Volume no :4, Issue no: 1, January 2010

Journal of Mathematical Sciences: Advances and Applications

CHAIN TRANSITIVE SETS WITH DOMINATED SPLITTING

Author's: Manseob Lee
Pages: [201] - [208]
Received Date: October 21, 2009
Submitted by:

Abstract

Let M be a closed smooth manifold, and let f be a diffeomorphisms on M. In this paper, we show that generically, if has the stably shadowing property on a chain transitive set, then admits a dominated splitting.

Keywords

average shadowing, dominated splitting, chain transitive set, generic.