충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제17권2호
  • /
  • Pages.137-145
  • /
  • 2004
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

WEAK INVERSE SHADOWING AND Ω-STABILITY

  • Zhang, Yong (Department of Mathematics Suzhou University) ;
  • Choi, Taeyoung (Department of Mathematics Chungnam National University)
  • 투고 : 2004.06.16
  • 발행 : 2004.10.31
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초록

We give characterization of ${\Omega}$-stable diffeomorphisms via the notions of weak inverse shadowing. More precisely, it is proved that the $C^1$ interior of the set of diffeomorphisms with the weak inverse shadowing property with respect to the class $\mathcal{T}_h$ coincides with the set of ${\Omega}$-stable diffeomorphisms.

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