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

被引：65

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

页码：1489 / 1500

页数：12