ANALYTIC NORMAL FORMS FOR CONVERGENT SADDLE-NODE VECTOR FIELDS

被引：3
作者：
Schaefke, Reinhard [1 ]
Teyssier, Loic [1 ]
机构：
[1] Lab IRMA, 7 Rue Ren Descartes, F-67084 Strasbourg, France
来源：
ANNALES DE L INSTITUT FOURIER | 2015年 / 65卷 / 03期
关键词：
Analytic vector fields; normal forms; singularities; effective methods in differential equations; DIFFERENTIAL-EQUATIONS; FOLIATIONS;
D O I：
10.5802/aif.2948
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give unique analytic "normal forms" for germs of a holomorphic vector field of the complex plane in the neighborhood of an isolated singularity of saddle-node type having a convergent formal separatrix. We specifically address the problem of computing the normal form explicitly.
引用
收藏
页码：933 / 974
页数：42
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