Holonomy and Equivalence of Analytic Foliations

被引：0
|
作者：
Chaves, Francisco [1 ]
机构：
[1] Univ Haute Alsace, IRIMAS, 6 Rue Freres Lumiere, F-68093 Mulhouse, France
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2022年 / 28卷 / 04期
关键词：
Holonomy; Foliation; Analytic classification; Vector fields;
D O I：
10.1007/s10883-021-09549-y
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The main goal of this paper is the analytic classification of the germs of singular foliations generated, up to an analytic change of coordinates, by the germs of vector fields of form the x partial derivative(x) + Sigma(n)(i=1) a(i)(x, z)partial derivative(zi), where a(i)(x, z) is a germ of analytic function with a(i)(x, 0) = 0. We prove, under some hypothesis, that these germs of singular foliations are analytically classified once their local holonomy along a given separatrix is analytically conjugated.
引用
收藏
页码：771 / 790
页数：20
相关论文
共 50 条
12345