Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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DIFFEOMORPHISMS WITH ROBUSTLY AVERAGE SHADOWING

  • Lee, Keonhee (Department of Mathematics Chungnam University) ;
  • Lee, Manseob (Department of Mathematics Mokwon University) ;
  • Lu, Gang (Department of Mathematics Chungnam University)
  • Received : 2011.03.03
  • Accepted : 2011.10.10
  • Published : 2011.12.30
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Abstract

In this paper, we prove that for $C^1$ generically, if every hyperbolic periodic point in a chain component is uniformly far away from being nonhyperbolic, and it is $C^1$-robustly average shadowable, then the chain component is hyperbolic.

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Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

References

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