UNIFORM PSEUDO-ORBIT TRACING PROPERTY AND ORBIT STABILITY

作     者：顾荣宝 Gu Rongbao (Anhui University)

作者机构：安徽大学230039 

出 版 物：《Annals of Differential Equations》 (微分方程年刊（英文版）)

年 卷 期：1997年第13卷第4期

页      面：350-359页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：compact metric space continuous map UPOTP orbit stable 

摘      要：In this paper we introduce the concept of uniform pseudo-orbit tracing property for continuous self-maps of compact metric spaces and discuss its generic property and its relationship to the orbit stability. For self-homeomorphisms of compact manifold of dimension≥2, we show that the uniform pseudo-orbit tracing property is equivalent to the orbit stability.