Degenerate Hopf bifurcations in the Lu system

被引:40
|
作者
Mello, Luis Fernando [1 ]
Coelho, Sinval Ferreira [1 ]
机构
[1] Univ Fed Itajuba, Inst Ciencias Exatas, BR-37500903 Itajuba, MG, Brazil
关键词
Degenerate Hopf bifurcations; Limit cycles; Lyapunov coefficients; CHAOTIC ATTRACTOR;
D O I
10.1016/j.physleta.2009.01.049
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter we study the stability and local codimension one, two and three Hopf bifurcations which occur in the Lu system. A description of the regions in the parameter space for which multiple small periodic solutions arise through the Hopf bifurcations at the equilibria is given. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:1116 / 1120
页数:5
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