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

作     者：Xiu-ling LI Jun-jie WEI 

作者机构：College of Applied Mathematics Jilin University of Finance and Economics Department of Mathematics Harbin Institute of Technology 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2013年第29卷第2期

页      面：425-448页

核心收录：

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：stability bifurcation multiple delays 

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.