具有星形结点的平面N次系统的全局结构分析

Global analysis of structure on the plane N order system with a start shaped knot

本文研究平面N次系统x =x +Pn(x ,y) ,y =Qn(x ,y) ,这里Pn(x ,y) ,Qn(x ,y)为N次多项式齐式 ,讨论了有限远奇点、无限远奇点和直线解三者之间在复平面内的关系 .

The plane N order system X=X+Pn(x,y) and Y=Qn(x,y) are studied, where Pn(x,y) and Qn(x,y) are homogeneous polynomials of N order. The relationship among finite singular point, infinite singular point and linear solution in the complex plane is discussed.