Open Access
2015 C2-Stably Limit Shadowing Diffeomorphisms
Manseob Lee, Junmi Park
Abstr. Appl. Anal. 2015: 1-5 (2015). DOI: 10.1155/2015/751769


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 (f) and if there is a dominated splitting on Ps(f), then f satisfies both Axiom A and the strong transversality condition.


Download Citation

Manseob Lee. Junmi Park. "C2-Stably Limit Shadowing Diffeomorphisms." Abstr. Appl. Anal. 2015 1 - 5, 2015.


Published: 2015
First available in Project Euclid: 15 April 2015

zbMATH: 1345.37019
MathSciNet: MR3316992
Digital Object Identifier: 10.1155/2015/751769

Rights: Copyright © 2015 Hindawi

Vol.2015 • 2015
Back to Top