Khayyam Journal of Mathematics, Volume (7), No (1), Year (2021-1) , Pages (115-130)

Title : ( SOME REMARKS ON CHAOS IN NONAUTONOMOUS DYNAMICAL SYSTEMS )

Authors: mona effati , Ali Reza Zamani Bahabadi , Bahman Honari ,

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Abstract

We introduce the concept of almost thick chaos and continuously almost thick transitivity for continuous maps and nonautonomous dynamical systems (NDS). We show that NDS f1,∞ is sensitive if it is thick transitive and syndetic. Under certain conditions, we show that NDS (X, f1,∞) generated by a sequence (fn) of continuous maps on X converging uniformly to f is almost thick transitive if and only if (X, f) is almost thick transitive. Moreover, we prove that if f1,∞ is continuously almost thick transitive and syndetic, then it is strongly topologically ergodic. In addition, the relationship between the large deviations theorem and almost thick chaos is studied.

Keywords

, Nonautonomous dynamical systems, transitivity, sensitivity, chaos.
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@article{paperid:1090142,
author = {Effati, Mona and Zamani Bahabadi, Ali Reza and Honari, Bahman},
title = {SOME REMARKS ON CHAOS IN NONAUTONOMOUS DYNAMICAL SYSTEMS},
journal = {Khayyam Journal of Mathematics},
year = {2021},
volume = {7},
number = {1},
month = {January},
issn = {2423-4788},
pages = {115--130},
numpages = {15},
keywords = {Nonautonomous dynamical systems; transitivity; sensitivity; chaos.},
}

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%0 Journal Article
%T SOME REMARKS ON CHAOS IN NONAUTONOMOUS DYNAMICAL SYSTEMS
%A Effati, Mona
%A Zamani Bahabadi, Ali Reza
%A Honari, Bahman
%J Khayyam Journal of Mathematics
%@ 2423-4788
%D 2021

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