In this talk we state that linear dynamical systems having limit shadowing property

or average shadowing property are hyperbolic....

In this talk, we

investigate the relationships between asymptotic average shadowing property

in random orbits for non uniformly expanding maps on random orbits....

shadowing property then X is

Anosov. We also obtain similar result for asymptotic average shadowing property....

In this paper we show that if f is either a conservative average shadowing

stable or a conservative asymptotic average shadowing stable , then f admits a

dominated splitting....

In this paper, we introduce the definitions of shadowing and average shadowing properties for iterated

function systems and give some examples characterizing these definitions. We prove that an iterated

function system has...

In this short paper we show that generically if f is tame and non uniformly hyperbolic on the its periodic points, then averge shadowing property and hyperbolicity are equivalent.

In this paper, we study transitivity on the semigroup actions.

Indeed, we introduce two criteria, “entropy minimality” and “nonuniformly

expanding property”, to obtain transitivity

Abstract. The article is devoted to exhibit some general properties of strong

chain recurrent set and strong chain transitive components for a continuous

map f on a compact metric space X. We investigate the ...

In this paper we show that if X is a compact metric space and varphi : mathbb{R} times X to X is a flow and varphi is weak uniformly almost periodic with positively asymptotic average shadowing property, then varphi is strongly ergodic...