Diffeomorphisms with the M0-shadowing Property

被引：7
|
作者：
Zhang, Xu [1 ]
Wu, Xin Xing [2 ,3 ]
机构：
[1] Shandong Univ, Dept Math, Weihai 264209, Peoples R China
[2] Southwest Petr Univ, Sch Sci, Chengdu 610500, Sichuan, Peoples R China
[3] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2019年 / 35卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Anosov diffeomorphism; average shadowing property; M-alpha-shadowing; AVERAGE-SHADOWING PROPERTY; LEMMA;
D O I：
10.1007/s10114-019-8510-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the M-0-shadowing property for the dynamics of diffeomorphisms defined on closed manifolds. The C-1 interior of the set of all two dimensional diffeomorphisms with the M-0-shadowing property is described by the set of all Anosov diffeomorphisms. The C-1-stably M-0-shadowing property on a non-trivial transitive set implies the diffeomorphism has a dominated splitting.
引用
收藏
页码：1760 / 1770
页数：11
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