SHADOWING,EXPANSIVENESS AND SPECIFICATION FOR C~1-CONSERVATIVE SYSTEMS

被引：0

作者：

Mario BESSA ^{[1
]}

Manseob LEE ^{[2
]}

文晓 ^{[3
]}

机构：

[1] Universidade da Beira Interior,Rua Marques d'Avila e Bolama

[2] Department of Mathematics,Mokwon University

[3] The School of Mathematics and Systems Science,Beihang University

来源：

Acta Mathematica Scientia | 2015年 / 35卷 / 03期

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

Shadowing; expansiveness; specification; generic; Anosov; volume-preserving; star systems;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

We prove that a C~1-generic volume-preserving dynamical system(diffeomorphism or flow) has the shadowing property or is expansive or has the weak specification property if and only if it is Anosov.Finally,as in[10,27],we prove that the C~1-robustness,within the volume-preserving context,of the expansiveness property and the weak specification property,imply that the dynamical system(diffeomorphism or flow) is Anosov.

引用

页码：583 / 600

页数：18

共 25 条

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