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Activity spread and breathers induced by finite transmission speeds in two-dimensional neural fields

Axel Hutt 1 Nicolas P. Rougier 1
1 CORTEX - Neuromimetic intelligence
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : The work studies the spatio-temporal activity propagation in a two-dimensional spatial system involving a nite transmission speed. We derive a numerical scheme in detail to integrate the cor- responding evolution equation and validate the derived algorithm by a study of a spatially periodic system. Finally, the work demonstrates numerically novel transmission delay-induced breathers subjected to anisotropic external input.
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Submitted on : Saturday, November 6, 2010 - 10:07:49 AM
Last modification on : Tuesday, June 9, 2020 - 11:10:03 AM
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Axel Hutt, Nicolas P. Rougier. Activity spread and breathers induced by finite transmission speeds in two-dimensional neural fields. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2010, 82, pp.R055701. ⟨inria-00533067⟩

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