Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501844 | Journal of Differential Equations | 2005 | 36 Pages |
Abstract
We find nucleation solutions of N interfaces and K spikes to the one-dimensional FitzhHugh-Nagumo system. Each spike sits asymptotically in the middle between two interfaces. We use the Lyapunov-Schmidt reduction method, in which the problem is split into a finite-dimensional problem related to the translation of the K spikes and an infinite-dimensional complement problem. However the complement problem remains near degenerate due to the translation of the N interfaces. To overcome this difficulty we move the interfaces by a small distance and solve the complement problem with the help of a Newton iteration argument.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Xiaofeng Ren, Juncheng Wei,