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Research Article | Open Access

Transitivity and sensitivity for the p-periodic discrete system via Furstenberg families

Xiaofang Yang1,2, Tianxiu Lu1( ), Waseem Anwar3( )
College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Key Laboratory of Higher Education of Sichuan Province for Enterprise Informationalization and Internet of Things, Zigong 643000, China
School of Mathematical Science, Sichuan Normal University, Chengdu 610068, China
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Abstract

The consistency and implication relation of chaotic properties of p-periodic discrete system and its induced autonomous discrete system are obtained. The chaotic properties discussed involve several types of transitivity and some stronger forms of sensitivity in the sense of Furstenberg families.

Keywords

p-periodic discrete systemFurstenberg familiestransitivitysensitivitymixing
CLC number: 37B45, 37B55, 54H20

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AIMS Mathematics
Volume 7 Issue 1,
January 2022
Pages 1321-1332
DOI: 10.3934/math.2022078

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Cite this article:
Yang X, Lu T, Anwar W. Transitivity and sensitivity for the p-periodic discrete system via Furstenberg families. AIMS Mathematics, 2022, 7(1): 1321-1332. https://doi.org/10.3934/math.2022078

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Received: 25 August 2021
Accepted: 13 October 2021
Published: 15 January 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)