Stability and Bifurcation Analysis in a System of Four Coupled Neurons with Multiple Delays

被引：0

作者：

Xiu-ling LI ^{[1
]}

Jun-jie WEI ^{[2
]}

机构：

[1] College of Applied Mathematics, Jilin University of Finance and Economics

[2] Department of Mathematics, Harbin Institute of Technology

来源：

Acta Mathematicae Applicatae Sinica | 2013年 / 02期

关键词：

stability; bifurcation; multiple delays;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程]; N93 [非线性科学];

学科分类号：

07 ; 070104 ;

摘要：

A system of delay differential equations is studied which represent a model for four neurons with time delayed connections between the neurons and time delayed feedback from each neuron to itself. The linear stability and bifurcation of the system are studied in a parameter space consisting of the sum of the time delays between the elements and the product of the strengths of the connections between the elements. Meanwhile, the bifurcation set are drawn in the parameter space.

引用

页码：425 / 448

页数：24

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