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Shadowing and Chaos
- Source :
- Journal of Dynamical Systems and Geometric Theories. 9:61-65
- Publication Year :
- 2011
- Publisher :
- Taru Publications, 2011.
-
Abstract
- In this short paper we show that if homeomorphism f on a compact metric space X has the shadowing property and only one chain component, then f is ∑-chaotic. As a corollary we show that generically f is ∑-chaotic.
Details
- ISSN :
- 21690057 and 1726037X
- Volume :
- 9
- Database :
- OpenAIRE
- Journal :
- Journal of Dynamical Systems and Geometric Theories
- Accession number :
- edsair.doi...........dd55b27ca8480e3c6099b876f7d4d1b0