충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제26권4호
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  • Pages.821-829
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  • 2013
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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ROBUSTLY CHAIN TRANSITIVE SETS WITH SHADOWING

  • Lee, Manseob (Department of Mathematics Mokwon University) ;
  • Park, Junmi (Department of Mathematics Chungnam National University)
  • 투고 : 2013.08.30
  • 심사 : 2013.10.28
  • 발행 : 2013.11.15
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초록

Let f be a diffeomorphism of a closed $C^{\infty}$ manifold M, and let ${\Lambda}{\subset}M$ be a closed f-invariant set. We show that if $f{\mid}_{\Lambda}$ is robustly chain transitive with shadowing, then ${\Lambda}$ is the hyperbolic homoclinic class.

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참고문헌

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