Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2013.11.25
  • Published : 2015.01.31
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Abstract

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.

Keywords

References

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