A GENERALIZED LIPSCHITZ SHADOWING PROPERTY FOR FLOWS

被引：0
|
作者：
韩波 [1 ]
Manseob LEE [2 ]
机构：
[1] LMIB of the Ministry of Education,School of Mathematical Sciences,Beihang University
[2] Department of Marketing Big Data and Mathematics,Mokwon University
来源：
Acta Mathematica Scientia | 2023年 / 43卷 / 01期
基金：
中国国家自然科学基金; 新加坡国家研究基金会;
关键词：
flow; Perron property; hyperbolicity; generalized Lipschitz shadowing property; structural stability;
D O I：
暂无
中图分类号：
O186.12 [黎曼几何];
学科分类号：
070104 ;
摘要：
In this paper,we define a generalized Lipschitz shadowing property for flows and prove that a flow Φ generated by a C1vector field X on a closed Riemannian manifold M has this generalized Lipschitz shadowing property if and only if it is structurally stable.
引用
收藏
页码：259 / 288
页数：30
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