Diffeomorphisms with C1-stably average shadowing

Authors
Lee, Manseob Wen, Xiao
Citation
Lee, Manseob et Wen, Xiao, Diffeomorphisms with C1-stably average shadowing, Acta mathematica Sinica. English series (Print) , 29(1), 2013, pp. 85-92
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
1
Year of publication
2013
Pages
85 - 92
Database
ACNP
SICI code
Abstract
Let M be a closed smooth manifold M, and let f: M . M be a diffeomorphism. In this paper, we consider a nontrivial transitive set . of f. We show that if f has the C 1-stably average shadowing property on ., then . admits a dominated splitting.