Stably asymptotic average shadowing property and dominated splitting

摘要

Let f be a diffeomorphism of a closed n-dimensional C ∞ manifold. In this article, we show that C1-generically, if f has the C1-stably asymptotic average shadowing property on a closed set then it admits a dominated splitting. Mathematical Subject Classification: 34D05; 37C20; 37D30.