A Generalized Lipschitz Shadowing Property for Flows

被引：0

作者：

Han, Bo ^{[1
]}

Lee, Manseob ^{[2
]}

机构：

[1] Beihang Univ, Sch Math Sci, LMIB Minist Educ, Beijing 100191, Peoples R China

[2] Mokwon Univ, Dept Mkt Big Data & Math, Daejeon 35349, South Korea

来源：

ACTA MATHEMATICA SCIENTIA | 2023年 / 43卷 / 01期

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

flow; Perron property; hyperbolicity; generalized Lipschitz shadowing property; structural stability; STRUCTURAL STABILITY; EXPONENTIAL DICHOTOMIES; INVARIANT SPLITTINGS; DIFFEOMORPHISMS; EXISTENCE;

D O I：

10.1007/s10473-023-0115-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we define a generalized Lipschitz shadowing property for flows and prove that a flow phi generated by a C-1 vector 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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