| 奇点量公式的机器推导与一类三次系统的前10个鞍点量 |
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| 引用本文： | 刘一戎,陈海波.奇点量公式的机器推导与一类三次系统的前10个鞍点量[J].应用数学学报,2002,25(2):295-302. |
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| 作者姓名： | 刘一戎 陈海波 |
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| 作者单位： | 中南大学数学系,长沙,410083 |
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| 基金项目： | 国家自然科学基金（10071016号）资助项目. |
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| 摘 要： | 本文给出了计算奇点量的两个递推公式，对一类三次系统用计算机推导出原点的前10个鞍点量，得到系统原点领域存在正则积分的充分必要条件。
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| 关 键 词： | 三次系统 奇点量 计算机推导 微分自治系统 |
FORMULAS OF SINGULAR POINT QUANTITIES AND THE FIRST 10 SADDLE QUANTITIES FOR A CLASS OF CUBIC SYSTEM |
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| LIU YIRONG,CHEN HAIBO.FORMULAS OF SINGULAR POINT QUANTITIES AND THE FIRST 10 SADDLE QUANTITIES FOR A CLASS OF CUBIC SYSTEM[J].Acta Mathematicae Applicatae Sinica,2002,25(2):295-302. |
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| Authors: | LIU YIRONG CHEN HAIBO |
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| Abstract: | Abstract In this paper, we establish two recursion formulas for computing of singular point quantities. The first 10 saddle quantities for a class of cubic system are obtianed by using computer, the necessary and sufficient conditions for integrability of this system are also given. |
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| Keywords: | Singular point quantities cubic system saddle quantities computer deducing |
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