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On Mixing Property in Set-valued Discrete Systems by Rongbao Gu; Wenjing Guo is a Physics and Astronomy article available to read on EtoBox.

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Let (X, d) be a compact metric space and f : X ! X be a continuous map. Let (KðX Þ; H Þ be the space of all nonempty compact subsets of X endowed with the Hausdorff metric induced by d and f : KðX Þ ! KðX Þ be the map defined by f ðAÞ : ff ðaÞ : a 2 Ag. In this paper we investigate the relationships between the mixing property of ðKðX Þ; f Þ and the mixing property of (X, f). In addition, we discuss specification for the set-valued discrete dynamical system ðKðX Þ; f Þ.

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Author

Rongbao Gu; Wenjing Guo

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0960-0779)

Published

2006

Language

EN

Field

Physics and Astronomy (Physical Sciences)