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

Geoffrey Robinson; Marco Thiel

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arXiv · 0706.4032

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

Geoffrey Robinson·Marco Thiel

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Abstract

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.

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Geoffrey Robinson, Marco Thiel. 2007-07-04. How much information about a dynamical system do its recurrences contain?. https://arxiv.org/abs/0706.4032

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