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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
【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.
【Abstract】 In this paper,the authors study the quality of infinitely-distant elements for plane system of non-polynomials with some necessary conditions,since the behavior of plane system of polynomials is attained by exert Poincaré transform to this system.In addition,the authors provide a universal result.
【关键词】 Poincaré变换;
非多项式系统;
无穷远点;
【Key words】 Poincaré transform; plan system of non-polynomials; infinitely-distant element;
【Key words】 Poincaré transform; plan system of non-polynomials; infinitely-distant element;
- 【文献出处】 甘肃联合大学学报(自然科学版) ,Journal of Gansu Lianhe University(Natural Science Edition) , 编辑部邮箱 ,2006年05期
- 【分类号】O175.12
- 【下载频次】20