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h–Average-Shadowing Property and Chaos
Mehdi Fatehi Niafatehiniam@yazd.ac.irDepartment of MathematicsYazd UniversityYazd, 89195-741, IranView full profile →
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- Received:
- 30 Apr 2013
- Accepted:
- 29 May 2013
- Published Online:
- 04 Dec 2013
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2013.823806
- Pages:
- 39–49
Abstract
Let X be a compact metric space and f : X → X be a homeomorphism map. In this paper we are going to introduce the h-average shadowing property for discrete dynamical system (X, f). It is shown that f has the h–average shadowing property if and only if f−1 has the h–average shadowing property. We also prove that if f has the h-average shadowing property, then every point x is chain recurrent. The relation between chaos and shadowing property in discrete dynamical system is considered.
Keywords
Subject Classifications
: 37C5037C15
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