Sensitivity for set-valued maps induced by M-systems

被引：7

作者：

Hou, Bingzhe ^{[1
]}

Liao, Gongfu ^{[1
]}

Liu, Heng ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2008年 / 38卷 / 04期

关键词：

D O I：

10.1016/j.chaos.2007.02.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider a continuous map f : X -> X and the continuous map (f) over bar of K(X) into itself induced by f, where X is a compact metric space without isolated points and K(X) is the space of all non-empty compact subsets of X endowed with a Hausdorff metric. In this paper, we discuss the sensitivity of the set valued maps induced by M-systems. In fact, we prove that if (X,f) is a non-minimal M-system, then (f) over bar is sensitive; and give an example to show the possibility that is sensitive when (X,f) is a, minimal but not weakly mixing, M-system, (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1075 / 1080

页数：6

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