电磁感应效应对神经元网络中相干共振的影响研究
Research on the Effect of Electromagnetic Induction on Coherent Resonance in Neuronal Networks
DOI: 10.12677/aam.2024.134113, PDF,   
作者: 周春慧子, 伦秋文：河南科技大学数学与统计学院，河南 洛阳
关键词: 噪声；电磁感应；神经元网络；相干共振；Noise； Electromagnetic Induction； Neuronal Networks； Coherence Resonance
摘要: 本文基于FitzHugh-Nagumo (FHN)神经元模型建立了含高斯白噪声和电磁感应电流的小世界神经元网络模型，仿真了噪声诱导神经元网络产生相干共振，并进一步研究了神经元网络中电磁感应强度对相干共振现象的影响。研究结果表明：中等强度的噪声可以诱导神经元网络发生相干共振现象，且相干共振的强度随着电磁感应的增强而增强。这是因为随着电磁感应强度的增大，FHN神经元的Hopf分岔点向静息态移动。本文的结果进一步丰富了神经元网络的随机动力学，同时也为神经系统中的相干共振现象的调控提供了有效方法。
Abstract: In this study, a small-world neuronal network model containing Gaussian white noise and electromagnetic induction current is established based on the FitzHugh-Nagumo (FHN) neuron model. The simulation focuses on the noise-induced coherent resonance of the neuronal network, specifically exploring the impact of electromagnetic induction intensity on this coherent resonance phenomenon. The findings indicate that a moderate level of noise intensity can induce coherent resonance in neuronal network. Moreover, the intensity of coherent resonance escalates with the increased strength of electromagnetic induction. This observation is attributed to the movement of the Hopf bifurcation point of FHN neurons towards the resting state as the electromagnetic induction intensity rises. The outcomes presented in this paper contribute to the broader understanding of stochastic dynamics in neuronal networks and offer an effective approach for modulating coherent resonance phenomena in neural systems.
文章引用：周春慧子, 伦秋文. 电磁感应效应对神经元网络中相干共振的影响研究[J]. 应用数学进展, 2024, 13(4): 1226-1233. https://doi.org/10.12677/aam.2024.134113

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