包围多个奇点的极限环的不存在性与唯二性  

EXISTENCE OF AT MOST TWO LIMIT CYCLES SURROUNDING MULTIPLE SINGULAR POINTS

作　　者：韩茂安[1] 

机构地区：[1]上海交通大学应用数学系,上海200030

出　　处：《应用数学学报》1998年第2期206-214,共9页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金;山东省基金

摘　　要：本文给出一类非线性方程没有及至多有两个包围三个奇点的极限环的若干条件。In this paper sufficient conditions for a nonlinear equation to have at most two limit cycles surrounding three singular points are given. As an application, bifurcations of limit cycles of several polynomial systems are studied.

关 键 词：非线性 极限环 奇点 多项式系统 存在性 分支 

分 类 号：O175.12[理学—数学]