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
收藏
页码：747 / 754
页数：8
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