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arXiv · 1805.07623

Induced Dynamics in Hyperspaces of Non-Autonomous Discrete Systems

Radhika Vasisht·Ruchi Das
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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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Radhika Vasisht, Ruchi Das. 2018-05-19. Induced Dynamics in Hyperspaces of Non-Autonomous Discrete Systems. https://arxiv.org/abs/1805.07623

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