一类3次多项式系统无穷远点的奇点量与中心条件  

Singular point quantities and center conditions at the infinity for a class of cubic polynomial system

作　　者：章丽娜[1] 潘雪军[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2008年第4期393-396,共4页Journal of Zhejiang Normal University:Natural Sciences

摘　　要：研究了一类三次多项式系统无穷远点的奇点量与中心条件,用一同胚变换将无穷远点转变成原点(初等奇点),用计算机代数系统Mathematica计算了这个多项式系统无穷远点的前18个奇点量,并得到了无穷远点的中心条件和18阶细焦点的条件.It was studied the center conditions at the equator of a class of cubic polynomial system with no singular point at the infinity based on the method of a homeomophic transformation of the infinity into the origin （ linear singular point）. The first 18 singular point quantities were computed by Mathematica. At the same time, the conditions for the infinity to be a center were derived respectively.

关 键 词：三次多项式 无穷远点 中心条件 奇点量 同胚变换 

分 类 号：O175.12[理学—数学]