A GENERALIZED LIPSCHITZ SHADOWING PROPERTY FOR FLOWS  

作　　者：韩波 Manseob LEE Bo HAN;Manseob LEE(LMIB of the Ministry of Education,School of Mathematical Sciences,Beihang University,Beijing,100191,China;Department of Marketing Big Data and Mathematics,Mokwon University,Daejeon,35349,Korea)

机构地区：[1]LMIB of the Ministry of Education,School of Mathematical Sciences,Beihang University,Beijing,100191,China [2]Department of Marketing Big Data and Mathematics,Mokwon University,Daejeon,35349,Korea

出　　处：《Acta Mathematica Scientia》2023年第1期259-288,共30页数学物理学报（B辑英文版）

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)。

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.

关 键 词：FLOW Perron property HYPERBOLICITY generalized Lipschitz shadowing property structural stability 

分 类 号：O17[理学—数学]