具有频率依赖性耦合的神经振子群相响应同步

Phase Synchronization of Neuronal Oscillator Networks with Frequency-Dependent Coupling

考虑频率依赖性耦合神经振子群在外部谐波刺激下的动力学模型,引入相位概率密度函数导出序参数的演化方程.数值模拟结果表明,当固有频率的众数较低时,频率依赖性耦合对神经振子群相响应同步无显著影响;而当固有频率的众数较高时,频率依赖性神经振子群在外部弱刺激下几乎达到完全相位同步,随着刺激强度的增加转为无规则的振荡,最终达到同步周期振荡.

We explore phase synchronization in a population of neuronal oscillators with a frequency-dependent coupling in the presence of harmonic stimulus hy the use of phase response curve. We derived the evolution equation of the order parameter by introducing the probability density function. Numerical simulations show that when the mode of a natural frequency is low, the frequency-dependent coupling has not significant effect on phase response synchronization; and when the mode of the natural frequency is high, complete phase synchronization occurs in the population of neuronal oscillators in weak external stimulation, with increasing stimulus intensity, ultimately achieve synchronous periodic oscillation.