摘要
研究二次微分系统 (Ⅱ )类方程 x =- y +δx +mxy - y2 , y =x(1+ax)的极限环的存在性问题 .运用分支方法 ,分析了未扰系统的同宿轨破裂以后稳定流形和不稳定流形之间的距离 .
The author considered the existence problem of limit cycles of the type (Ⅱ) equation =-y+δx+mxy-y 2, =x(1+ax) of quadratic differential systems. The bifurcation method was used to analyze the distance between the stable manifold and the unstable manifold after the homoclinic orbit of the unperturbed system was perturbed to break. The conditions were given to ensure the generation of at least one and two limit cycles.
出处
《曲阜师范大学学报（自然科学版）》
CAS
2002年第3期27-30,共4页
Journal of Qufu Normal University(Natural Science)
