Topological horseshoes-Reference-Cited by-同舟云学术

Topological horseshoes

Published:2001-02-15 Issue:6 Volume:353 Page:2513-2530
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Kennedy Judy,Yorke James

Abstract

When does a continuous map have chaotic dynamics in a set Q Q ? More specifically, when does it factor over a shift on M M symbols? This paper is an attempt to clarify some of the issues when there is no hyperbolicity assumed. We find that the key is to define a “crossing number” for that set Q Q . If that number is M M and M > 1 M>1 , then Q Q contains a compact invariant set which factors over a shift on M M symbols.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2001-353-06/S0002-9947-01-02586-7/S0002-9947-01-02586-7.pdf

Reference9 articles.

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