| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9501664 | Journal of Differential Equations | 2005 | 25 Pages |
Abstract
We construct clustered spots for the following FitzHugh-Nagumo system:ε2Îu+f(u)-δv=0inΩ,Îv+u=0inΩ,u=v=0onâΩ,where Ω is a smooth and bounded domain in R2. More precisely, we show that for any given integer K, there exists an εK>0 such that for 0<ε<εK,εmâ²â©½Î´â©½Îµm for some positive numbers mâ²,m, there exists a solution (uε,vε) to the FitzHugh-Nagumo system with the property that uε has K spikes Q1ε,â¦,QKε and the following holds:
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Juncheng Wei, Matthias Winter,