A stochastic nonlinear evolution model of neuronal activity with random amplitude

In this paper we propose a new stochastic nonlinear evolution model with the stochastic amplitude in neuronal activities to obtain the average number density, which is used to describe the neurocommunication among population of neurons. The average number density is a function of the amplitude, phase and time. The number density of the diffusion process of neurocommunication is given for the active states of populations of coupled oscillators under perturbation by both periodic stimulation and random noise. Particularly, the evolution model presented in this paper can be used to describe the stochastic evolution process of the amplitudes in activities of multiple interactive neurons.