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C2 DIFFEOMORPHISMS WITH THE INVERSE SHADOWING PROPERTY

  • Published : 2010.04.30
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Abstract

Let f be a $C^2$-diffeomorphism on a closed surface which satisfies the Axiom A. Then f is in the $C^2$-interior of the set of all diffeomorphisms having the inverse shadowing property with respect to the class of the continuous methods if and only if f satisfies the strong transversality condition.

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References

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