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Dynamical Analysis of a Novel FitzHugh-Nagumo Neuron Circuit(PDF)

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2023年04期
Page:
1-9
Research Field:
电气工程
Publishing date:

Info

Title:
Dynamical Analysis of a Novel FitzHugh-Nagumo Neuron Circuit
Author(s):
Li Xinya; Min Fuhong; Xiang Weikang; Cao Yi
(NARI School of Electrical and Automation Engineering,Nanjing Normal University,Nanjing 210023,China)
Keywords:
FitzHugh-Nagumo neuron circuit; mem-elements; extreme multistability; spiking firing
PACS:
O415.5
DOI:
10.3969/j.issn.1672-1292.2023.04.001
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.

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Last Update: 2023-12-15