Covering Relations and Non-autonomous Perturbations of ODEs

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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 Rössler equations to show that for small perturbation they posses symbolic dynamics.
16 pages

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Dynamical Systems, 34D10

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http://salesiana.dossiersoluciones.com/handle/123456789/68440

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309034
 http://arxiv.org/abs/math/0309034

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arXiv