Properties Of Stationary Solutions In Dynamical Neural Field With Different Threshold Functions

According to the latest research,tiny compartments in the dendrites of cortical neurons can perform specific XOR calculations.This discovery is so important that the idea will be changed in a lot of people.At the same time,researchers found a class of calcium-mediated dendritic action potentials(d-CaAPs),whose waveform and effects on neuron output have not been de-scribed.To the satisfaction of the need of reality,from one hand,some prop-erties of stationary solutions in Amari dynamical neural field are discussed by the equation of Amari dynamical neural field in form of discrete threshold function.With general assumptions,the properties of stationary solution are obtained on the premise of special Relu function and rectangle function as threshold function.Without external input,the properties of stationary solu-tion in general assumptions are obtained by the equation of Amari dynamical neural field.From the other hand,the properties of stationary solution in A-mari dynamical neural field are proposed on continuous threshold functions.Some properties of stationary solutions of the equation of Amari dynamical neural field are obtained on the premise that the threshold function is Gaus-sian function in the way of math skills.In this paper,the equation of Amari dynamical neural field have wide applications in physiological psychology,neuropsychology,machine visionand cognition,etc.Therefore,the properties of stationary solutions in A-mari dynamical neural field in the condition of different threshold functions have important theoretical significance for the application in cognitive sci-ence and machine learning.Meanwhile,the selected threshold functions do well in excitatory and inhibitory neurons,which is more consistent with the fact.Therefore,the study of the stationary solution of Amari dynamical neural field equations also has good practical significance.