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Research Article | Open Access

Some stronger forms of mean sensitivity

Quanquan Yao1, Yuanlin Chen2, Peiyong Zhu1( ), Tianxiu Lu2( )
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China
College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
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Abstract

The equivalence between multi-transitive mean sensitivity and multi-transitive mean n-sensitivity for linear dynamical systems was demonstrated in this study. Furthermore, this paper presented examples that highlighted the disparities among mean sensitivity, multi-transitive mean sensitivity, and syndetically multi-transitive mean sensitivity.

Keywords

backward shiftmulti-transitive mean n-sensitivitymulti-transitive mean sensitivity
CLC number: 37B45, 37B55, 54H20

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AIMS Mathematics
Volume 9 Issue 1,
January 2024
Pages 1103-1115
DOI: 10.3934/math.2024054

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Cite this article:
Yao Q, Chen Y, Zhu P, et al. Some stronger forms of mean sensitivity. AIMS Mathematics, 2024, 9(1): 1103-1115. https://doi.org/10.3934/math.2024054

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Received: 29 August 2023
Revised: 21 November 2023
Accepted: 28 November 2023
Published: 15 January 2024
©2024 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)