一类二阶时延神经网络的分岔分析和控制

Bifurcation analysis and control of delayed neural network model with two-neurons

讨论了一类二阶时延网络系统的非线性特性 ,应用线性化稳定性和分岔理论 ,提出了该系统从稳定到分岔的条件 .结论指出利用延迟时间可以进行分岔控制、极限环幅值控制等 ,并给出了仿真的具体实例 .

The nonlinear behavior in a delayed neural network model with two neurons is investigated. Conditions from stability to bifurcation of the model are presented by applying the linear stability theory. The analytical mechanism for the beginning of cyclic behavior is based on a Hopf_type bifurcation theory. The bifurcation and amplitude of the bifurcated solution are proved to be controlled by utilizing bifurcation stability conefficients can control bifurcation. An example is given and numerical simulations are performed to illustrate the results.\;