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 show that any robustly ergodic system admits a dominated splitting without

using pasting lemma for conservative diffeomorphisms...

‎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 result would be Anosov...

, then orbital shadowing points are residual. Finally, we consider C1-interior SD conservative diffeomorphisms and we will show that they have a dominated splitting....

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 show that if f is either a conservative average shadowing

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

dominated splitting....