Research On The Phenomenon Of Inverse Stochastic Resonance Under Levy Noise And Autapse

Neurons are the basic unit of activity in the nervous system,which play an important role in the information processing and transmission of the nervous system.Noise is the largest random factor in the nervous system.When neurons are affected by the surrounding noise,the firing pattern of neurons will also change.At present,there are a lot of researches on noise induced stochastic resonance and coherent resonance.In this paper,different from the former,the effect of noise on the inhibition of neuron discharge was studied,that is,inverse stochastic resonance.Based on the Hodgkin-Huxley neuron model,we studied the effects of noise and autapse on the firing activities of neurons and neural networks,the main contents and conclusions are as follows,1.The phenomenon of single neuron inverse stochastic resonance caused by Levy noise was studied systematically.It was found that under the influence of Levy noise,the stability index and scale parameter of Levy noise can minimize the average discharge rate.The results showed that when the input current intensity reached the critical threshold,Levy noise can cause inverse stochastic resonance.In addition,in order to further prove that Levy noise can produce inverse stochastic resonance,the interspike interval histogram was also used to study the voltage discharge mode.Finally,we found that with the increase of Levy noise stability index and scale parameters,the total number of interspike intervals first decreased and then increased,which means the emergence of inverse stochastic resonance.2.Inverse stochastic resonance(ISR)of the discharge of neurons driven by electrical and chemical self autapse under different input current types is studied.The concept of random HH model and average discharge rate and interspike interval histogram(ISIH)were introduced to measure the degree of inverse stochastic resonance.The results showed that the discharge peak of neurons decreased first and then increased with the increase of delay time.In addition,we find that the average discharge rate curve has several minimum values,which are called multiple inverse stochastic resonance.In addition,we also found that when the delay time was in a certain range,the activity of neurons can be regulated by the autaptic intensity.At the same time,the intensity of noise and autaptic current can enhance the discharge activity of neurons.Therefore,our study shows that the autapse can regulate and control the firing activity of neurons and induce the phenomenon of multiple inverse stochastic resonance.3.The influence of Levy noise on the discharge of neurons in neural network was studied.In the whole network,there was a minimum value of the average discharge rate curve with the change of stability index and scale parameter,that was,inverse stochastic resonance phenomenon.With the increase of the autaptic current intensity and coupling coefficient,the inhibition of noise in neuron discharge was weakened.In addition,under the excitation of Levy noise,with the increase of coupling strength,the neuron discharge of neural network became more intense and regular.