TAME DIFFEOMORPHISMS WITH C 1-STABLE PROPERTIES

Abstract

Let f be a diffeomorphisms of a compact C∞ In manifold, and let p be a hyperbolic periodic point of f . this paper, we prove that if generically, f is tame diffeomorphims then the following conditions are equivalent: (i) f is Ω-stable, (ii)f has the C 1-stable shadowing property (iii) f has the C 1-stable inverse shadowing property.

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