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학술저널

TAME DIFFEOMORPHISMS WITH C1-STABLE PROPERTIES

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Let f be a di??eomorphisms of a compact C1 manifold, and let p be a hyperbolic periodic point of f. In this paper, we prove that if generically, f is tame di??eomor- phims then the following conditions are equivalent: (i) f is­-stable, (ii)f has the C1-stable shadowing property (iii) f has the C1-stable inverse shadowing property.

1. Introduction

2. Proof of the Theorem

References

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