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A generating partition for the standard map

Freddy Christiansen·Antonio Politi·Istituto Nazionale di Ottica·Firenze·Italy
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Abstract

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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Freddy Christiansen, Antonio Politi, Istituto Nazionale di Ottica, Firenze, Italy. 1994-11-09. A generating partition for the standard map. https://doi.org/10.1103/physreve.51.r3811

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