Induced Dynamics in Hyperspaces of Non-Autonomous Discrete Systems
Dynamical Systems
2018-05-22 v1
Abstract
In this paper, the interrelations of some dynamical properties of the non-autonomous dynamical system (X, f1;infinity) and its induced non-autonomous dynamical system (K(X), f1;infinity) are studied, where K(X) is the hyperspace of all non-empty compact subsets of X, endowed with Vietoris topology. Various stronger forms of sensitivity and transitivity are considered. Some examples of non-autonomous systems are provided to support the results. A relation between shadowing property of the non- autonomous system (X, f1;infinity) and its induced system (K(X), f1;infinity) is studied.
Keywords
Cite
@article{arxiv.1805.07623,
title = {Induced Dynamics in Hyperspaces of Non-Autonomous Discrete Systems},
author = {Radhika Vasisht and Ruchi Das},
journal= {arXiv preprint arXiv:1805.07623},
year = {2018}
}