A generating partition for the standard map
chao-dyn
2009-10-22 v1 Chaotic Dynamics
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.
Cite
@article{arxiv.chao-dyn/9411005,
title = {A generating partition for the standard map},
author = {Freddy Christiansen and Antonio Politi and Istituto Nazionale di Ottica and Firenze and Italy},
journal= {arXiv preprint arXiv:chao-dyn/9411005},
year = {2009}
}
Comments
4 pages LaTeX (RevTeX style) with 4 figures in PostScript uuencoded and compressed by the uufiles script. The figures are not lettered; if you want a copy of the originals please write to [email protected]