摘要
本文给出了拟二次系统的前18个奇点量和可积性条件,由此统一解决了几类实平面微分自治系统的初奇点、高次奇点以及无穷远点的中心焦点判定与极限环分枝问题.
In this paper, the first 18 values of singular point for quasi quadratic systems are obtained, for some kinds of real planar autonomous differential systems, the problems of determining center or focus and bifurcation of limit cysles for elementary critical point, higher critical point and infinite point are solved.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2002年第4期671-682,共12页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目(10071016)
关键词
拟二次系统
广义焦点量
结点量
极限环分枝
Quasi quadratic system
Generalized focal values
Values of node
Bifurcation of limit cysles