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Diffeomorphisms with the s -limit shadowing property.
- Source :
-
Dynamical Systems: An International Journal . Dec2012, Vol. 27 Issue 4, p403-410. 8p. - Publication Year :
- 2012
-
Abstract
- Let Diff(M) be the space of diffeomorphisms of a closed C ∞ manifold M endowed with the C 1-topology, and denote by ℛ(f) the chain recurrent set of f ∈ Diff(M). In this article, we show that C 1-generically f |ℛ(f) has the s-limit shadowing property if and only if f satisfies both Axiom A and no-cycle condition. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 14689367
- Volume :
- 27
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Dynamical Systems: An International Journal
- Publication Type :
- Academic Journal
- Accession number :
- 82372117
- Full Text :
- https://doi.org/10.1080/14689367.2012.691960