Tajbakhsh, Khosro

[ 1 ] - LIMIT AVERAGE SHADOWING AND DOMINATED SPLITTING

In this paper the notion of limit average shadowing property is introduced for diffeomorphisms on a compact smooth manifold M and a class of diffeomorphisms is given which has the limit average shadowing property, but does not have the shadowing property. Moreover, we prove that for a closed f-invariant set Lambda  of a diffeomorphism f, if Lambda is C1-stably limit average shadowing and t...