C2 DIFFEOMORPHISMS WITH THE INVERSE SHADOWING PROPERTY

Title & Authors
C2 DIFFEOMORPHISMS WITH THE INVERSE SHADOWING PROPERTY
Lee, Man-Seob;

Abstract
Let f be a $\small{C^2}$-diffeomorphism on a closed surface which satisfies the Axiom A. Then f is in the $\small{C^2}$-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.
Keywords
Language
English
Cited by
1.
C2-stably inverse shadowing diffeomorphisms, Dynamical Systems, 2011, 26, 2, 161
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