Theta-神经元模型中单放电行波的一种稳定性分析  

A Kind of Stability Analysis of Single-Spiking Traveling Waves in a θ-Neuronal Network

作　　者：吴国栋[1] 戴云仙[1] 马文斌[1] 吴云超[1] 周兰锁[1] 

机构地区：[1]内蒙古农业大学理学院,呼和浩特010018

出　　处：《内蒙古大学学报（自然科学版）》2016年第6期573-576,共4页Journal of Inner Mongolia University：Natural Science Edition

基　　金：内蒙古自治区自然科学基金资助项目(2014MS0117)

摘　　要：神经元模型中行波解的稳定性分析大都集中于对激发时间的扰动分析.理论上,行波的稳定性会受到各种形式的扰动影响.就一维θ-模型,从波形扰动进行线性化分析,得出非局部特征方程,经分析发现可以排除单放电行波的本性不稳定性,但经数值计算发现行波对波形的扰动不具有线性稳定性.The stability analysis of traveling waves in neuronal models was mainly focused on the perturbation of spike time in recent years. The stability is related to many kinds of perturba tions. The wave-form perturbation was considered and the nonlocal eigenvalue equation was reduced by linearization around single-spiking traveling waves with one-dimensional theta-neuron model. The essential instability was ruled out, but linear instability about perturbation of wave form was arisen by numerical calculation.

关 键 词：θ-神经元模型 波形扰动 非局部特征值 本质谱 

分 类 号：O29[理学—应用数学]