新型FitzHugh-Nagumo神经元电路动力学分析  

Dynamical Analysis of a Novel FitzHugh-Nagumo Neuron Circuit

作　　者：李馨雅 闵富红[1] 相惟康 曹弋[1] Li Xinya;Min Fuhong;Xiang Weikang;Cao Yi(NARI School of Electrical and Automation Engineering,Nanjing Normal University,Nanjing 210023,China)

机构地区：[1]南京师范大学南瑞电气与自动化学院,江苏南京210023

出　　处：《南京师范大学学报（工程技术版）》2023年第4期1-9,共9页Journal of Nanjing Normal University(Engineering and Technology Edition)

基　　金：国家自然科学基金项目(61971228)。

摘　　要：利用二次型荷控忆容器替代忆阻FitzHugh-Nagumo神经元电路中的电容,构造了一种基于两类记忆元件的新型FitzHugh-Nagumo神经元电路.通过分岔图、Lyapunov指数谱、双参数图等分析手段,展开了电路的多种动力学行为分析.随着忆容参数与初始条件在特定区间内的变化,电路能够表现出含有周期-混沌气泡的反单调性、峰放电行为以及参数-初值域与初值-初值域之间的对称超级多稳态等.特别地,记忆元件初值调控的反单调性也进一步揭示了电路的多稳态即多种运动状态吸引子共存的现象.此外,通过电路软件仿真,该多稳态行为的正确性得到了验证.In this paper,a novel mem-elements based FitzHugh-Nagumo neuron circuit is proposed,which is constructed by replacing the capacitor in a memristive FitzHugh-Nagumo neuron circuit with a quadratic charge-controlled memcapacitor.By employing numerical simulation tools like bifurcation diagram,Lyapunov exponent spectrum,and two-parameter mapping,the proposed memristve FitzHugh-Nagumo neuron circuit can display multiple dynamical behaviors.With the change of memcapacitor parameters and initial conditions in a certain range,it behaves periodic and chaotic bubbles,spiking firing behaviors and symmetric multistability between parameter and initial value domain and initial value-initial value domain.In particular,antimonotonicity controlled by the initial value of the mem-elements further reveals multistable behaviors,that is,the coexistence of attractors with various motion states.Finally,the coexisting multiple attractors of the circuit are verified by PSIM circuit simulation,which proves the correctness of the numerical results.

关 键 词：FitzHugh-Nagumo神经元电路 记忆元件 超级多稳态 峰放电 

分 类 号：O415.5[理学—理论物理]