Affiliation:
1. Department of Mathematics, University of Delhi, Delhi, India
Abstract
In this paper, the interrelations of some dynamical properties of a
non-autonomous dynamical system (X, f1, ?) and its induced non-autonomous
dynamical system (K(X), f1, ?) 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, ?) and its
induced system (K(X), f1, ?) is studied.
Publisher
National Library of Serbia
Cited by
5 articles.
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