摘要
利用多项式代数方程的判别系统理论和结式理论,讨论了具有星形结点的一类对称四次系统的代数分类,并对系统进行全局分析。值得指出的是,这一方法适用于具有星形结点的一般多项式微分系统。
By complete discrimination system of polynomial algebraic equation and resultant theory, a symmetry class of quartie systems with stellar node is studied. An algebraic classification of the systems is given, and the global phase portraits of systems are studied. It is worth pointing out that this method can be applied to a kind of polynomial systems with stellar nodes.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2005年第4期9-12,共4页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金资助项目(10371135)
关键词
奇点
星形结点
多项式微分系统
相图
singular point
stellar node
polynomial differential systems
phase portrait
