Linear Li-Yorke Chaos in a Finite-Dimensional Space with Weak Topology

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Article number2150219
Journal / PublicationInternational Journal of Bifurcation and Chaos
Volume31
Issue number14
Publication statusPublished - Nov 2021

Abstract

It is well known that a finite-dimensional linear system cannot be chaotic. In this article, by introducing a weak topology into a two-dimensional Euclidean space, it shows that Li-Yorke chaos can be generated by a linear map, where the weak topology is induced by a linear functional. Some examples of linear systems are presented, some are chaotic while some others regular. Consequently, several open problems are posted.

Research Area(s)

  • Finite-dimensional space, Li-Yorke chaos, linear system, weak topology