Synchronization Of Neuronal Population Under Probabilistic Coupled

Synchronized discharge of neurons is a hot topic in neurodynamics research.In the nervous system,neurons are connected by synapses.Synaptic interaction between neurons is plasticity,so the coupling strength between neurons is not fixed.Noise in the nervous system is ubiquitous.Due to the influence of synaptic noise,the coupling strength between neurons is random.In this paper,the synchronous discharge dynamics of neuron clusters under Probabilistic coupling is studied.In this paper,we first introduce the biophysical characteristics of neuronal activity,analyze the basic structure of neurons and the process of information transmission,and elaborate the synaptic structure of neurons and synaptic plasticity.Considering the oscillation characteristics of nerve activity,the neuron is simulated as a nerve oscillator,and a phase evolution model describing the activity of neuron clusters is proposed.The average density is introduced to describe the overall activity characteristics of the neural oscillator cluster,and the Fokker-Planck equation for the evolution of the average density is derived.We obtained the general solution expression of the mathematical model equation of neuron phase synchronization.In this study,we introduced synchronous discharge activities of invariant coupled neuron clusters.The numerical results show that when there is no external input stimulus,the discharge mode of the Neural oscillator cluster exhibits synchronous oscillation and The periodic synchronous discharge behavior is also observed over time.Besides,There was a positive correlation between the degree of synchronous discharge and the intensity of stimulation.However,when the stimulation frequency is close to the characteristic frequency of the nervous system,the cluster of nerve oscillators exhibits paroxysmal discharge behavior.Finally,the synchronous discharge activity of probabilistic coupled neuron clusters is studied.Comparing with the numerical results of invariant coupling,the results show that under the same noise intensity and stimulus intensity,the synchronous discharge degree of probabilistic coupled neural array cluster is higher.