Investigation On The Discharge Mechanism And Synchronization Of Coupled Neuron System

A biological neuron system is composed of a huge number of nerve cells between these nerve cells through the discharge of the rich information transfer activities,constitute the normal life activities of biological neurons to support the biology information network.Transfer of information between neurons is achieved through the peak discharge,discharge of different ways of encoding different information,so it can pass through the peak discharge of neuron system to explore neuronal discharge rules and dynamic characteristics.Synchronization is ubiquitous in nature,and it is of great significance for the memory,information balance and memory of the nervous system to synchronize the firing of two neurons in the neuron system.The synchronous discharge between two nerve cells is the basis of the whole neural network,so the synchronization of the coupled neuron system between the two nerve cells is the key of the whole neural network.In this paper,the following aspects:(1)Single neuron system coupled neuron system by chemical synaptic coupling based on the stability of the single neuron system of judging the stability,the coupled neuron system Hope bifurcation.Study on the dynamics in the single parameter characteristic of the coupling system changes system parameters can be obtained in neuron system are doubling bifurcation,periodic bifurcation and chaos of rich dynamic characteristics.(2)The bifurcation diagram of the system with two parameters is given.By simultaneously changing two system parameters in the system,with different colors representing different discharge cycles clearly showed that the discharge characteristics at a specific range of the coupling system,can provide a theoretical basis for medical experimental study on neuron encoding.The third parameters are used to observe the variation trend of the two parameter bifurcation,and the dynamic characteristics of the coupled neuron are studied through the multi parameter.(3)Starting from the coupling strength of coupled neurons.Firstly,the relationship between the coupling strength and the system parameters is obtained in theory,and the theory of stable equivalence and Lyapunov function is used in the theoretical derivation.It is very difficult to realize the synchronization of the coupled neuron system under the weak coupling strength.Then the system parameters of coupling strength and interaction synchronization of the coupled system,given the system parameters and the coupling strength on coupling system can realize synchronous graph synchronization,influence of each system parameter on the synchronization of coupled system.(4)The influence of time delay and noise on the synchronization of the coupled system is considered.Coupled system with time-delay and noise factors,through the numerical simulation of time delay and external noise can be found appropriate for synchronization of coupled neurons,promote neural network information transmission,but given the delay and coupling strength interaction synchronous coupling system synchronization diagram reveals the time delay and noise damage system.(5)The discharge condition of the coupling system is given at the same time when the coupling strength is different,and the discharge of the two subsystems in the same coupling strength is compared.This thesis can be coupled neuronal dynamics and the influence of different parameters to reveal the coupled neuron system comprehensive influence on various parameters of the synchronization can be obtained,how to realize the synchronization of coupled system to promote neural network information transmission.The research results can provide theoretical basis for medical physiology experiment and artificial intelligence.