Bifurcation Analysis in a Class of Neural Network Models with Discrete and Distributed Delays
This paper investigates the stability and Hopf bifurcation in a class of neural networks with two neurons.This model involves discrete and distributed delays described by an integral with a strong delay kernel.By analysing the distribution of roots of the characteristic equation of the associated linearized system,the conditions for creating the Hopf bifurcation can be obtained.Besides,the delay is chosen as the bifurcation parameter and we find that the equilibrium is asymptotically stable when the delay is less than a critical value while the system undergoes a Hopf bifurcation when the delay exceeds the critical value.Finally,the software package DDE-BIFTOOL is applied to neural networks and the simulation results justify the validity of our theoretical analysis.
Neural Network Distributed Delay Bifurcation Discrete Delay
XU Wenying CAO Jinde
Research Center for Complex Systems and Network Sciences,and Department of Mathematics,Southeast Uni Research Center for Complex Systems and Network Sciences,and Department of Mathematics,Southeast Uni
国际会议
The 33th Chinese Control Conference第33届中国控制会议
南京
英文
6019-6024
2014-07-28（万方平台首次上网日期，不代表论文的发表时间）