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

页码：228 / 231

页数：4

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