Internal layer oscillations in FitzHugh-Nagumo equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:103

Article

Ham, Y

关键词: FitzHugh-Nagumo equation;    internal layer;    free boundary problem;    Hopf bifurcation;   

DOI  :  10.1016/S0377-0427(98)00264-7

来源: Elsevier

【 摘 要 】

A controller-propagator system with a FitzHugh-Nagumo equation can be reduced to a free boundary problem when a layer parameter epsilon is equal to zero. We shall show the existence of solutions and the occurence of a Hopf bifurcation for this free boundary problem as the controlling parameter tau varies. (C) 1999 Elsevier Science B.V. All rights reserved. AMS classification: primary 35R35; 35B32; secondary 35B25; 35K22; 35K57; 58F14; 58F22.

【 授权许可】

Free