摘要
本文通过求出具有双纽线解y^2=x^2-1/4x^4的三次系统的奇点(0,0)的鞍点量,得出鞍点量与分界线环y^2=x^2-1/4x^4的稳定性及极限环分枝,并求出了可积条件及通积分。
In this paper, the author has studied the limit cycles bifurcation and thestability of separatrix cycle for a given class of cubic systems, and obtained therelation for its saddle values with respect to limit cycles bifurcation and the stability of separatrix cycle.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
1989年第3期29-33,共5页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
三次系统
鞍点量
极限环
saddle point value
limit cycle
separatrix cycle
