A Study On Neural Network Synchronization And Rhythm

In the cognitive process, the nervous system plays an important role for higher animals and humans. Synchronous firings and rhythmic activity of the nervous system are closely related with the information encoding and information processing, In this paper, there are three neural networks:Inhibitory neural network, theta-gamma rhythm network with a time delay, left and right hemispheres network.In the inhibitory neural network, we explore the impact of noise, the coupling strength and the time delay on the firing behavior of network. By gradually increasing the noise intensity and the time delay, the system shows three different states:stable pe-riod, change period, relatively stable period. Introducing a time delay greatly increases the synchronization of the firing,even in the presence of a fluctuation.We find that if the network is unstable, introducing an appropriate time delay can stabilize the network. We therefore get a relatively stable network. Furthermore we explore the impact of the coupling strength on the network, theta-gamma rhythm is produced by modulating the coupling strength of the neuron.Based on theta-gamma rhythm network with a time delay, we establish a left-and-right-hemispheres network. We discuss the behavior of the system when there is a connection between two hemispheres or only one directional connection. To mimic the the experiment of seeing a mixing alphabet. The connections play an important role in information exchange between the left and right hemispheres, Our numerical results show that the right hemisphere is in responsible of global perception while the left hemisphere is in responsible of the details of perception.