COMPUTING CENTER CONDITIONS FOR CERTAIN CUBIC SYSTEMS

被引：80

作者：

LLOYD, NG ^{[1
]}

PEARSON, JM ^{[1
]}

机构：

[1] UNIV COLL WALES,DEPT MATH,ABERYSTWYTH SY23 3BZ,DYFED,WALES

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1992年 / 40卷 / 03期

关键词：

NONLINEAR DIFFERENTIAL EQUATIONS; CUBIC SYSTEMS; CENTER CONDITIONS; REDUCE;

D O I：

10.1016/0377-0427(92)90188-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present necessary and sufficient conditions for a critical point of certain two-dimensional cubic differentia systems to be a centre. Extensive use of the computer algebra system REDUCE is involved. The search for necessary and sufficient conditions for a centre has long been of considerable interest in the theory of nonlinear differential equations. It has proved to be a difficult problem, and full conditions are known for very few classes of systems. Such conditions are also required in the investigation of Hilbert's sixteenth problem concerning the number of limit cycles of polynomial systems.

引用

页码：323 / 336

页数：14

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[10]

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