In this talk we present the relationship of L_p shadowing and hypebolicity.

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...

Let M be a generalized homogeneous compact space, and let

Z(M) denotes the space of homeomorphisms of M with the C0 topology.

In this paper, we show that if the interior of the set of weak stable

hom ...

In [1] V. Glavan and V.Gutu presented a definition

for iterated function systems and showed that IFS with contract-

ing maps has the shadowing property. In this talk we give some

examples characterizing this definition. We prove...

In this short paper we show that if homeomorphism f on a compact

metric space X has the shadowing property and only one chain component,

then f is chaotic. As a corollary we show that generically f is chaotic....

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 a new notion, named controlled shadowing property and we relate it to some notions in dynamical systems such as topological ergodicity, topologically mixing and specification proper-

ties. The relation between...

We prove that if the chain recurrent set has more than one component then f does not have asymptotic average property.

In this paper we introduce the notions of strict persistence and weakly strict

persistence which are stronger than those of persistence and weak persistence, respectively,

and study their relations with shadowing property...