Title : ( Pointwise Weakly Mixing Property and Li-Yorke Sensitivity in Nonautonomous Dynamical Systems )
Authors: mona effati , Ali Reza Zamani Bahabadi , Bahman Honari ,
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Abstract
In this paper we present novel concept of pointwise weakly mixing property (PWMP) for autonomous (ADS) and nonautonomous (NDS) dynam- ical systems. We show that if NDS (X; f1;1) has PWMP, then proximal cells are dense in X and in addition NDS is sensitive. Furthermore we conclude that NDS (X; f1;1) is Li-Yorke sensitive and also densely Li-Yorke chaotic with pointwise weakly mixing property.
Keywords
Nonautonomous dynamical systems; Weakly mixing; Sensitivity; Chaos
@article{paperid:1080999,
author = {Effati, Mona and Zamani Bahabadi, Ali Reza and Honari, Bahman},
title = {Pointwise Weakly Mixing Property and Li-Yorke Sensitivity in Nonautonomous Dynamical Systems},
journal = {Journal of Dynamical Systems and Geometric Theories},
year = {2020},
volume = {18},
number = {1},
month = {January},
issn = {1726-037X},
pages = {71--80},
numpages = {9},
keywords = {Nonautonomous dynamical systems; Weakly mixing; Sensitivity; Chaos},
}
%0 Journal Article
%T Pointwise Weakly Mixing Property and Li-Yorke Sensitivity in Nonautonomous Dynamical Systems
%A Effati, Mona
%A Zamani Bahabadi, Ali Reza
%A Honari, Bahman
%J Journal of Dynamical Systems and Geometric Theories
%@ 1726-037X
%D 2020
