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
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
收藏
页码:4316 / 4320
页数:5
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