具有双时滞的分数阶BAM神经网络模型的动力学行为

Dynamic Behavior of the Fractional Order BAM Neural Network Model with Two Delays

本文研究了一类具有双时滞的五神经元分数阶BAM神经网络模型的动力学行为。通过将时滞之和作为参数,利用分数阶微分方程稳定性理论和分支理论,得到了系统零平衡点稳定性和产生Hopf分支的充分条件,并通过仿真模拟,验证了理论分析的正确性。

This paper studied the dynamic behavior of a class of five-neuron fractional order BAM neural networks with double delays. By taking the sum of time delays as parameters and using fractional differential equation stability theory and bifurcation theory, the sufficient conditions of zero-equilibrium stability and Hopf bifurcation of the system are obtained, and the correctness of theoretical analysis is verified by simulation.