FitzHugh-Nagumo方程的小振幅行波解  

Traveling Wave with Small Amplitude of FitzHugh-Nagumo Equations

作　　者：于江[1] 王树声[1] 

机构地区：[1]上海交通大学数学系,上海200240

出　　处：《山西大学学报（自然科学版）》2012年第2期200-205,共6页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(10971133);Program of Shanghai Subject Chief Scientist(10XD1406200)

摘　　要：论文主要讨论了FitzHugh-Nagumo方程行波解.此时,FitzHugh-Nagumo系统可以转化为三维非线性常微分方程组.使用中心流形定理、Lyapunov系数法对此系统进行高维Hopf分支分析,给出了系统具有小振幅的周期解的参数条件.The existence of traveling wave with small amplitude of FitzHugh-Nagumo equations is studied.After it is chnged into a three-dimensional nonlinear ordinary differential system,with the center manifold theorem and Lyapunov coefficient method,it is shown that there exist a small amplitude periodic solutions around a singular point of the system in the given parameters.

关 键 词：方程 小振幅 行波解 

分 类 号：O35[理学—流体力学]