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학술저널

DIFFEOMORPHISMS WITH ROBUSTLY AVERAGE SHADOWING

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In this paper, we prove that for C1 generically, if ev-ery hyperbolic periodic point in a chain component is uniformly far away from being nonhyperbolic, and it is C1-robustly average shadowable, then the chain component is hyperbolic.

1. Introduction

2. Proof of the Theorem A

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