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

Axel Hutt | Zendy; Nicolas P. Rougier | Zendy

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

Author(s) -

Axel Hutt,

Nicolas P. Rougier

Publication year - 2010

Publication title -

physical review e

Language(s) - English

Resource type - Journals

eISSN - 1550-2376

pISSN - 1539-3755

DOI - 10.1103/physreve.82.055701

Subject(s) - breather , transmission (telecommunications) , work (physics) , anisotropy , statistical physics , physics , computer science , mathematical analysis , mathematics , nonlinear system , optics , telecommunications , quantum mechanics

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.

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