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
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页码：405 / 414
页数：10
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