摘要
本文证明了二次系统不存在椭圆分界线环,而三次系统不仅可以存在含一个鞍点的椭圆分界线环,而且还可以存在含两个鞍点的椭圆分界线环。并举出具体例子,这是二次系统与三次系统在轨线结构上的又一个重要区别。
This paper proves that the quadratic differential system hes no ellipse separatrix cycles while the cubic differential system has ellipse separatrix cycles which can pass through not only one saddle point but also two saddle points.And the provides the concrete examples separately.This is the one of important distinctions of structures of trajectories between the quadratic differential systems and cubic differential systems.
出处
《辽宁师范大学学报（自然科学版）》
CAS
1989年第4期1-7,共7页
Journal of Liaoning Normal University:Natural Science Edition
关键词
椭圆分界线环
鞍点
奇点
细焦点
ellipse separatrix cycle
Liaponov form singular point
fine focus
particular direction
