Positive entropy through pointwise dynamics-Reference-Cited by-同舟云学术

Positive entropy through pointwise dynamics

Published:2019-07-30 Issue:1 Volume:148 Page:263-271
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Arbieto A.,Rego E.

Abstract

We define some pointwise properties of topological dynamical systems and give pointwise conditions to guarantee the positiveness of the topological entropy of such a system. We also give sufficient conditions to obtain positive topological entropy for maps which are approximated by maps with the shadowing property in a uniform way.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2020-148-01/S0002-9939-2019-14682-7/proc14682_AM.pdf

Reference15 articles.

1. North-Holland Mathematical Library;Aoki, N.,1994

2. 𝑛-expansive homeomorphisms with the shadowing property;Carvalho, B.;J. Differential Equations,2016

3. Studies in Nonlinearity;Devaney, Robert L.,2003

4. A note on the uniform limit of transitive dynamical systems;Fedeli, Alessandro;Bull. Belg. Math. Soc. Simon Stevin,2009

5. Properties of shadowable points: chaos and equicontinuity;Kawaguchi, Noriaki;Bull. Braz. Math. Soc. (N.S.),2017

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