Lipschitz shadowing implies structural stability

Resource
Nonlinearity, 23(10), 2509-2515
Journal
Nonlinearity
Pages
2509-2515
Date Issued
2010
Date
2010
Author(s)
Pilyugin, Sergei Yu
Tikhomirov, Sergey
DOI
URI
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. © 2010 IOP Publishing Ltd & London Mathematical Society.
Type
journal article
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