典型文献
P-Bifurcation of Stochastic van der Pol Model as a Dynamical System in Neuroscience
文献摘要：
This study aims to determine the phenomenological bifurcation(P-bifurcation)occur-ring in the van der Pol(VDP)neuronal model of burst neurons with a random signal.We observe the P-bifurcation under an intense noise stimulus which would become chaotic transitions.Bursting and spiking simulations are used to describe the causes of chaotic transitions between two periodic phases that are the reason for the neuronal activities.Ran-domness plays a crucial role in detecting the P-bifurcation.To determine the equilibrium points,stability or instability of the stochastic VDP equation,and bifurcation,we use the stochastic averaging method and some related theorems.Apart from theoretical methods,we also examine numerical simulations in the particular case of that stochastic equation that illustrates the outcome of theorems for various noise types.The most striking part of our theoretical findings is that these results are also valid for the Izhikevich-FitzHugh model,Bonhoeffer-van der Pol oscillator in dynamical systems of neuroscience.Finally,we will discuss some applications of the VDP equation in neuronal activity.
文献关键词：
中图分类号：
作者姓名：
F.S.Mousavinejad;M.FatehiNia;A.Ebrahimi
作者机构：
Faculty of Mathematical Sciences,Yazd University,Yazd,Iran
文献出处：
引用格式：
[1]F.S.Mousavinejad;M.FatehiNia;A.Ebrahimi-.P-Bifurcation of Stochastic van der Pol Model as a Dynamical System in Neuroscience)[J].应用数学与计算数学学报,2022(04):1293-1312
A类：
domness
B类：
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AB值：
0.605717
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