On the uniqueness of limit cycles surrounding one or more singularities for Lienard equations

被引：62
|
作者：
Dumortier, F
Li, CZ
机构：
[1] BEIJING UNIV,DEPT MATH,BEIJING 100871,PEOPLES R CHINA
[2] BEIJING UNIV,INST MATH,BEIJING 100871,PEOPLES R CHINA
来源：
NONLINEARITY | 1996年 / 9卷 / 06期
关键词：
D O I：
10.1088/0951-7715/9/6/006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove a theorem on the uniqueness of limit cycles surrounding one or more singularities for Lienard equations. By using this theorem we give a positive answer to the conjecture in Dumortier and Rousseau (1990 Nonlinearity 3 1015-39), completing the classification of the cubic Lienard equations with linear damping. It also finishes the study of the generic three-parameter unfoldings of the nilpotent focus in the plane.
引用
收藏
页码：1489 / 1500
页数：12
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