Omega chaos and the specification property

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:448

Article

Hunter, Reeve¹  Raines, Brian E.² 

[1] Univ Georgia, Dept Math, Athens, GA 30602 USA

[2] Baylor Univ, Dept Math, Waco, TX 76798 USA

关键词: Chaotic system;    Periodic point;    Shift map;    Symbolic dynamics;    Specification property;    Omega chaos;   

DOI  :  10.1016/j.jmaa.2016.11.037

来源: Elsevier

【 摘 要 】

In this short paper we consider the connections between the specification property introduced by Bowen and omega-chaos introduced by Li. We show that if f : X -> X is a continuous surjection of a compact metric space with the specification property and uniform expansion near a fixed point then the system (X, f) is omega-chaotic. Published by Elsevier Inc.

【 授权许可】

Free