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Symbolic dynamics, counting perodic orbits and chaos Periodic orbits of period-p

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Page 1: Periodic orbits of period-p

Symbolic dynamics, counting perodic orbits and chaos

Periodic orbits of period-p

Page 2: Periodic orbits of period-p
Page 3: Periodic orbits of period-p
Page 4: Periodic orbits of period-p
Page 5: Periodic orbits of period-p

Two orbits of shift map with close initial conditions

Shift map is chaotic. All period-p orbits are unstable.

Page 6: Periodic orbits of period-p

Shift map and logistic map

Page 7: Periodic orbits of period-p

Orbits are jumbled ....


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