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光敏FitzHugh-Nagumo神经元网络中的奇异态

王馨玥 安新磊 王小童

吉林大学学报(理学版)2025,Vol.63Issue(3):915-923,9.
吉林大学学报(理学版)2025,Vol.63Issue(3):915-923,9.DOI:10.13413/j.cnki.jdxblxb.2024110

光敏FitzHugh-Nagumo神经元网络中的奇异态

Chimera States in Photosensitive FitzHugh-Nagumo Neural Network

王馨玥 1安新磊 1王小童1

作者信息

  • 1. 兰州交通大学数理学院,兰州 730070
  • 折叠

摘要

Abstract

On the basis of the FitzHugh-Nagumo(FHN)neuron model containing phototubes,we connected the inductors in series with phototubes to construct a photosensitive neuron model.Firstly,we plotted the time-space diagram and membrane potential phase diagram of the network under different coupling strengths by numerical simulation.Secondly,we changed the amplitude of the external excitation source of the neuron and the output voltage amplitude of the phototube separately,and calculated the order parameter SI under the corresponding parameters.Finally,the values of the amplitude of the external excitation source and the output voltage amplitude of the phototube for each neuron were randomly selected from a normal distribution,we constructed a non-all-identical neural network,changed the coupling strength and the standard deviation of the normal distribution,and calculated the corresponding order parameter SI.The results show that,when the coupling strength increases within a certain parameter range,the network can transition from asynchronous to chimera state,and ultimately achieving synchronous.The appropriate value of amplitude can expand the coupling strength interval corresponding to chimera state.In the non-all-identical neuron network,the coupling strength interval corresponding to the chimera state is positively correlated with the value of the standard deviation.

关键词

奇异态/FHN神经元模型/光敏神经元/同步

Key words

chimera state/FHN neuron model/photosensitive neuron/synchronization

分类

数理科学

引用本文复制引用

王馨玥,安新磊,王小童..光敏FitzHugh-Nagumo神经元网络中的奇异态[J].吉林大学学报(理学版),2025,63(3):915-923,9.

基金项目

甘肃省自然科学基金(批准号:23JRRA861). (批准号:23JRRA861)

吉林大学学报(理学版)

OA北大核心

1671-5489

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