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,
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页码：400 / 405
页数：6
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