关于平面非多项式系统的无穷远行为  

Qualitative Analysis of Infinitely-distant Elements in Plane System of Non-polynomials

作　　者：李小玲[1] 胡广平[1] 

机构地区：[1]河西学院数学系,甘肃张掖734000

出　　处：《甘肃联合大学学报（自然科学版）》2006年第5期26-27,32,共3页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：运用Poincaré变换,平面多项式系统的无穷远点可变为一个具有有限坐标的点,从而其无穷远行为可知.在此基础上,将平面上的无穷远点看成是有限点的极限位置,研究了具有某种特殊性质的非多项式系统的无穷远行为,得出了对讨论无穷远点性态具有普遍意义的结论.In this paper,the authors study the quality of infinitely-distant elements for plane system of noi, polynomials with some necessary conditions, since the behavior of plane system of polynomials is attained by exert Poincar6 transform to this system. In addition, the authors provide a universal result.

关 键 词：Poincare变换 非多项式系统 无穷远点 

分 类 号：O175.13[理学—数学]