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.
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页数：17
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