Chaos in hyperspace system

被引：19
|
作者：
Ma, Xianfeng [1 ]
Hou, Bingzhe [2 ]
Liao, Gongfu [2 ]
机构：
[1] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
[2] Jilin Univ, Inst Math, Changchun 130012, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 02期
关键词：
ZERO TOPOLOGICAL-ENTROPY; TRIANGULAR MAPS;
D O I：
10.1016/j.chaos.2007.08.009
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 continuous. Let (f) over bar be the natural extension of f to the space of all non-empty compact subsets of X endowed with the Hausdorff metric induced by d. In this paper. some dynamical properties of f and I are considered. It is shown that positive topological entropy, Li-Yorke chaos and distributional chaos of f imply those off, respectively, but not conversely. The results give art answer to the question proposed by Roman-Flores. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：653 / 660
页数：8
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