Analysis of bifurcation in a symmetric system of m coupled oscillators with delay

被引：0

作者：

Zhang, Chunrui ^{[1
]}

Zheng, Baodong ^{[2
]}

机构：

[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Peoples R China

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2014年 / 38卷 / 19-20期

关键词：

Coupled oscillator; Symmetry; Delay differential equation; Stability; Hopf bifurcation; Periodic solution; FUNCTIONAL-DIFFERENTIAL EQUATIONS; NEURAL-NETWORK MODEL; PERIODIC-SOLUTIONS; GLOBAL EXISTENCE;

D O I：

10.1016/j.apm.2014.03.016

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider a system of m coupled oscillators with k coupling parts with delay. Using the symmetric functional differential equation theories, we demonstrate the multiple Hopf bifurcation of the equilibrium at the origin. The existence of multiple branches of bifurcating periodic solution is obtained. Then we study the case of coupling BVP oscillators. Global existence of periodic solutions is established. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：4586 / 4601

页数：16

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