Stochastic Evolution Model of Neuronal Oscillator Population Under the Condition of the Variable Higher Order Coupling

Abstract

In the premise of analysis on the dynamic characteristics of the transmission mechanism among the synapses, this paper modified the coupling term in the P.A. Tass’s stochastic evolution model of neuronal oscillator population, introducing the variable higher order coupling term. Then, we performed the numerical simulation on the modified model. The simulation results show that without the external stimulation, the variable coupling mechanism can induce the transition between different clustering states of the neuronal oscillator population. And a full desynchronization state can exist in the middle of the transition between two different synchronization states induced by the variable coupling mechanism.