C2‐Stably Limit Shadowing Diffeomorphisms

Manseob Lee and Junmi Park

Abstract and Applied Analysis, 2015, vol. 2015, issue 1

Abstract: Let f be a diffeomorphism on a C∞ closed surface. In this paper, we show that if f has the C2‐stably limit shadowing property, then we have the following: (i) f satisfies the Kupka‐Smale condition; (ii) if P(f) is dense in the nonwandering set Ω(f) and if there is a dominated splitting on Ps(f), then f satisfies both Axiom A and the strong transversality condition.

Date: 2015
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https://doi.org/10.1155/2015/751769

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:751769

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