Homogenization of a Wilson-Cowan model for neural fields
Artikel i vetenskaplig tidskrift, 2013

Homogenization of Wilson-Cowan type of nonlocal neural field models is investigated. Motivated by the presence of a convolution term in this type of models, we first prove some general convergence results related to convolution sequences. We then apply these 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.

Homogenization

waves

equations

Algebra with mean value

Neural field models

dynamics

media

2-scale convergence

generalized besicovitch spaces

Wilson-Cowan equations

Författare

Nils Svanstedt

Chalmers, Matematiska vetenskaper

Göteborgs universitet

J. L. Woukeng

Nonlinear Analysis: Real World Applications

1468-1218 (ISSN)

Vol. 14 1705-1715

Ämneskategorier

Matematik

DOI

10.1016/j.nonrwa.2012.11.006