Induced Dynamics in Hyperspaces of Non-Autonomous Discrete Systems

2018/05/19 by Vasisht, Radhika, Das, Ruchi
#54B20 #Dynamical Systems (math.DS) #FOS: Mathematics #Primary 54H20 #Secondary 37B55

paper · doi:10.48550/arxiv.1805.07623

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.

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