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 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 ...

‎In this paper we study on the stability of orbits for iterated function systems‎. ‎Precisely‎, ‎we prove that there exists a residual set $\\mathcal{R} \\subset \\mathcal{H} (X) \\times‎

‎\\mathcal{H} (X)$ such ...

In this paper, we show that every accessible diffeomorphism can be approximated

by stable non uniformly hyperbolic diffeomorphisms. As a corollary we

show that every partial hyperbolic diffeomorphism can be ...

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.

This paper is devoted to study some chaotic properties of iterated function systems

(IFSs). Specially, a new notion named thick chaotic IFSs is introduced. The relationship

between thick chaos and another ...

هذلولوی بودن یکی از ویژگیهای مهم در سیستمهای دینامیکی است. یک سیستم هذلولوی یک سیستم پایدار است. به این معنا که با تغییرات کوچک تغییر چندانی در دینامیک سیستم ایجاد نمی شود. در سیستمهای هذلولوی نقاط تناوبی هذلولوی هستند. ...

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. ...

‎In this paper we show that if $X$ is in the $C^1$-interior of the set of $\\mu$-measure expansive divergence free vector fields‎, ‎then $X$ admits a dominated splitting‎. ‎We also show that in dimension 3‎, ‎the above ...

n this paper we show that if $\\\\\\\\Lambda\\\\\\\\subset M$ is a closed invariant set and $p\\\\\\\\in\\\\\\\\Lambda$ is a hyperbolic saddle periodic point satisfying condition $A$ with real and positive eigenvalues‎, ...