【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.更多还原

【Abstract】 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 perturbations.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.更多还原