| 一类三次系统无穷远点的中心条件 |
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| 引用本文： | 易学军,张瑞海.一类三次系统无穷远点的中心条件[J].湖南大学学报(自然科学版),2007,34(4):81-83. |
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| 作者姓名： | 易学军 张瑞海 |
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| 作者单位： | 1. 湖南大学,数学与计量经济学院,湖南,长沙,410082
2. 天津科技大学,理学院,天津,300222 |
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| 基金项目： | 国家社会科学基金资助项目(06BJL022) |
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| 摘 要： | 研究了一类三次系统无穷远点的中心条件.通过将实系统转化为复系统研究,给出了计算无穷远点奇点量的递推公式,并在计算机上用Mathematica软件推导出该系统无穷远点前7个无穷远点奇点量,进一步导出了无穷远点成为中心的条件.
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| 关 键 词： | 三次多项式系统 无穷远点 奇点量 中心条件 |
| 文章编号： | 1000-2472（2007）04-0081-03 |
| 修稿时间： | 2006-09-26 |
Center Conditions at the Infinity for a Class of Cubic System |
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| YI Xue-jun,ZHANG Rui-hai.Center Conditions at the Infinity for a Class of Cubic System[J].Journal of Hunan University(Naturnal Science),2007,34(4):81-83. |
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| Authors: | YI Xue-jun ZHANG Rui-hai |
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| Institution: | 1.College of Mathematics and Econometrics,Hun,an Univ,Changsha,Hunan 410082,China; 2. College of Science,Tianjin Univ of Science and Technology,Tianjin 300222 ,China |
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| Abstract: | This paper studied the center conditions at the equator for a class of cubic polynomial system with no singular point at the infinity.By converting the real planar system into the complex system,the recursion formula for the computation of singular point quantities were given,and,with computer algebra system Mathematica,the first 7 singular point quantities were deduced.At the same time,the conditions for the infinity to be a center were derived respectively. |
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| Keywords: | cubic polynomial system the infinity singular point quantity center condition |
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