Classification of C^1 Diffeomorphisms of the Real Line Under C^1 Conjugacy  

作　　者：章梅荣 

机构地区：[1]Department of Applied Mathematics, Tsinghua University, Beijing 100084 PRC

出　　处：《Chinese Science Bulletin》1993年第14期1145-1149,共5页

基　　金：Project supported by the Natural Science Foundation of Tsinghua University

摘　　要：This note will give some classification results for local and global C^1 diffeomorphisms of R under C^1 conjugacy. For γ=1, 2,…, ∞, ω, let D~γ(0)={f: R→R is C~γ; f’(x)】0, x∈R; and f has 0 asits unique fixed point} (local diffeomorphisms of R). In Refs. [1] and [2], we have considered the existence of smooth embedding flows and the other related problems for f∈D~γ(0). As a result, we prove that the following classifications have some numerical invariants

关 键 词：SMOOTH CONJUGACY SMOOTH LINEARIZATION EMBEDDING flow. 

分 类 号：N[自然科学总论]