title: Activity spread and breathers induced by finite transmission speeds in two-dimensional neural fields.
abstract: The work studies the spatiotemporal activity propagation in a two-dimensional spatial system involving a finite transmission speed. We derive a numerical scheme in detail to integrate the corresponding evolution equation and validate the derived algorithm by a study of a spatially periodic system. Finally, the work demonstrates numerically transmission delay-induced breathers subjected to anisotropic external input.
authors.affiliation: INRIA Nancy-Grand Est, Team CORTEX, 615 rue du Jardin Botanique, 54600 Villers-les-Nancy, France. Axel.Hutt@loria.fr
authors.forename: Axel
authors.initials: A
authors.lastname: Hutt
authors.forename: Nicolas
authors.initials: N
authors.lastname: Rougier