How much information about a dynamical system do its recurrences contain?
Dynamical Systems
2007-07-04 v2
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.
Keywords
Cite
@article{arxiv.0706.4032,
title = {How much information about a dynamical system do its recurrences contain?},
author = {Geoffrey Robinson and Marco Thiel},
journal= {arXiv preprint arXiv:0706.4032},
year = {2007}
}