LIMIT WEAK SHADOWABLE TRANSITIVE SETS OF C-1-GENERIC DIFFEOMORPHISMS

被引：3
|
作者：
Lee, Manseob [1 ]
Lu, Gang [2 ]
机构：
[1] Mokwon Univ, Dept Math, Daejeon 302729, South Korea
[2] ShenYang Univ Technol, Sch Sci, Dept Math, Shenyang 110178, Peoples R China
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2012年 / 27卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
weak shadowing; limit weak shadowing; transitive set; yperbolic generic;
D O I：
10.4134/CKMS.2012.27.3.613
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that locally maximal transitive set of a C-1-generic diffeomorphism is hyperbolic if and only if it is limit weak shadowable.
引用
收藏
页码：613 / 619
页数：7
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