Kragujevac Journal of Mathematics, Volume (46), No (3), Year (2022-1) , Pages (383-394)

Title : ( CHAOS AND SHADOWING IN GENERAL SYSTEMS )

Authors: mehdi Fatehinia , Ali Reza Zamani Bahabadi ,

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Abstract

In this paper we describe some basic notions of topological dynamical systems for maps of type f : X × X ! X named general systems. This is proved that every uniformly expansive general system has the shadowing property and every uniformly contractive general system has the (asymptotic) average shadowing and shadowing properties. In the rest, Devaney chaos for general systems is considered. Also, we show that topological transitivity and density of periodic points of a general systems imply topological ergodicity. We also obtain some results on the topological mixing and sensitivity for general systems

Keywords

, Chaos, general system, shadowing, transitive.
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@article{paperid:1080998,
author = {Mehdi Fatehinia and Zamani Bahabadi, Ali Reza},
title = {CHAOS AND SHADOWING IN GENERAL SYSTEMS},
journal = {Kragujevac Journal of Mathematics},
year = {2022},
volume = {46},
number = {3},
month = {January},
issn = {1450-9628},
pages = {383--394},
numpages = {11},
keywords = {Chaos; general system; shadowing; transitive.},
}

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%0 Journal Article
%T CHAOS AND SHADOWING IN GENERAL SYSTEMS
%A Mehdi Fatehinia
%A Zamani Bahabadi, Ali Reza
%J Kragujevac Journal of Mathematics
%@ 1450-9628
%D 2022

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