一类四次系统的极限环分枝(英文)

Bifurcation of Limit Cycles for a Class of Quartic System

研究一类四次系统的极限环分枝问题.通过奇点量的计算,得出该系统可以分枝出15个极限环.证明过程是代数与符号的.就三个不同细焦点分枝出极限环的结论来说,该结果是好的.

In this paper,the bifurcation of limit cycles for a quartic polynomial system is investigated.By the computation of the singular point values,it is proved that the system has 15 small amplitude limit cycles.The process of the proof is algebraic and symbolic.As far as the number of limit cycles bifurcated from 3 fine focal points of quartic system is concerned,the result is good.