南京师范大学学报（工程技术版）2023，Vol.23Issue(4)：1-9,9.DOI:10.3969/j.issn.1672-1292.2023.04.001
新型FitzHugh-Nagumo神经元电路动力学分析
Dynamical Analysis of a Novel FitzHugh-Nagumo Neuron Circuit
摘要
Abstract
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Key words
FitzHugh-Nagumo neuron circuit/mem-elements/extreme multistability/spiking firing分类
数理科学引用本文复制引用
李馨雅,闵富红,相惟康,曹弋..新型FitzHugh-Nagumo神经元电路动力学分析[J].南京师范大学学报（工程技术版）,2023,23(4):1-9,9.基金项目
国家自然科学基金项目(61971228). （61971228）
