Synchronous dynamics of a delayed two-coupled oscillator

被引：0

作者：

Marthange, Yagbanga Niella Prudence ^{[1
]}

Li, Shangzhi ^{[1
]}

Guo, Shangjiang ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2017年 / 52期

关键词：

periodic solution; Hopf bifurcation; stability; FUNCTIONAL-DIFFERENTIAL EQUATIONS; HOPF-BIFURCATION; PERIODIC-SOLUTIONS; NEURAL-NETWORKS; NORMAL FORMS; STABILITY; SYSTEMS; SYNCHRONIZATION;

D O I：

10.14232/ejqtde.2017.1.52

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a detailed analysis on the dynamics of a delayed two-coupled oscillator. Linear stability of the model is investigated by analyzing the associated characteristic transcendental equation. By means of the equivariant Hopf bifurcation theorem, we not only investigate the effect of time delay on the spatio-temporal patterns of periodic solutions emanating from the trivial equilibrium, but also derive the formula to determine the direction and stability of Hopf bifurcation. Moreover, we illustrate our results by numerical simulations.

引用

页码：1 / 20

页数：20

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