Spatially discrete Fitzhugh-Nagumo equations

Authors

Christopher E. Elmer, New Jersey Institute of Technology
Erik S. Van Vleck, University of Kansas

Document Type

Article

Publication Date

9-30-2005

Abstract

We consider pulse and front solutions to a spatially discrete FitzHugh-Nagumo equation that contains terms to represent both depolarization and hyperpolarization of the nerve axon. We demonstrate a technique for deriving candidate solutions for the McKean nonlinearity and present and apply solvability conditions necessary for existence. Our equation contains both spatially continuous and discrete diffusion terms. © 2005 Society for Industrial and Applied Mathematics.

Identifier

25144464603 (Scopus)

Publication Title

SIAM Journal on Applied Mathematics

External Full Text Location

https://doi.org/10.1137/S003613990343687X

ISSN

00361399

First Page

1153

Last Page

1174

Issue

4

Volume

65

Recommended Citation

Elmer, Christopher E. and Van Vleck, Erik S., "Spatially discrete Fitzhugh-Nagumo equations" (2005). Faculty Publications. 19554.
https://digitalcommons.njit.edu/fac_pubs/19554