-Stably Limit Shadowing Diffeomorphisms

Manseob Lee and Junmi Park

Abstract and Applied Analysis, 2015, vol. 2015, 1-5

Abstract:

Let be a diffeomorphism on a closed surface. In this paper, we show that if has the -stably limit shadowing property, then we have the following: (i) satisfies the Kupka-Smale condition; (ii) if is dense in the nonwandering set ( ) and if there is a dominated splitting on ( ), then satisfies both Axiom and the strong transversality condition.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:751769

DOI: 10.1155/2015/751769

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