Resonance Dynamics Of Neurons And Neuron Networks Under The Action Of Phase Noise And Electromagnetic Induction

The essential characteristics of the world are complex and nonlinear,and full of noise disturbances.Neurons are the basic processing units of the nervous system.There are about 100 billion neurons in the human brain cortex.The nervous system processes and processes the received stimulus signals and responds to them.In this process,it is inevitably affected by electromagnetic induction and noise.At the same time,due to the limited propagation speed of neural signals and the existence of synaptic clearance,there is usually time delay effect when information is transmitted between neurons.As an important organization of neurons,autapse plays an irreplaceable role in brain activity and information encoding.Therefore,based on the nonlinear dynamics theory and the computer numerical simulation method,this paper explores the important role of phase noise,autapse,coupling time delay and other factors on the resonance dynamics of neuron and neuronal networks under the background of electromagnetic induction.The specific content of the paper is as follows:1.The effects of phase noise and autapse on the resonance dynamics of the neuronal system were investigated by constructing a Fithugh-nagumo(FHN)neuronal model with magnetic flux and autapse.Firstly,by defining the coherence resonance index,it is found that the phase noise of appropriate intensity can induce double coherence resonances in the neuron system.Furthermore,we demonstrate that the noise-induced double coherence resonances phenomenon is robust to the feedback gain of the induced current,and adjusting the period of phase noise and the feedback gain intensity separately,the behavior similar to coherence resonance is exhibited.Finally,when the autapse is introduced,the data results show that the autaptic time delay can induce multiple coherence resonances in the system,and the multiple coherence resonances can occur in both the autaptic strength and the autaptic time delay.2.By introducing the influence of electromagnetic induction into the NW small-world neuronal network model,the stochastic resonance dynamics of the neuronal network system under phase noise and coupled time-delay are discussed.Numerical simulation results show that when the coupling time delay is zero,the phase noise of appropriate amplitude can make the neuronal network system emerge stochastic resonance,and under the influence of electromagnetic induction,with the increase of feedback gain,the noise-induced stochastic resonance phenomenon is suppressed.When coupled time-delay is not zero,it is found that adjusting the coupling delay can induce multiple stochastic resonances in the neuronal network system,and the large feedback gain intensity can attenuate multiple stochastic resonance phenomenon.Further numerical simulation results show that the phase noise induced stochastic resonance is robust to the edge-added probability of the network,and the multiple stochastic resonances induced by the coupled delay are also robust to weak signal period.