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arXiv · 1010.3688

Lipschitz shadowing implies structural stability

Sergei Yu. Pilyugin·Sergey Tikhomirov
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Abstract

We show that the Lipschitz shadowing property of a diffeomorphism is equivalent to structural stability. As a corollary, we show that an expansive diffeomorphism having the Lipschitz shadowing property is Anosov.

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Sergei Yu. Pilyugin, Sergey Tikhomirov. 2010-10-18. Lipschitz shadowing implies structural stability. https://doi.org/10.1088/0951-7715%2F23%2F10%2F009

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