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Abstract and Applied Analysis
Volume 2015, Article ID 751769, 5 pages
Research Article

-Stably Limit Shadowing Diffeomorphisms

1Department of Mathematics, Mokwon University, Daejeon 302-729, Republic of Korea
2Department of Mathematics, Chungnam National University, Daejeon 305-764, Republic of Korea

Received 23 October 2014; Revised 27 January 2015; Accepted 27 January 2015

Academic Editor: Roberto Barrio

Copyright © 2015 Manseob Lee and Junmi Park. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.