Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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DIFFEOMORPHISMS WITH THE STABLY ASYMPTOTIC AVERAGE SHADOWING PROPERTY

  • Lee, Manseob (Department of Mathematics Mokwon University)
  • Received : 2010.05.10
  • Accepted : 2010.09.03
  • Published : 2010.12.30
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Abstract

Let p be a hyperbolic periodic point of f, and let ${\Lambda}(p)$ be a closed set which containing p. In this paper, we show that $C^1$-generically, if $f{\mid}_{{\Lambda}(p)}$ has the $C^1$-stably asymptotic average shadowing property, then it admits a dominated splitting.

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References

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