外界激发型学习神经元的动力学研究与电路设计实现

Dynamic Analysis and Chaotic Electronic Circuit Design Implementation of Learning Neuron Models with Arouse

对具有外界激发的学习神经元模型的非线性动力学行为在理论上进行了分析,计算了该模型动力学系统的Hopf分岔、Lyapunov指数谱及维数,利用劳斯-霍尔维茨判据对系统的平衡点进行了讨论,并对该非线性系统的电路进行了详细的设计,利用电子工作平台将设计的实现动力学混沌行为的电路进行了仿真实验,探讨了电路的混沌行为特征,表明理论上的分析与电路设计的正确性、合理性,电路实现简单实用。

The nonlinear dynamics behavior with learning neural model of the outside arouse were studied. and the Hopf bifurcation of models of the dynamics system,Lyapunov index spectrum as well as Lyapunov dimension were calculated in theory. The balance of the system were studied using the Routh-Hurwitz criterion.In this paper,we designed the electric circuits of the nonlinear dynamics chaotic system,the electronic workbench was used to realize simulation experiment of the designed circuit of dynamic system,and the chaotic behavior characteristics of the circuit chaotic behavior characteristics of the circuit were discussed. The simulation experiment shows that theoretical analysis and the circuit design are correct and rational,and it is simple and practical for circuit implementation.