Darboux integrability and algebraic invariant surfaces for the Rikitake system

被引：10

作者：

Llibre, Jaume ^{[1
]}

Valls, Claudia ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

[2] Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2008年 / 49卷 / 03期

关键词：

D O I：

10.1063/1.2897983

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the Darboux integrability of the Rikitake system (x)over dot = -mu x + yz, (y)over dot = - mu y+x(z-a), (z)over dot = 1-xy. More precisely, we characterize all the invariant algebraic surfaces, the exponential factors, and the polynomial, rational, and Darboux first integrals of this system according to the values of its parameters a and mu. (C) 2008 American Institute of Physics.

引用

页数：17

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