Activity spread and breathers induced by finite transmission speeds in two-dimensional neural fields
Phys. Rev. E. 2010-11-12; 82(5):
DOI: 10.1103/PhysRevE.82.055701
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1. Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Nov;82(5 Pt 2):055701. Epub 2010
Nov 12.
Activity spread and breathers induced by finite transmission speeds in
two-dimensional neural fields.
Hutt A(1), Rougier N.
Author information:
(1)INRIA Nancy-Grand Est, Team CORTEX, 615 rue du Jardin Botanique, 54600
Villers-les-Nancy, France.
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.
DOI: 10.1103/PhysRevE.82.055701
PMID: 21230538