Random Attractors for the Stochastic FitzHugh-Nagumo System on Unbounded Domains
Analysis of PDEs
2008-06-03 v1 Dynamical Systems
Abstract
The existence of a random attractor for the stochastic FitzHugh-Nagumo system defined on an unbounded domain is established. The pullback asymptotic compactness of the stochastic system is proved by uniform estimates on solutions for large space and time variables. These estimates are obtained by a cut-off technique.
Keywords
Cite
@article{arxiv.0806.0100,
title = {Random Attractors for the Stochastic FitzHugh-Nagumo System on Unbounded Domains},
author = {Bixiang Wang},
journal= {arXiv preprint arXiv:0806.0100},
year = {2008}
}
Comments
32 pages