A GENERALIZED LIPSCHITZ SHADOWING PROPERTY FOR FLOWS
A GENERALIZED LIPSCHITZ SHADOWING PROPERTY FOR FLOWS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.