Open Access
Article
Chain mixing and shadowing property in Iterated Function Systems
*Mehdi Fatehi NiaCorresponding authorfatehiniam@yazd.ac.irDepartment of MathematicsYazd UniversityYazd, Ro. Box 89195-741, IranView full profile →
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- Received:
- 14 Jun 2017
- Accepted:
- 19 Nov 2017
- Published Online:
- 30 Oct 2018
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2018.1436274
- Pages:
- 139–149
Abstract
In this paper we consider the chain mixing and shadowing properties for iterated function systems, (IFS). Some important results about shadowing property are extended to iterated function systems. We introduce some examples and investigate the relationship between the original shadowing property and shadowing property for IFS. This is proved that for every IFS with shadowing property chain mixing and topological mixing properties are equivalent.
Keywords
Subject Classifications
37C5037C15
References
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