Lipschitz shadowing implies structural stability

Details Lipschitz shadowing implies structural stability Lipschitz shadowing implies structural stability

2010-10-18

arxiv.org/abs/1010.3688v1

Nonlinearity 23 (2010) 2509-2515

Mathematics

Dynamical Systems

11 pages

Scientific paper

10.1088/0951-7715/23/10/009

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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