Details

Autor(en) / Beteiligte

• Ermentrout, G. B.
• Cowan, J. D.

Titel

Large Scale Spatially Organized Activity in Neural Nets

Ist Teil von

• SIAM journal on applied mathematics, 1980-02, Vol.38 (1), p.1-21

Ort / Verlag

Philadelphia: Society for Industrial and Applied Mathematics

Erscheinungsjahr

1980

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• A model for the spatiotemporal activity of neuronal nets is proposed. Stationary periodic spatial patterns are discussed from the point of view of bifurcation theory. Existence of spatial patterns on the whole line is established by the implicit function theorem. Singularity theory is used to study the local structure of the bifurcation equations. A Poincare-Lindstedt series is developed to establish the form of the periodic stationary states and their stability. The biological relevance of these patterns is briefly discussed.