| 一类共振微分系统的可积条件 |
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| 引用本文： | 吴海涛,王勤龙.一类共振微分系统的可积条件[J].桂林电子科技大学学报,2009,29(2). |
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| 作者姓名： | 吴海涛 王勤龙 |
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| 作者单位： | 1. 桂林电子科技大学数学与计算科学学院,广西桂林,541004;长江大学信息与数学学院,湖北,荆州,434023
2. 长江大学信息与数学学院,湖北,荆州,434023 |
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| 基金项目： | 广西区研究生创新计划项目 |
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| 摘 要： | 基于常微分方程的可积性,研究了一类共振微分系统的可积条件,给出了计算广义奇点量的代数公式算法,该算法很容易用计算机代数系统来实现.通过计算该系统奇点量的代数递推公式,可以得出该系统前20个奇点量的表达式,继而推导出系统可积的一个充分必要条件.
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| 关 键 词： | 广义焦点量 推导公式 共振系统 |
Integrability Conditions for a Class Resonance Differential Systems |
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| WU Hai-tao,WANG Qin-long.Integrability Conditions for a Class Resonance Differential Systems[J].Journal of Guilin Institute of Electronic Technology,2009,29(2). |
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| Authors: | WU Hai-tao WANG Qin-long |
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| Affiliation: | 1.School of Mathematics and Computational Sciences;Guilin University of Electronic Technology;Guilin 541004;China;2.School of Information and Mathematics;Yangtze University;Jingzhou 434023;China |
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| Abstract: | Based on integrability of differential equation,the integrability of a class resonance differential systems is studied.Algebraic recursive formulas for computing generalized singular point quantities are given and the algebraic is easy to realize with computer algebraic system.Firstly,the first 20th singular point values are given by algebraic recursive formulas for computing generalized singular point quantities.Then,a necessary and sufficient condition for systems integrability is derived. |
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| Keywords: | generalized focus quantities recursion formulas resonant systems |
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