非线性耦公振子系统的相位-频率同步
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摘要：
跨频耦合下的相位-频率同步反映了不同频率振子之间的相互作用，即频率与相位之间的动态关联。这种现象在大脑中被广泛观察到，它被认为是协调不同脑区并整合多种时间尺度下信息处理的关键机制，帮助大脑处理不同复杂的任务。通过非线性耦合 Poincaré 模型观察2种互连结构中的相位-频率同步现象，并通过频谱分析确定不同频率振子耦合作用强度对相位频率同步的影响。理论分析了低频振荡相位对高频振荡频率的影响及其机制。该研究不仅可以丰富振子同步动力学行为研究，还有助于理解大脑不同区域之间的功能协调机制，并为神经网络的建模与优化提供新的视角。
Phase-frequency synchronization, as one kind of the cross frequency couplings, reflects the interaction between neurons of different frequencies, that is, the dynamic association between frequency and phase, This phenomenon is widely observed in the brain, It is considered to be a key mechanism for coordinating different brain regions and integrating information processing at multiple time scales, helping the brain to handle different complex tasks. The phase-frequency synchronization phenomenon in the two interconnected structures was observed through the nonlinear coupled Poincare model, and the influence of the intensity of coupling between neurons of different frequencies on the phase-frequency coupling was determined through spectral analysis. Theoretical analysis was conducted to further explore the influence of the phase of low-freguency oscillations on high-frequency oscillations and its regulatory mechanism.This study can not only enrich the study of neuronal syn- chronization dynamics behayior.but also help to understand the functiona coordination mechanism between different brain regions and provide a new perspective for the modeling and optimization of neural networks.
作者:
刘维清,林境鸿
Liu Weiqing,LinJinghong
机构地区：
江西理工大学理学院文理学院
引用本文：
刘维清，林境鸿。非线性耦合振子系统的相位-频率同步[J].学报(自然科学版),2025,53(6):1-7.（Liu Weiging,Lin Jinghong.Phase-frequency synchronization of the nonlinear coupled neuron oscillators system[J].Journal of Henan Normal University( Natural Science Edition),2025,53(6):1-7.DOI:10.16366/j.cnki.1000-2367.2025.01.25.0001.)
基金：
国家自然科学基金
关键词：
神经元;跨频耦合;相位-频率同步;锁相;频谱分析;Poincaré模型
neuron; cross-frequency coupling;phase-frequency synchronization; phase locking; spectral analysis;Poincaré model
分类号：
O415.3
