Homogenization of a Wilson-Cowan model for neural fields
Analysis of PDEs
2012-11-12 v2
Abstract
Homogenization of Wilson-Cowan type of nonlocal neural field models is investigated. Motivated by the presence of a convolution terms in this type of models, we first prove some general convergence results related to convolution sequences. We then apply theses results to the homogenization problem of the Wilson-Cowan type model in a general deterministic setting. Key ingredients in this study are the notion of algebras with mean value and the related concept of sigma-convergence.
Keywords
Cite
@article{arxiv.1204.6467,
title = {Homogenization of a Wilson-Cowan model for neural fields},
author = {Nils Svanstedt and Jean Louis Woukeng},
journal= {arXiv preprint arXiv:1204.6467},
year = {2012}
}
Comments
14 pages. To appear In Nonlinear Analysis: Real World Applications