On the stability of the equilibria of the Rikitake system

被引：9

作者：

Braga, Denis de Carvalho ^{[2
]}

Dias, Fabio Scalco ^{[1
]}

Mello, Luis Fernando ^{[1
]}

机构：

[1] Univ Fed Itajuba, Inst Ciencias Exatas, BR-37500903 Itajuba, MG, Brazil

[2] Univ Fed Itajuba, BR-35900373 Itabira, MG, Brazil

来源：

PHYSICS LETTERS A | 2010年 / 374卷 / 42期

关键词：

Rikitake system; Stability; Lyapunov coefficient;

D O I：

10.1016/j.physleta.2010.08.062

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this note we present an analytical study of the stability of the equilibria of the Rikitake system. We prove that the two non-hyperbolic equilibria of the Rikitake system are unstable for all positive values of the parameters. (c) 2010 Elsevier B.V. All rights reserved.

引用

页码：4316 / 4320

页数：5

共 8 条

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