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| 一类平面多项式微分系统赤道环量的代数递推公式 | |
| 引用本文： | 陈海波,刘一戎,曾宪武. 一类平面多项式微分系统赤道环量的代数递推公式[J]. 数学学报, 2005, 48(5): 963-972. DOI: cnki:ISSN:0583-1431.0.2005-05-017 |
| 作者姓名： | 陈海波 刘一戎 曾宪武 |
| 作者单位： | [1]武汉大学数学学院,武汉430072 [2]中南大学数学学院,长沙410075 |
| 摘 要： | 本文研究一类形式相当一般的平面多项式系统赤道环量(Gauss球面的无穷远点奇点量)的计算,建立了系统赤道环量计算的简明的线性代数递推公式.应用递推公式计算赤道环量,只需用系统系数做四则运算,避免了通常计算赤道环量需要的复杂的积分运算和解方程,极易用计算机代数系统作符号推导并且不含舍入误差. |
| 关 键 词： | 平面微分系统 赤道环量 递推公式 |
| 文章编号： | 0583-1431（2005）05-0963-10 |
| 收稿时间： | 2004-04-22 |
| 修稿时间： | 2004-04-222004-09-02 |
Algebraic Recursion Formulas for Quantities of Equator in a Planar Polynomial Differential System |
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| Chen HaiBo;Liu YiRong;Ceng XianWu. Algebraic Recursion Formulas for Quantities of Equator in a Planar Polynomial Differential System[J]. Acta Mathematica Sinica, 2005, 48(5): 963-972. DOI: cnki:ISSN:0583-1431.0.2005-05-017 | |
| Authors: | Chen HaiBo Liu YiRong Ceng XianWu |
| Affiliation: | Hai Bo CHEN Mathematics School of Wuhan University, Wuhan 430072, P. R. China Mathematics School of Central South University, Changsha 410075, P. R. China Yi Rong LIU Mathematics School of Central South University, Changsha 410075, P. R. China Xian Wu ZENG Mathematics School of Wuhan University, Wuhan 430072, P. R. China |
| Abstract: | In this paper, we study the computation of quantities of equator (singular point quantities of infinity at Gauss sphere) in a class of planar polynomial differential system with a general form. Two linear recursion formulas for computation of quantities of equator are obtained. To compute quantities of equator with these recursion formulas, we only need to force addition, substraction, multiplication and division to the coefficients of the system, then avoid complex integrating operations and solving equations. It is symbolic and easy to realize without errors with computer algebra system. |
| Keywords: | Planar differential system Quantity of equator Recursion formulas |
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