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Far East Journal of Dynamical Systems

Abstract:
Consider the continuous map

and the continuous map

into itself induced by f, where X is a metric space and

is the space that consists of all nonempty compact subsets of X and that is endowed with the Hausdorff metric induced by the metric d of X. In this paper we investigate the relation between f and

in some dynamical properties, such as weak-mixing, mixing and chaos.

Keywords and phrases: set-valued map, weak-mixing, mixing, chaos.

Number of Downloads: 252 | Number of Views: 691

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P-ISSN: 0972-1118

E-ISSN: 3048-7897

Journal Stats

Publication count: 398

Citation count (Google Scholar): 899

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Downloads : 106782

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