一类特殊多项式系统的奇点量公式  

The Focus Value Formula of A Special Polynomial System

作　　者：赵梅春[1] 

机构地区：[1]广东金融学院应用数学系,广东广州510521

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2008年第3期318-320,共3页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：广东省自然科学基金资助项目(50033074);全国优秀博士学位论文基金资助项目(200521)

摘　　要：研究了一类特殊4次系统.通过将实平面系统转化为复系统,给出计算奇点量的递推公式.借助计算机用Mathematica导出该系统奇点的前15个奇点量公式,并进一步导出无穷远点成为中心的条件和高阶细焦点的条件.In the paper,a special polynomial system is studied. By converting the real planar system into complex system, the recursion formula for the computation of singular quantities is given, and, with Mathematica,the first 15 singular point quantities are deduced. Further,the conditions that the singular is a center and 15 degree fine focus are derived, respectively;

关 键 词：奇点量公式 中心焦点判定 特殊多项式系统 

分 类 号：O175.12[理学—数学]