Zero-Hopf bifurcation in the generalized Michelson system

被引：13
|
作者：
Llibre, Jaume [1 ]
Makhlouf, Amar [2 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[2] Univ Annaba, Lab LMA, Dept Math, Elhadjar 23, Annaba, Algeria
来源：
CHAOS SOLITONS & FRACTALS | 2016年 / 89卷
关键词：
Periodic solution; Averaging theory; Zero-Hopf Bifurcation; Michelson system; Triple-zero bifurcation; ANALYTIC UNFOLDINGS; SINGULARITY;
D O I：
10.1016/j.chaos.2015.11.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide sufficient conditions for the existence of two periodic solutions bifurcating from a zero-Hopf equilibrium for the differential system (x) over dot = y, (y) over dot = z , (z) over dot = a+by+cz -x(2)/2, where a, b and c are real arbitrary parameters. The regular perturbation of this differential system provides the normal form of the so-called triple-zero bifurcation. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：228 / 231
页数：4
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