A Devaney Chaotic System Which Is Neither Distributively nor Topologically Chaotic

Authors

  • Zhizhi Chen
  • Li Liao
  • Wei Wang

Keywords:

Devaney chaos, distributional chaos, topological entropy.

Abstract

Weiss proved that Devaney chaos does not imply topological chaos and Oprocha pointed out that Devaney chaos does not imply distributional chaos. In this paper, by constructing a simple example which is Devaney chaotic but neither distributively nor topologically chaotic, we give a unified proof for the results of Weiss and Oprocha.

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Published

2021-05-19

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Issue

Vol. 29 No. 2 (2013)

Section

Articles

How to Cite

A Devaney Chaotic System Which Is Neither Distributively nor Topologically Chaotic. (2021). Communications in Mathematical Research, 29(2), 148-154. https://www.global-sci.com/index.php/cmr/article/view/8765