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A NOTE ON TOPOLOGICAL PROPERTIES IN MULTI-VALUED DYNAMICAL SYSTEMS

  • Received : 2022.04.23
  • Accepted : 2022.04.24
  • Published : 2022.05.15

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

Acknowledgement

This work was supported by research fund of Chungnam National University.

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