齐四次系统鞍点量公式

Formula of Center-Weak Saddle for Generalized Quartic Homogeneous System

讨论了一般齐四次系统的鞍点量问题.通过计算,给出了该系统前二阶鞍点量的公式与各参数之间的关系,以便求出一些特殊四次系统的鞍点量,并希望通过它能解决齐四次系统鞍点量上界问题.最后给出一个特殊四次系统的例子求出前三阶鞍点量.

Center-weak saddle of quartic homogeneous system is discussed to obtain the saddle of some special quartic systems,the relationship between the first three saddles and paramaters is demonstrated through calculation to solve the superior saddle of the quartic homogeneous system.A specific sample of quartic system is given and the first,second and third weak saddles are determined.