Zero–Hopf bifurcation in a hyperchaotic Lorenz system

被引:1
|
作者
Lorena Cid-Montiel
Jaume Llibre
Cristina Stoica
机构
[1] Wilfrid Laurier University,Department of Mathematics
[2] Universitat Autònoma de Barcelona,Departament de Matemàtiques
来源
Nonlinear Dynamics | 2014年 / 75卷
关键词
Hyperchaotic Lorenz system; Zero–Hopf bifurcation; Periodic orbits; Averaging theory;
D O I
暂无
中图分类号
学科分类号
摘要
We characterize the zero–Hopf bifurcation at the singular points of a parameter codimension four hyperchaotic Lorenz system. Using averaging theory, we find sufficient conditions so that at the bifurcation points two periodic solutions emerge and describe the stability of these orbits.
引用
收藏
页码:561 / 566
页数:5
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