一类具零频率的Nagumo型方程的同伦摄动近似解

The Homotopy Perturbation Approximation Solution of A Class of Nagumo Equations with Zero Frequency

考虑由典型的发放神经元模型—FHN模型简化得到的Nagumo方程,应用同伦摄动理论,通过引入一嵌入变量p∈[0,1]构造一同伦函数,求解得方程的一阶近似解和参数a的估计值。

In this paper, we considered a class of two order nonlinear equations by neuron model--FHN equation. Using the homotopy perturbation method what completely d simplifying the classical oes not depend on small parameters, we get the first order approximate solutions for it and estimate value of parameter a by introducing a embedded variable p ∈ [ 0, 1 ], constructing a homotopy function and using the perturbation theory.