Measure expansivity for C1-conservative systems

被引：4

作者：

Ahn, Jiweon ^{[1
]}

Lee, Manseob ^{[2
]}

Oh, Jumi ^{[1
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Daejeon 305764, South Korea

[2] Mokwon Univ, Dept Math, Daejeon 302729, South Korea

来源：

CHAOS SOLITONS & FRACTALS | 2015年 / 81卷

基金：

新加坡国家研究基金会;

关键词：

Expansive; Measure expansive; Volume preserving diffeomorphisms; Divergence free vector fields; Anosov; STABILITY; DIFFEOMORPHISMS;

D O I：

10.1016/j.chaos.2015.10.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the notion of measure expansivity for volume preserving diffeomorphisms and divergence free vector fields. We prove that the following three theorems. (1) The C-1-interior of measure expansive volume preserving diffeomorphism is Anosov. (2) A C-1-generic volume preserving diffeomorphism is Anosov. (3) The C-1-interior of measure expansive divergence free vector field is Anosov. (C) 2015 Elsevier Ltd. All rights reseived,

引用

页码：400 / 405

页数：6

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