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Homogenization of a Wilson-Cowan model for neural fields

Nils Svanstedt (Institutionen för matematiska vetenskaper) ; J. L. Woukeng
Nonlinear Analysis (1468-1218). Vol. 14 (2013), 3, p. 1705-1715.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Neural field models, Wilson-Cowan equations, Algebra with mean value, Homogenization, generalized besicovitch spaces, 2-scale convergence, equations, dynamics, waves, media

Denna post skapades 2013-04-05. Senast ändrad 2013-04-08.
CPL Pubid: 175389


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