Rikitake system: analytic and Darbouxian integrals

被引：25

作者：

Valls, C ^{[1
]}

机构：

[1] Univ Tecn Lisboa, Dept Matemat, Inst Super Tecn, P-1049001 Lisbon, Portugal

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2005年 / 135卷

关键词：

D O I：

10.1017/S030821050000439X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a complete characterization of the analytic and Darbouxian first integrals of the Rikitake system, which serves as a model for the reversal of polarity of the Earth's electromagnetic field. Our approach uses the Darboux theory of integrability.

引用

页码：1309 / 1326

页数：18

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