Topological entropy bounds for hyperbolic plateaus of the Hénon map

Details Topological entropy bounds for hyperbolic plateaus of the Hénon map Topological entropy bounds for hyperbolic plateaus of the Hénon map

2010-01-24

arxiv.org/abs/1001.4211v1

Mathematics

Dynamical Systems

17 pages, 9 figures. Work done primarily at Cornell University

Scientific paper

We describe an automated method for computing rigorous lower bounds for topological entropy which was originally introduced in [Day et al., 2008]. We combine this method with the work of Zin Arai in [Arai, 2007] to find rigorous lower bounds on topological entropy for 43 hyperbolic plateaus of the H\'enon map. We also examine 15 area-preserving plateaus and compare our results with related work.

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