Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
Mona Effati, Alireza Zamani Bahabadi, Bahman Honary
In this paper: In this paper we present novel concept of pointwise weakly mixing property (PWMP) for autonomous (ADS) and nonautonomous (NDS) dynamical systems. We show that if NDS (X, f1,∞) has PWMP, then proximal...
Alireza Zamani Bahabadi
In this paper: 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.
Alireza Zamani Bahabadi
In this paper: 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...
Alireza Zamani Bahabadi
In this paper: In this paper we show that if X is a compact metric space and φ : ℝ × X → X is a flow and φ is weak uniformly almost periodic with positively asymptotic average shadowing property, then φ is strongly...
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