Aleksei Osipov
prosp. Gagarina, 23, korp. 4, 198504, St. Petersburg, Russian
Faculty of Mathematics and Mechanics, St. Petersburg State University
Publications:
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Osipov A. V., Pilyugin S. Y., Tikhomirov S. B.
Periodic shadowing and $\Omega$-stability
2010, vol. 15, nos. 2-3, pp. 404-417
Abstract
We show that the following three properties of a diffeomorphism $f$ of a smooth closed manifold are equivalent: (i) $f$ belongs to the $C^1$-interior of the set of diffeomorphisms having the periodic shadowing property; (ii) $f$ has the Lipschitz periodic shadowing property; (iii) $f$ is $\Omega$-stable.
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