Li–Yorke chaos of linear differential equations in a finite-dimensional space with a weak topology-Reference-Cited by-同舟云学术

Li–Yorke chaos of linear differential equations in a finite-dimensional space with a weak topology

Published:2023-08-01 Issue:8 Volume:33 Page:
ISSN:1054-1500
Container-title:Chaos: An Interdisciplinary Journal of Nonlinear Science
language:en
Short-container-title:

Author:

Zhang Xu¹^ORCID,Jiang Nan¹^ORCID,Yang Qigui²,Chen Guanrong³^ORCID

Affiliation:

1. Department of Mathematics, Shandong University 1 , Weihai, Shandong 264209, China

2. School of Mathematics, South China University of Technology 2 , Guangzhou, Guangdong 510640, China

3. Department of Electrical Engineering, City University of Hong Kong 3 , Hong Kong SAR, China

Abstract

Li–Yorke chaos of linear differential equations in a finite-dimensional space with a weak topology is introduced. Based on this topology on the Euclidean space, a flow generated from a linear differential equation is proved to be Li–Yorke chaotic under certain conditions, which is in sharp contract to the well-known fact that linear differential equations cannot be chaotic in a finite-dimensional space with a strong topology.

Funder

Shandong Provincial Natural Science Foundation, China

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/cha/article-pdf/doi/10.1063/5.0163463/18091538/081104_1_5.0163463.pdf

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