时变耦合神经振子集群刺激依赖性相响应同步

STIMLI-DEPENDENT PHASE SYNCHRONIZATION IN POPULATION OF TIME-VARYING COUPLED NEURONAL OSCILLATORS

考虑时变耦合情形下,利用相位响应曲线建立谐波刺激作用下耦合神经振子集群活动的动力学模型.引入相位概率密度函数导出描述神经振子集群活动序参数的演化方程.数值模拟结果表明高频谐波刺激可产生相位同步周期振荡,同步振荡周期与刺激频率有关,刺激频率越高神经振子群同步振荡频率也越高;同步强度与刺激强度有关,刺激越强同步程度越高.

Taking into account the time-varying coupling, we studied the dynamic mode/of neural oscillator in the presence of harmonic stimulus by the use of phase response curve, and derived the evolution equation of the order parameter by introducing the probability density function. Numerical simulations show that high-frequency harmonic stimulus can produce the periodically synchronized oscillations in the population of neuronal oscillators, and the period of synchronized oscillation is related to stimulus frequency. That is to say, the higher the stimulus frequency, the higher the frequency of synchronized oscillation, and the degree of synchronization increases with the increasing stimulus intensity.