Critical point quantities and integrability conditions for a class of quintic systems

被引：2

作者：

Liu, YR ^{[1
]}

Xiao, P ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Peoples R China

来源：

JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY | 2004年 / 11卷 / 01期

关键词：

quintic system; critical point quantity; integrability condition; node quantity;

D O I：

10.1007/s11771-004-0023-4

中图分类号：

TF [冶金工业];

学科分类号：

0806 ;

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 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.

引用

页码：109 / 112

页数：4

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