| 中心-焦点型全三次系统参数化简与新矩阵法 |
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| 引用本文： | 万维明,迟晓恒.中心-焦点型全三次系统参数化简与新矩阵法[J].大连铁道学院学报,2004,25(4):8-10. |
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| 作者姓名： | 万维明 迟晓恒 |
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| 作者单位： | 大连交通大学数理系 辽宁 大连 116028
(万维明)，大连交通大学数理系 辽宁 大连 116028(迟晓恒) |
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| 摘 要： | 为简化中心一焦点型微分方程系统细焦点的计算，定义两种新的矩阵运算方法，采用可逆实对称矩阵变换，将中心一焦点型全三次系统化简到最多含有13个参数的系统，且缺少的项至少在齐二次项中发生，为进一步计算系统焦点量做准备．
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| 关 键 词： | 三次系统 中心 实对称矩阵 焦点量 细焦点 可逆 微分方程 化简 定义 简化 |
A New Algorithms and Matrix Simplification of A Center-Focus Cubic System |
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| WAN Wei- ming,CHI Xiao-heng.A New Algorithms and Matrix Simplification of A Center-Focus Cubic System[J].Journal of Dalian Railway Institute,2004,25(4):8-10. |
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| Authors: | WAN Wei- ming CHI Xiao-heng |
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| Abstract: | In order to simplify the calculation of week saddle system for center-focus differential equations, two new algorithms of the matrix are defined. These two algorithms simplify the cubic system of a center-focus type to a system containing less than 13 parameters. By using the real invertible symmetric matrix transformation, the missing term will be produced in the second order homogeneous term for the further preparation of focus values computation. |
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| Keywords: | fcenter focus matrix |
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