Stability of travelling front solutions of the Fitzhugh-Nagumo equations

13Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

Abstract

The FitzHugh-Nagumo equation ut = uxx+f(u)-w,wt = b(u-dw), is a simplified mathematical model of a nerve axon. If the parameters b > 0 and d > 0 are taken suitably, this equation has a travelling front solution. We study the stability of the front solution by eigenvalue analysis. It is proved analytically that the front solution is exponentially stable if b > 0 is sufficiently small. © 1989.

Cite

CITATION STYLE

APA

Yanagida, E. (1989). Stability of travelling front solutions of the Fitzhugh-Nagumo equations. Mathematical and Computer Modelling, 12(3), 289–301. https://doi.org/10.1016/0895-7177(89)90106-4

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free