How much information about a dynamical system do its recurrences contain?

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We show that, under suitable assumptions, Poincare recurrences of a dynamical system determine its topology in phase space. Therefore, dynamical systems with the same recurrences are topologically equivalent.
9 pages, 0 figures

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Dynamical Systems, 11B37

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http://salesiana.dossiersoluciones.com/handle/123456789/132853

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.4032
 http://arxiv.org/abs/0706.4032

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arXiv