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

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

2007-06-27

arxiv.org/abs/0706.4032v2

Mathematics

Dynamical Systems

9 pages, 0 figures

Scientific paper

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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