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On chaos for iterated function systems

Published:2018-08 Issue:04 Volume:11 Page:1850054
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Bahabadi Alireza Zamani¹

Affiliation:

1. Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

Abstract

This paper is devoted to study some chaotic properties of iterated function systems (IFSs). Specially, a new notion named thick chaotic IFSs is introduced. The relationship between thick chaos and another properties of some notions in dynamical systems are studied.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557118500547

Reference17 articles.

1. Chaotic Properties of Mappings on a Probability Space

2. Topological entropy

3. Interval maps, factors of maps, and chaos

4. On Devaney's Definition of Chaos

5. Entropies of a semigroup of maps

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hypercyclic operators for iterated function systems;Hacettepe Journal of Mathematics and Statistics;2020-12-31

2. Transitivity and sensitivity of iterated function systems via Furstenberg families;Aequationes mathematicae;2020-10-06

3. Distributional chaos in random dynamical systems;Journal of Difference Equations and Applications;2019-02-27

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