On C1 classifications of hyperbolic vector fields

被引：3

作者：

Ren, ZH ^{[1
]}

Yang, JZ ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 284卷 / 01期

关键词：

conjugacy; linearization; resonant normal form; vector fields; C-1; classification;

D O I：

10.1016/S0022-247X(03)00262-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study smooth classification of hyperbolic vector fields based on their linear approximations only and obtain the following. On R-n , n less than or equal to 5, with only two kinds of exceptions, any two hyperbolic vector fields with generic nonlinear parts x = A(1)x + (. . .) and y = A(1)y + (. . .), where A(i) are n x n matrices, are C-1 conjugate to each other if and only if A(1) and A(2) are strictly similar, and they are C-1 orbitally equivalent if and only if A(1) and A(2) are similar. (C) 2003 Elsevier Inc. All fights reserved.

引用

页码：118 / 126

页数：9

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