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Stabilization of Solutions to a FitzHugh-Nagumo Type System

✍ Scribed by Danielle Hilhorst; Piotr Rybka

Publisher
Springer
Year
2009
Tongue
English
Weight
397 KB
Volume
138
Category
Article
ISSN
0022-4715

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πŸ“œ SIMILAR VOLUMES

A boundary layer solution to a semilinea
A boundary layer solution to a semilinear elliptic system of FitzHugh-Nagumo type
✍ Carolus Reinecke; Guido Sweers πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 438 KB

In this Note we study the semilinear elliptic system (PA) on a bounded domain, where X, 6, y > 0 and f has two consecutive zeroes, for example f(u) = U(U -a)(1 -U) with 0 < a < l/2. The existence, for X large, of a positive solution with boundary layer behavior as well as uniqueness of this solution

Solutions with internal jump for an auto
Solutions with internal jump for an autonomous elliptic system of FitzHugh–Nagumo type
✍ Carolus Reinecke; Guido Sweers πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 891 KB

## Abstract Systems of elliptic partial differential equations which are coupled in a noncooperative way, such as the FitzHugh–Nagumo type studied in this paper, in general do not satisfy order preserving properties. This not only results in technical complications but also yields a richer solution