| FitzHugh-Nagumo方程的小振幅行波解 |
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| 引用本文： | 于江,王树声.FitzHugh-Nagumo方程的小振幅行波解[J].山西大学学报(自然科学版),2012,35(2):200-205. |
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| 作者姓名： | 于江 王树声 |
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| 作者单位： | 上海交通大学数学系 |
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| 基金项目： | 国家自然科学基金(10971133);Program of Shanghai Subject Chief Scientist(10XD1406200) |
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| 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.
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| 关 键 词： | FitzHugh-Nagumo方程 行波解 Hopf分支 |
Traveling Wave with Small Amplitude of FitzHugh-Nagumo Equations |
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| YU Jiang
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WANG Shu-sheng.Traveling Wave with Small Amplitude of FitzHugh-Nagumo Equations[J].Journal of Shanxi University (Natural Science Edition),2012,35(2):200-205. |
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| Authors: | YU Jiang WANG Shu-sheng |
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| Institution: | (Department of Mathematics,Shanghai Jiaotong University,Shanghai 200240,China) |
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| Abstract: | 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. |
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| Keywords: | FitzHugh-Nagumo system traveling wave Hopf bifurcation |
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