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C2-Stably Limit Shadowing Diffeomorphisms.
- Source :
-
Abstract & Applied Analysis . 2/17/2015, Vol. 2015, p1-5. 5p. - Publication Year :
- 2015
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10853375
- Volume :
- 2015
- Database :
- Academic Search Index
- Journal :
- Abstract & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 109206046
- Full Text :
- https://doi.org/10.1155/2015/751769