Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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DYNAMICS OF RANDOM DYNAMICAL SYSTEMS

  • Enkhbayar Azjargal (Department of Mathematics Mongolian National University of Education) ;
  • Zorigt Choinkhor (Department of Mathematics Mongolian National University of Education) ;
  • Nyamdavaa Tsegmid (Department of Mathematics Mongolian National University of Education)
  • Received : 2022.08.29
  • Accepted : 2023.01.27
  • Published : 2023.07.31
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Abstract

In this paper, we introduce the concept of ω-expansive of random map on compact metric spaces 𝓟. Also we introduce the definitions of positively, negatively shadowing property and shadowing property for two-sided RDS. Then we show that if 𝜑 is ω-expansive and has the shadowing property for ω, then 𝜑 is topologically stable for ω.

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Acknowledgement

The authors thank the anonymous reviewers for their helpful suggestions. This work has been supported by Mongolian National University of Education.

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