| Critical point quantities and integrability conditions for a class of quintic systems |
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| 作者姓名： | 刘一戎 肖萍 |
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| 作者单位： | SchoolofMathematicalSciencesandComputingTechnology,CentralSouthUniversity,Changsha410083,China |
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| 基金项目： | Project ( 10 0 0 710 16)supportedbytheNaturalScienceFoundationofHunanProvince |
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| 摘 要： | For a class of quintic systems, the first 16 critical point quantities are obtained by computer algebraic system Mathematica, and the necessary and sufficient conditions that there exists an exact integral in a neighborhood of the origin are also given. The technique employed is essentially different from usual ones. The reeursive formula for computation of critical point quantities is linear and then avoids complex integral operations. Some results show an interesting contrast with the related results on quadratic systems.
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| 关 键 词： | 方次方程系统 定性理论 充分条件 积分学 |
| 收稿时间： | 18 December 2002 |
| 修稿时间： | 26 February 2003 |
Critical point quantities and integrability conditions for a class of quintic systems |
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| Liu Yi-rong,and Xiao Ping.Critical point quantities and integrability conditions for a class of quintic systems[J].Journal of Central South University of Technology,2004,11(1):109-112. |
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| Authors: | Liu Yi-rong and Xiao Ping |
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| Affiliation: | (1) School of Mathematical Sciences and Computing Technology, Central South University, 410083 Changsha, China |
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| Abstract: | For a class of quintic systems, the first 16 critical point quantities are obtained by computer algebraic system Mathematica, and the necessary and sufficient conditions that there exists an exact integral in a neighborhood of the origin are also given. The technique employed is essentially different from usual ones. The recursive formula for computation of critical point quantities is linear and then avoids complex integral operations. Some results show an interesting contrast with the related results on quadratic systems. |
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| Keywords: | quintic system critical point quantity integrability condition node quantity |
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