四元中立型时滞神经网络的稳定性分析  

Stability Analysis of a Four Neurons Network with Neutral Delay

作　　者：王润霞[1] 刘海鸿[1] 

机构地区：[1]云南师范大学数学学院,云南昆明650500

出　　处：《江汉大学学报（自然科学版）》2017年第3期202-208,共7页Journal of Jianghan University：Natural Science Edition

摘　　要：主要研究了一个四元中立型时滞神经网模型。首先,通过分析该模型的系统在平衡点的线性化方程及其相应的特征方程,研究了系统在平衡点的稳定性,得到了Hopf分岔存在的有效条件;其次,通过变动时滞或中立型项系数,神经元的状态在静息状态和放电状态之间发生改变;最后进行数值模拟验证了理论分析的正确性。A four neurons network model with neutral delay was studied. Firstly,by analyzing the linearized equation of the system at the equilibrium point and the corresponding characteristic equation,the author studied the stability of the equilibrium point and obtained the effective conditionwhere Hopf bifurcation occurs;secondly,by changing the parameters of the time delay or neutral term coefficient,the state of the neuron was changed between the resting state and the firing state;finally,numerical simulation verifyied the correctness of theoretical analysis.

关 键 词：中立型时滞 神经网络 HOPF分岔 周期解 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]