chaos, solitons and fractals - molecular...
Post on 03-Apr-2018
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For
tw
o di
men
sion
al:
, the
equ
atio
n (2
0) is
as
belo
w
Met
ric:
Chr
isto
ffel
s sy
mb
ols:
Th
e eq
uati
on (
20)
can
be
calc
ulat
ed a
s
in w
hich
,
The
refo
re,
Pot
enti
al f
unc
tion
:
For
cas
e I:
th
e eq
uat
ion
of
anh
arm
onic
sys
tem
in a
per
iodi
c fi
eld
Let
:
The
refo
re,
For
cas
e II
: th
e n
onli
nea
r eq
uat
ion
of a
par
amet
rica
lly
exci
ted
dam
ped
pen
dul
um
Thu
s,
=0
=0
For
cas
e II
I: t
he
equa
tion
of
anha
rmon
ic s
yste
m in
a p
erio
dic
fiel
d
,
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