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CHAOTIC MAP WITH THE PROPERTY OF RECURRENCE.
- Source :
- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics; 6/10/2007, Vol. 21 Issue 15, p2711-2721, 11p
- Publication Year :
- 2007
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- CHAOS theory
NONLINEAR theories
QUANTUM chaos
TOPOLOGICAL entropy
SOCIAL history
Subjects
Details
- Language :
- English
- ISSN :
- 02179792
- Volume :
- 21
- Issue :
- 15
- Database :
- Complementary Index
- Journal :
- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics
- Publication Type :
- Academic Journal
- Accession number :
- 25654572
- Full Text :
- https://doi.org/10.1142/S0217979207037296