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학술저널

ROBUSTLY CHAIN TRANSITIVE SETS WITH SHADOWING

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Let f be a di??eomorphism of a closed C1 manifold M; and let ¤ ½ M be a closed f-invariant set. We show that if fj¤ is robustly chain transitive with shadowing, then ¤ is the hyperbolic homoclinic class.

1. Introduction

2. Proof of Theorem 1.2

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