Pattern-Dynamics in Excitable Reaction-Diffusion Systems

M. Mimura
Additional contact information
M. Mimura: Hiroshima University, Department of Mathematics

A chapter in Biomathematics and Related Computational Problems, 1988, pp 669-676 from Springer

Abstract: Abstract We survey some problems and related recent results of the two-component system of excitable reaction-diffusion equations involving two parameters ε and τ, $$ \left\{ {\begin{array}{*{20}{c}} {\varepsilon \tau {{u}_{t}} = {{\varepsilon }^{2}}{{\nabla }^{2}}u + f(u,v)} \\ {{{v}^{t}} = {{\nabla }^{2}}v + g(u,v).} \\ \end{array} } \right.$$ For sufficiently small ε, several types of internal layer-solutions such as stationary solutions and traveling wave solutions are considered. Especially, the dependency of the parameter τ on the stability as well as existence of such solutions is studied.

Date: 1988
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2975-3_60

Ordering information: This item can be ordered from
http://www.springer.com/9789400929753

DOI: 10.1007/978-94-009-2975-3_60

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().