충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제32권4호
  • /
  • Pages.453-459
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  • 2019
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  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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DESCRIPTION OF FLOWS NEAR CLOSED SETS WITH COMPACT BOUNDARY

  • Koo, Ki-Shik (Department of Computer and Information Security Daejeon University)
  • 투고 : 2018.06.07
  • 심사 : 2019.10.15
  • 발행 : 2019.11.15
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초록

In this paper, we analyze the behaviour of flows near closed sets with compact boundary which contains no semi-orbits. Also, we give a condition that a closed invariant set is to be asymptotically stable.

키워드

참고문헌

  1. N. Aoki, Topological Dynamics, Elsevier Sci. Pub., Tokyo, 1989.
  2. N. Bhatia and G. Szego, Dynamical Systems: Stability Theory and Applications, Springer-Verlag, Berlin, 1967.
  3. R. Knight, Unstable Weak Attractors, Proc. Amer. Math. Soc., 86 (1982), 586-590. https://doi.org/10.1090/S0002-9939-1982-0674085-0
  4. R. Knight, Zubov's Condition Revisited, Proc. Edinburgh Math. Soc., 26 (1983), 247-253. https://doi.org/10.1017/S0013091500016953
  5. K. Koo, On the flows near closed sets, Natural Sci., 23 (2012), 169-173.
  6. K. Koo, Characterization of flows near closed sets, J. Chungcheong Math. Soc., 29 (2016), 23-28. https://doi.org/10.14403/jcms.2016.29.1.23