Year: 2010
Type: article
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.
Source: Nonlinearity
Authors: Sergei Yu Pilyugin, Sergey Tikhomirov
Institutions: St Petersburg University, National Taiwan University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: National Science Council
OpenAlex ID: W2086310102