SHADOWING PROPERTY FOR INDUCED SET-VALUED DYNAMICAL SYSTEMS OF SOME EXPANSIVE MAPS

被引：0

作者：

Wu, Yuhu ^{[1
,2
]}

Xue, Xiaoping ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R China

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2010年 / 19卷 / 3-4期

关键词：

pseudo-orbit; shadowing property; induced set-valued map; expansive maps; ball expansive maps;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the shadowing property for induced set-valued dynamical systems of some expansive maps We show that if f is a positively expansive open map, then the induced map F has shadowing property We introduce the notion of ball expansive maps, and show that such maps have shadowing property

引用

页码：405 / 414

页数：10

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