摘要
用定性分析的方法,证明了具有两条三次代数曲线解y2=(ax3+bx)2的平面三次系统无极限环,但可以有奇闭轨。
In this paper,nonexistence of limit cycle for the c ubic system in plane with two cubic algebric curve solutions y2=(ax3+bx)2 was proved by qualitative analysis method,however,the singular closed orbit can exist in some cases.
出处
《山东科技大学学报(自然科学版)》
CAS
2000年第4期14-17,共4页
Journal of Shandong University of Science and Technology(Natural Science)
关键词
三次系统
三次代数曲线解
极限环
奇点
奇闭轨
cubic system
cubic algebric curve solution
limit c ycle
singularpoint