International Journal of Dynamical Systems and Differential Equations, Volume (9), No (2), Year (2019-1) , Pages (203-212)

Title : ( Ergodic shadowing of non-autonomous discrete-time dynamical systems )

Authors: hadi parham , Fateme Helen Ghane Ostadghassemi , Esmaeel Reza Ali ,

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Abstract

The present work is concerned with the ergodic shadowing property of non-autonomous discrete-time dynamical systems. The concept of the ergodic shadowing was introduced by Fakhari and Ghane (2010) for a continuous onto map. Here, we will generalise the notion of ergodic shadowing to non-autonomous discrete-time dynamical systems. We show that every uniformly equicontinuous non-autonomous discrete-time system with the ordinary shadowing and topologically mixing properties enjoys the ergodic shadowing property. Moreover, we define some kind of specification property and investigate its relation to the ergodic shadowing property. Finally, we prove that every uniformly expanding non-autonomous discrete-time system satisfies the ergodic shadowing property.

Keywords

, non, autonomous dynamical systems; ergodic shadowing; pseudo orbital specification.
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@article{paperid:1075125,
author = {Parham, Hadi and Ghane Ostadghassemi, Fateme Helen and Reza Ali, Esmaeel},
title = {Ergodic shadowing of non-autonomous discrete-time dynamical systems},
journal = {International Journal of Dynamical Systems and Differential Equations},
year = {2019},
volume = {9},
number = {2},
month = {January},
issn = {1752-3583},
pages = {203--212},
numpages = {9},
keywords = {non-autonomous dynamical systems; ergodic shadowing; pseudo orbital specification.},
}

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%0 Journal Article
%T Ergodic shadowing of non-autonomous discrete-time dynamical systems
%A Parham, Hadi
%A Ghane Ostadghassemi, Fateme Helen
%A Reza Ali, Esmaeel
%J International Journal of Dynamical Systems and Differential Equations
%@ 1752-3583
%D 2019

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