Existence of standing pulse solutions for an excitable activator-inhibitory system

Autor: Dockery, Jack D.
Zdroj: Journal of Dynamics and Differential Equations; April 1992, Vol. 4 Issue: 2 p231-257, 27p
Abstrakt: Invariant manifold techniques are used to establish the existence of a standing wave solution for a system of reaction-diffusion equations modeled after excitable media. As a by-product of the method of proof, we obtain a local uniqueness result.
Databáze: Supplemental Index