| 一类四次多项式系统高次奇点的奇点量与可积性 |
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| 引用本文： | 李慧丽,黄婷,李海珍.一类四次多项式系统高次奇点的奇点量与可积性[J].桂林电子科技大学学报,2011,31(4):326-328. |
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| 作者姓名： | 李慧丽 黄婷 李海珍 |
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| 作者单位： | 桂林电子科技大学数学与计算科学学院,广西桂林,541004 |
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| 基金项目： | 广西区研究生创新计划项目(2010105950701M30) |
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| 摘 要： | 通过把高次奇点转化为初等奇点的方法,对一类四次系统高次奇点的奇点量与可积性进行了研究.通过计算该系统奇点量的代数递推公式,得到该系统在原点的前30个奇点量,推导出系统在原点邻域可积的必要条件,并证明了其充分性.
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| 关 键 词： | 四次多项式 高次奇点 初等奇点 奇点量 可积性 |
Generalized singular point quantity and integrability of the degenerate resonant singular point of a quartic polynomial system |
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| Li Huili,Huang Ting,Li Haizhen.Generalized singular point quantity and integrability of the degenerate resonant singular point of a quartic polynomial system[J].Journal of Guilin Institute of Electronic Technology,2011,31(4):326-328. |
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| Authors: | Li Huili Huang Ting Li Haizhen |
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| Affiliation: | Li Huili,Huang Ting,Li Haizhen(School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China) |
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| Abstract: | Generalized singular point quantity and integrability of the degenerate resonant singular point for a quartic polynomial system were studied.Firstly,algebraic recursive formulas for computing singular point quantities of the origin are derived.The first 30th singular point values are given by using compute algebra mathematica.Then the necessary conditions for the integrability were worked out.At last,the sufficiencies of these conditions were proved. |
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| Keywords: | quartic polynomial degenerate resonant singular point elementary singular point singular point value integrability |
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