一类五次多项式系统的奇点量与中心条件  

Singular point and center conditions for a quintic polynomial system

作　　者：潘雪军[1] 章丽娜[1] 

机构地区：[1]浙江师范大学数理信息学院,浙江金华321004

出　　处：《桂林电子科技大学学报》2008年第3期244-247,共4页Journal of Guilin University of Electronic Technology

摘　　要：研究一类五次多项式系统的奇点量与中心条件,首先由原点的奇点量研究开始,通过一同胚变换将无穷远点转变成原点(初等奇点),再用计算机代数系统Mathem atica计算了这个多项式系统原点的前6个奇点量,和无穷远点前12个奇点量,最终得到了原点和无穷远点的中心条件。Studied in this paper are singular quantities and center conditions for a class of quintic polynomial system. First, singular quantities at the origin of the system are discussed. Then by means of the transformation, the study of the infinity can be changed into the origin of the system. With Mathematica, the first 6 singular quantities at the origin and the first 12 singular quantities at the infinity are deduced. At the same time, the center conditions of the origin and the infinity are derived.

关 键 词：五次多项式 原点 无穷远点 中心条件 奇点量 

分 类 号：O175.12[理学—数学]