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arXiv:1010.3688 [math.DS]AbstractReferencesReviewsResources

Lipschitz shadowing implies structural stability

Sergei Yu. Pilyugin, Sergey Tikhomirov

Published 2010-10-18Version 1

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.

Comments: 11 pages
Journal: Nonlinearity 23 (2010) 2509-2515
Categories: math.DS
Subjects: 34D30, 37C20, 03E75, 03E20
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