대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제52권1호
  • /
  • Pages.149-157
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  • 2015
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SHADOWABLE CHAIN COMPONENTS AND HYPERBOLICITY

  • Lee, Manseob (Department of Mathematics Mokwon University) ;
  • Lee, Seunghee (Department of Mathematics Chungnam National University) ;
  • Park, Junmi (Department of Mathematics Chungnam National University)
  • 투고 : 2013.11.25
  • 발행 : 2015.01.31
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초록

We show that $C^1$-generically, the shadowable chain component of a $C^1$-vector field containing a hyperbolic periodic orbit is hyperbolic if it is locally maximal.

키워드

참고문헌

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