Zero-Hopf bifurcation in a hyperchaotic Lorenz system

被引：13
|
作者：
Cid-Montiel, Lorena [1 ]
Llibre, Jaume [2 ]
Stoica, Cristina [1 ]
机构：
[1] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
来源：
NONLINEAR DYNAMICS | 2014年 / 75卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Hyperchaotic Lorenz system; Zero-Hopf bifurcation; Periodic orbits; Averaging theory; SYNCHRONIZATION; INSTABILITIES; CHAOS;
D O I：
10.1007/s11071-013-1085-3
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
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：6
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