A generating partition for the standard map

Details A generating partition for the standard map A generating partition for the standard map

1994-11-09

arxiv.org/abs/chao-dyn/9411005v1

Nonlinear Sciences

Chaotic Dynamics

4 pages LaTeX (RevTeX style) with 4 figures in PostScript uuencoded and compressed by the uufiles script. The figures are not

Scientific paper

10.1103/PhysRevE.51.R3811

A procedure to obtain the symbolic dynamics for conservative dynamical systems is introduced with reference to the standard map in a strongly chaotic regime. The method extends an approach previously developed for highly dissipative systems. It is based on the construction of a generating partition from homoclinic tangencies and fibers of invariant manifolds. It is found that some arbitrariness in the construction of the partition is unavoidable.

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