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ISSN: 1558-6359 (Online)
Research Article Open Access

Some Kinds of Distributional Chaos for Non-Autonomous Discrete Systems

Yongxi Jiang1, Tianxiu Luand2 and Xiaofang Yang1
  • 1 Sichuan University of Science and Engineering, China
  • 2 Key Laboratory of Higher Education of Sichuan Province for Enterprise Informationalization and Inter, China

Abstract

In this study, several kinds of distributional chaos are defined in a non-autonomous discrete system and the chaotic behavior of the mapping sequence fn, ∞ = (fn, fn+1···), ∀n ∈ N (N is a set of natural numbers) is studied. Then, the uniform distributional chaos and maximal distributional chaos of the compound system deduced by f1, ∞ are discussed

Journal of Mathematics and Statistics
Volume 17 No. 1, 2021, 73-81

DOI: https://doi.org/10.3844/jmssp.2021.73.81

Submitted On: 10 May 2021 Published On: 4 November 2021

How to Cite: Jiang, Y., Luand, T. & Yang, X. (2021). Some Kinds of Distributional Chaos for Non-Autonomous Discrete Systems. Journal of Mathematics and Statistics, 17(1), 73-81. https://doi.org/10.3844/jmssp.2021.73.81

Open AccessCopyright: © 2021 Yongxi Jiang, Tianxiu Luand and Xiaofang Yang. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Non-Autonomous Discrete Systems
  • Distributional Chaos
  • Compound System