摘要
研究了二次系统dxdt=P2(x,y); dydt=Q2(x,y)的极限环的相对位置关系,证明了如果该系统除了存在两个稳定性相同的粗焦点外,还存在第三个有限远奇点,那么它的极限环只能集中分布在一个粗焦点外围.
In this paper,it studies the relative position of limit cycles of the quadratic differential systemdxdt=P2(x,y);dydt=Q2(x,y).Provided that system apart from two rough focus,has a third singular poins on the finite plane and the two rough focus ave the same stability.It proves that limit cycles of system can only be distributed around on of the two rough focus.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
2003年第1期18-22,共5页
Journal of Northeast Normal University(Natural Science Edition)
基金
吉林省科技发展计划项目(吉科合字第20000521号)
