Affiliation:
1. Institute of Nolinear information technology, Dalian Nationalities University, Dalian 116600, P.R. China
Abstract
In this paper, we consider a continuous map f: X→X, where X is a compact metric space, and discuss the existence of a chaotic set of f specially (as X=[0,1]). We prove that f has a positively topological entropy if and only if it has an uncountably chaotic set in which each point is recurrent and is not weakly periodic.
Publisher
World Scientific Pub Co Pte Lt
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics
Reference14 articles.
1. Period Three Implies Chaos
2. An Introduction to Ergodic Theory
3. J. C. Xiong and Z. G. Yang, Shiraine, Ked Dynamical Systems and Related Topics Singapore (World Scientific, New York, 1992) p. 550.
Cited by
2 articles.
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