On mixing property in set-valued discrete systems

被引：21

作者：

Gu, RB ^{[1
]}

Guo, WJ ^{[1
]}

机构：

[1] Nanjing Univ Finance & Econ, Sch Finance, Nanjing 210046, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2006年 / 28卷 / 03期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/j.chaos.2005.04.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (X, d) be a compact metric space and f : X -> X be a continuous map. Let (K(X),H) be the space of all nonempty compact subsets of X endowed with the Hausdorff metric induced by d and (f) over bar : K(X) -> K(X) be the map defined by f (A) : {f (a) : a E A}. In this paper we investigate the relationships between the mixing property of (K(X), (f) over bar) and the mixing property of (X,f). In addition, we discuss specification for the set-valued discrete dynamical system (K(X), (f) over bar). (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：747 / 754

页数：8

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