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

页码：259 / 288

页数：30

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