Covering Relations and Non-autonomous Perturbations of ODEs

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dc.creatorCapinski, Maciej
dc.creatorZgliczynski, Piotr
dc.date2003-09-02
dc.date.accessioned2026-07-07T05:00:46Z
dc.date.available2026-07-07T05:00:46Z
dc.descriptionCovering 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0309034
dc.identifierhttp://arxiv.org/abs/math/0309034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68440
dc.subjectDynamical Systems
dc.subject34D10
dc.titleCovering Relations and Non-autonomous Perturbations of ODEs
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