A GENERALIZED LIPSCHITZ SHADOWING PROPERTY FOR FLOWS

作     者：韩波 Manseob LEE Bo HAN;Manseob LEE

作者机构：LMIB of the Ministry of EducationSchool of Mathematical SciencesBeihang UniversityBeijing100191China Department of Marketing Big Data and MathematicsMokwon UniversityDaejeon35349Korea 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2023年第43卷第1期

页      面：259-288页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China(12071018) Fundamental Research Funds for the Central Universities supported by the National Research Foundation of Korea(NRF)funded by the Korea government(MIST)(2020R1F1A1A01051370) 

主　　题：flow Perron property hyperbolicity generalized Lipschitz shadowing property structural stability 

摘      要：In this paper,we define a generalized Lipschitz shadowing property for flows and prove that a flowΦgenerated 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.