高阶耦合条件下神经振子群活动的随机演化模型

Stochastic evolution model of a neuronal oscillator population with higher order coupling

研究外刺激和噪声共同作用下耦合神经振子群的活动,着重考察高阶耦合条件下神经网络的相位编码和平均数密度的动态演化。研究结果表明,在高阶耦合条件下,当平均数密度的初始条件与高阶耦合项同阶或者当外刺激的谐波项含有与高阶耦合项同阶项的时候,高阶耦合的作用能够维持神经振子群已形成的多簇同期化状态。否则,高阶耦合的作用将不能维持稳定的多簇同期化运动。刺激条件下的具有高阶耦合的相位神经编码及其演化,是由刺激项和耦合的神经结构所决定的,编码效果是耦合和刺激共同作用的结果。

The activities of a coupled neuronal oscillator population in presence of both external stimulation and noise were studied,and the dynamical evolution of the phase neural coding and the average number density were studied in the neural network when the coupling among oscillators contained higher harmonics.The results indicated that under the condition of higher order coupling,if the initial condition of average number density or the external stimulation contains the same harmonics as those in the higher order coupling,the action of higher order coupling can maintain the already formed multiple-cluster synchronization state of the neuronal oscillator population;otherwise,the effect of higher order coupling cannot maintain the multiple-cluster synchronization activities of the neuronal oscillator population in a stable state;under the condition of stimulation,the phase neural coding and the evolution of the higher order coupled neuronal oscillator population are dependent upon the stimulation and the neural structure of the coupling,and the effect of phase neural coding is the correlative result of the coupling and the stimulation.