| 一类时间可逆三次微分系统的代数条件 |
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| 引用本文： | 桑波,刘文健,朱思铭.一类时间可逆三次微分系统的代数条件[J].数学年刊A辑(中文版),2011,32(3):283-288. |
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| 作者姓名： | 桑波 刘文健 朱思铭 |
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| 作者单位： | 聊城大学数学科学学院;中山大学数学与计算科学学院; |
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| 基金项目： | 国家自然科学基金(No.10871214)资助的项目 |
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| 摘 要： | 作者曾给出时间可逆微分系统代数条件推导的算法,并给出了一类时间可逆三次微分系统的系数条件,但其中含有一个实参数.为了消去这个参数,这里使用具有投影性质的三角序列和标准基等消元手段,得到了不含参数的完整代数条件.
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| 关 键 词： | 三次系统 时间可逆系统 标准基 三角序列 |
Algebraic Conditions for a Class of Cubic Time-reversible Differential Systems |
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| SANG Bo,LIU Wenjian and ZHU Siming.Algebraic Conditions for a Class of Cubic Time-reversible Differential Systems[J].Chinese Annals of Mathematics,2011,32(3):283-288. |
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| Authors: | SANG Bo LIU Wenjian and ZHU Siming |
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| Institution: | SANG Bo~1 LIU Wenjian~1 ZHU Siming~2 1 School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,Shandong,China. 2 School of Mathematics and Computational Sciences,Sun Yat-sen University,Guangzhou 510275,China. |
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| Abstract: | In previous works,the authors gave an algorithm for deducing algebraic conditions of time-reversible differential systems,and obtained the coefficient conditions with a real parameter for a cubic reversible system.By using triangular series with projection property and standard basis to eliminate this parameter,the full algebraic conditions without parameter are arrived. |
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| Keywords: | Cubic system Time-reversible system Standard basis Triangular series |
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