Li-Yorke chaos for invertible mappings on noncompact spaces

被引：5
|
作者：
Hou, Bingzhe [1 ]
Luo, Lvlin [1 ]
机构：
[1] Jilin Univ, Coll Math, Changchun, Peoples R China
来源：
TURKISH JOURNAL OF MATHEMATICS | 2016年 / 40卷 / 02期
关键词：
Invertible dynamical systems; Li-Yorke chaos; noncompact spaces; topological conjugacy; LINEAR-OPERATORS;
D O I：
10.3906/mat-1504-11
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give two examples to show that an invertible mapping being Li-Yorke chaotic does not imply its inverse being Li-Yorke chaotic, in which one is an invertible bounded linear operator on an infinite dimensional Hilbert space and the other is a homeomorphism on the unit open disk. Moreover, we use the last example to prove that Li-Yorke chaos is not preserved under topological conjugacy.
引用
收藏
页码：411 / 416
页数：6
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