Covering Relations and Non-autonomous Perturbations of ODEs
Dynamical Systems
2007-05-23 v1
Abstract
Covering relations are a topological tool for detecting periodic orbits, symbolic dynamics and chaotic behavior for autonomous ODE. We extend the method of the covering relations onto systems with a time dependent perturbation. As an example we apply the method to non-autonomous perturbations of the R\"{o}ssler equations to show that for small perturbation they posses symbolic dynamics.
Keywords
Cite
@article{arxiv.math/0309034,
title = {Covering Relations and Non-autonomous Perturbations of ODEs},
author = {Maciej Capinski and Piotr Zgliczynski},
journal= {arXiv preprint arXiv:math/0309034},
year = {2007}
}
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16 pages