Margerit, Daniel and Barkley, Dwight. (2002) Cookbook asymptotics for spiral and scroll waves in excitable media. Chaos, 12 (3). pp. 636-649. ISSN 1054-1500

Full text not available from this repository.

Abstract

Algebraic formulas predicting the frequencies and shapes of waves in a reaction-diffusion model of excitable media are presented in the form of four recipes. The formulas themselves are based on a detailed asymptotic analysis (published elsewhere) of the model equations at leading order and first order in the asymptotic parameter. The importance of the first order contribution is stressed throughout, beginning with a discussion of the Fife limit, Fife scaling, and Fife regime. Recipes are given for spiral waves and detailed comparisons are presented between the asymptotic predictions and the solutions of the full reaction-diffusion equations. Recipes for twisted scroll waves with straight filaments are given and again comparisons are shown. The connection between the asymptotic results and filament dynamics is discussed, and one of the previously unknown coefficients in the theory of filament dynamics is evaluated in terms of its asymptotic expansion. (C) 2002 American Institute of Physics.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Chaos
Publisher:	American Insitute of Physics
ISSN:	1054-1500
Date:	September 2002
Volume:	12
Number:	3
Number of Pages:	14
Page Range:	pp. 636-649
Identification Number:	10.1063/1.1484875
Status:	Peer Reviewed
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/10625

Data sourced from Thomson Reuters' Web of Knowledge

Request changes to a record

Actions (login required)

View Item