Volume preserving diffeomorphisms with orbital shadowing

被引：8
|
作者：
Lee, Keonhee [1 ]
Lee, Manseob [2 ]
机构：
[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea
[2] Mokwon Univ, Dept Math, Taejon 302729, South Korea
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
基金：
新加坡国家研究基金会;
关键词：
normally hyperbolic; hyperbolic; orbital shadowing; shadowing; Anosov;
D O I：
10.1186/1029-242X-2013-18
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let f be a volume-preserving diffeomorphism of a closed C-infinity Riemannian manifold M. In this paper, we show that the following are equivalent: (a) f belongs to the C-1-interior of the set of volume-preserving diffeomorphisms with orbital shadowing, (b) f is Anosov.
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