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- Title
CHAOTIC MAP WITH THE PROPERTY OF RECURRENCE.
- Authors
WANG, LIDONG; CHU, ZHENYAN; DUAN, XIAODONG
- 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.
- Subjects
CHAOS theory; NONLINEAR theories; QUANTUM chaos; TOPOLOGICAL entropy; SOCIAL history
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2007, Vol 21, Issue 15, p2711
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979207037296