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Generating partition for the standard map

Freddy Christiansen and Antonio Politi
Phys. Rev. E 51, R3811(R) – Published 1 May 1995
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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.

  • Received 21 February 1995

DOI:https://doi.org/10.1103/PhysRevE.51.R3811

©1995 American Physical Society

Authors & Affiliations

Freddy Christiansen

  • Istituto Nazionale di Ottica, I-50125 Firenze, Italy

Antonio Politi

  • Istituto Nazionale di Ottica, I-50125 Firenze, Italy
  • Sezione di Firenze, Istituto Nazionale di Fisica Nucleare, I-50125 Firenze, Italy

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Issue

Vol. 51, Iss. 5 — May 1995

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