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

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.

Domaines: Modélisation et simulation

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, 2010, 82, pp.R055701. ⟨inria-00533067⟩