| 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,2011,32(3):283~288 |
| 一类时间可逆三次微分系统的代数条件 |
| Algebraic Conditions for a Class of Cubic Time-reversible Differential Systems |
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| DOI： |
| 中文关键词: 三次系统 时间可逆系统 标准基 三角序列 |
| 英文关键词:Cubic system Time-reversible system Standard basis Triangular series |
| 基金项目:国家自然科学基金(No.10871214)资助的项目 |
| Author Name | Affiliation | E-mail | | SANG Bo | School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,Shandong,China. | sangbo_76@yahoo.com.cn | | LIU Wenjian | School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,Shandong,China. | liuwenjian198504@126.com | | ZHU Siming | School of Mathematics and Computational Sciences,Sun Yat-sen University,Guangzhou 510275,China. | stszsm@zsu.edu.cn |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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