충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제29권1호
  • /
  • Pages.171-176
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  • 2016
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지
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SHADOWING PROPERTY ON MULTI-VALUED DYNAMICAL SYSTEMS

  • Chu, Hahng-Yun (Department of Mathematics, Chungnam National University) ;
  • Ku, Se-Hyun (Department of Mathematics, Chungnam University) ;
  • Park, Jong-Suh (Department of Mathematics, Chungnam University)
  • 투고 : 2016.01.19
  • 심사 : 2016.02.05
  • 발행 : 2016.02.15
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초록

In this article, we study various notions on multi-valued dynamical systems. We first investigate important tools to express the systems, and prove that the notion of chain recurrence is equivalent to the notion of nonwandering set on compact metric spaces.

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과제정보

연구 과제 주관 기관 : National Institute of Mathematics Sciences(NIMS)

참고문헌

  1. E. Akin, The General Topology of Dynamical Systems, Graduate Studies in Mathematics, Amer. Math. Soc. Providence, 71, 1993.
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  3. H.-Y. Chu and J.-S. Park, Attractors for relations in $\sigma$-compact spaces, Topology Appl. 148 (2005), 201-212. https://doi.org/10.1016/j.topol.2003.05.009
  4. C. Conley, Isolated Invariant sets and the Morse Index C.M.B.S., Amer. Math. Soc. Providence, 38 1978.
  5. T. Kaczynski and M. Mrozek, Conley index for discrete multi-valued dynamical systems, Topology Appl. 65 (1995), 83-96. https://doi.org/10.1016/0166-8641(94)00088-K
  6. R. McGehee, Attractors for closed relations on compact Hausdorff space, Indiana Univ. Math. J. 41 (1992), 1165-1209. https://doi.org/10.1512/iumj.1992.41.41058