Homogenization of a Wilson-Cowan model for neural fields

Nils Svanstedt; Jean Louis Woukeng

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arXiv · 1204.6467

Homogenization of a Wilson-Cowan model for neural fields

Nils Svanstedt·Jean Louis Woukeng

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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.

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Nils Svanstedt, Jean Louis Woukeng. 2012-11-09. Homogenization of a Wilson-Cowan model for neural fields. https://arxiv.org/abs/1204.6467

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