Field Coupling Application In Synchronization Of Chaotic Systems And Neural System

As a typical complex system,nervous system is the main research object of system neuroscience and computational neuroscience.Considering the diversity and difference of its composition,regular network,small world network and scale-free network are usually used to study the collective behavior and cooperation of neural system group electrical activities.In the actual nervous system,the signal coding and transmission between neurons is realized by chemical synapse and electrical synaptic connection.The synapses of biological neurons are plastic.Therefore,the efficiency and controllability of synaptic coupling channels should be considered in the process of signal transmission.The biophysical properties of the coupling channels should be clarified for further understanding the mechanism of migration of group electrical activity patterns of neural networks,prevent some basic neurologic,effectively control the electrical activity patterns of neurons,and design artificial intelligence neural networks.The synaptic plasticity of biological neurons is fully utilized and realized in the artificial neural circuit.Scientific contribution 1:To model synaptic plasticity,the concept of field coupling is coined and then is introduced to connect chaotic circuits.The inductor coupling system,consisting of two Chua circuits with different initial values,can synchronize in different chaotic and periodical states.In fact,inductor coupling can be considered as a variety of field coupling,since there will be coupling current across the inductor,which can induce electromagnetic field,and then part of the energy is saved as electromagnetic field energy by inductor.When the two systems are synchronized completely,the current attenuation of the coupling channel is zero,and the energy of the two circuits is balanced.The results explain the physical mechanism of integral coupling and control,and suggest that the chemical synaptic coupling between neurons may be a field coupling.Scientific contribution 2:after proposing the concept of field coupling,it is necessary to discuss the underlying mechanisms how two systems stay at peace with each other by these coupling methods,particularly coupling two Chua circuits via resistor,capacitor and inductor.The results show that only in the condition that energy flow from high system to lower system that the coupling system could synchronize with each other.Otherwise,synchronization approach is blocked even the coupling intensity is increased greatly.The reason underlying the phenomenon is that resistor can consume energy to synchronize two circuits,however in case of capacitor or inductor,the energy only can be pumped from high container to the lower container since coupling components cost no energy.The results explain that the essence of the balance between dynamical systems may lie in the balance of energy,so the efficiency of energy transport and regulation of coupling channels determines the stability of synchronization.Scientific contribution 3:After clarifying the mechanism of field coupling promoting synchronization between coupling systems,field coupling is applied between neurons to study the regulation of functional synapses on synchronous discharge of neurons.When two Hindmash-Rose neurons with different firing states are coupled by inductor,the coupling system can exhibit the same firing patterns,which are involved tightly with initial states.In the small world network and scale-free network composed of HR neurons via inductor coupling,they show two different dynamical behaviors:asynchronous in small world network and synchronous in scale-free network.The results provide the basis for constructing artificial synapses and effectively controlling neural networks.