충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제25권2호
  • /
  • Pages.235-239
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  • 2012
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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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LIMIT SHADOWING WITH $C^0$ TRANSVERSALITY CONDITION

  • Lee, Keonhee (Department of Mathematics Chungnam University) ;
  • Lee, Manseob (Department of Mathematics Mokwon University) ;
  • Park, Junmi (Department of Mathematics Chungnam National University)
  • 발행 : 2012.05.15
⟨ 이전 논문 다음 논문 ⟩

초록

Let $f$ be an Axiom A difeomorphism of a closed 2- dimensional smooth manifold M: We show that $f$ has the limit shadowing property if and only if $f$ satisfies the $C^0$ transversality condition.

키워드

참고문헌

  1. K. Lee, Hyperbolic sets with the strong limit shadowing property, J. of Inequal. Appl. 6 (2001), 507-517.
  2. S. Y. Pilyugin, Shadowing in Dynamical Systems, Lecture Notes Math. 1706, Springer, Berline 1999.
  3. S. Y. Pilyugin, Sets of dynamical systems with various limit shadowing properties, J. Dyn. and Differ. Equat. 19 (2007), 747-775. https://doi.org/10.1007/s10884-007-9073-2
  4. S. Y. Pilyugin and K. Sakai, $C^0$ transversality and shadowing properties, Proc. of the Stek. Inst. Math., 256 (2007), 290-305. https://doi.org/10.1134/S0081543807010178

피인용 문헌

  1. C2-Stably Limit Shadowing Diffeomorphisms vol.2015, 2015, https://doi.org/10.1155/2015/751769