eds. Contopoulos G. & Patsis P. A.,

Springer-Verlag, 367-371.

R.2000) Blumenthal A., Xue J. & Yang Y.: 2020, "Lyapunov exponents for random perturbations of coupled standard

maps", math.DS/2004.10626.



R.2002) Gidea M., Gidea C & Byrd W.: 2011, "Deterministic models for simulating electrocardiographic signals",

Commun. Nonlinear Sci. Numer. Simul., 16, 3871-3880.

To paper C.41: Gerlach E. & Skokos Ch.: 2011, "Comparing the efficiency of numerical techniques for the

integration of variational equations", in "Dynamical Systems, Differential Equations and Applications",

Discr.Cont. Dyn. Sys.-Supp. 2011 (dedicated to the 8th

AIMS’ Conference), eds. Feng W., Feng Z., Grasselli M.,

Ibragimov A., Lu X, Siegmund S. & Voirt J., AIMS, 475-484.















R.2009) Mai E. & Geyer R.: 2014, "Numerical orbit integration based on Lie series with use of parallel computing

techniques", Adv. Space Res., 53, 77-89.





To paper C.42: Gerlach E., Eggl S., Skokos Ch., Bodyfelt J. D. & Papamikos G.: 2013, "High order three part

split symplectic integration schemes", in "Proceedings of the 10th HSTAM International Congress on

Mechanics", nlin.CD/1306.0627.

R.2012) Zhou Z. & Russo G.: 2019, "The Gaussian wave packets transform for the semi-classical Schrödinger

equation with vector potentials", Commun. Comput. Phys., 26, 469-505 (http://global-

sci.org/intro/article_detail/cicp/13099.html, math.NA/1802.0370).



R.2014) Channell P.J.: 2014, "Hybrid symplectic integrators for relativistic particles in electric and magnetic fields",

Comput. Sci. & Discov., 7, 015001.

citationsmath_research.uct.ac.za/...citations_english.pdf · ch. skokos 1 27/05/20 citations...

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