Open Access
Original Articles
Shadowing and Chaos
Alireza Zamani Bahabadibahabadi@math.um.ac.irDepartment of MathematicsFerdowsi University of MashhadMashhad, IranView full profile →
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- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2011.10698592
- Pages:
- 61–65
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.
Subject Classifications
: ChaosMinimalδ-pseudo-orbitShadowing property
References
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