| 一类多项式系统无穷远点的中心-焦点判定 |
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| 引用本文： | 岳海涛,唐明田.一类多项式系统无穷远点的中心-焦点判定[J].南方冶金学院学报,2010,31(1):78-80. |
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| 作者姓名： | 岳海涛 唐明田 |
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| 作者单位： | [1]济宁职业技术学院,山东济宁272037 [2]江西理工大学理学院,江西赣州341000 |
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| 摘 要： | 研究了一类十一次多项式微分系统无穷远点的中心-焦点判定问题.首先通过同胚变换和复变换将系统的无穷远点化为复域中的初等原点,然后在计算机上用Mathematica推导出了新系统原点的前15个奇点量,从而导出了无穷远点为中心和最高阶细焦点的条件.
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| 关 键 词： | 无穷远点 奇点量 焦点量 中心一焦点判定 十一次系统 |
Determination of Center-focus at Infinity for a Class of Polynomial System |
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| YUE Hai-tao,TANG Ming-tian.Determination of Center-focus at Infinity for a Class of Polynomial System[J].Journal of Southern Institute of Metallurgy,2010,31(1):78-80. |
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| Authors: | YUE Hai-tao TANG Ming-tian |
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| Affiliation: | 1.Jining Vocational Technology College/a>;Jining 272037/a>;China/a>;2.Faculty of Science/a>;Jiangxi University of Science and Technology/a>;Ganzhou 341000/a>;China |
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| Abstract: | In this paper,determination of center-focus at infinity for a class of eleven degree polynomial difierential systemis in vestigated.Firstly,infinityis transformed intoan elementary origin of a complex system by a homeomorphic transformation and a complex transformation.With the help of Mathematica,the first 15 singular point quantities at the origin ofthe transformed systemare deduced.Therefore,the conditions for infinity to be a center and highest order fine focus are obtained. |
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| Keywords: | lnfinity singular point quantity focal value center-focus determination eleven degree system |
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