Homogenization of a Wilson-Cowan model for neural fields
Journal article, 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
Author
Nils Svanstedt
Chalmers, Mathematical Sciences
University of Gothenburg
J. L. Woukeng
Nonlinear Analysis: Real World Applications
1468-1218 (ISSN)
Vol. 14 3 1705-1715Subject Categories
Mathematics
DOI
10.1016/j.nonrwa.2012.11.006