[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2022.35.2.171

A NOTE ON TOPOLOGICAL PROPERTIES IN MULTI-VALUED DYNAMICAL SYSTEMS

Cho, Chihyun (Korea Research Institute of Standards and Science)
Chu, Hahng-Yun (Department of Mathematics, Chungnam National University)
Kang, No-Weon (Korea Research Institute of Standards and Science)
Kim, Myoung-Jung (Daejeon Science High School For the Gifted)

Publication Information

Journal of the Chungcheong Mathematical Society / v.35, no.2, 2022 , pp. 171-176 More about this Journal

Abstract

In this article, we investigate the transitivity and chain transitivity on multi-valued dynamical systems. For compact-valued continuous dynamics, we prove that the notion of transitivity is expressed by the notions of the shadowing property and chain transitivity under locally maximal condition.

Keywords

multi-valued dynamical systems; transitivity; chain transitivity; shadowing property;

Citations & Related Records

Reference

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