Persistence of spatial patterns produced by neural field equations

DOI10.1016/j.physd.2006.02.002zbMath1101.45003OpenAlexW2019521403MaRDI QIDQ2499765

Angela Murdock, James E. Jamison, Maria Fernanda Botelho

Publication date: 14 August 2006

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2006.02.002

zbMATH Keywords

linear stabilityneural networksintegro-differential equationlateral inhibitionMexican hatmulti-bumptwo-bump stationary solutions

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Stability theory for integral equations (45M10)

Related Items (4)

Multi-bump solutions in a neural field model with external inputs ⋮ Spatially localized solutions of the Hammerstein equation with sigmoid type of nonlinearity ⋮ Two bump solutions of a homogenized Wilson-Cowan model with periodic microstructure ⋮ On existence and stability of ring solutions to Amari neural field equation with periodic microstructure and Heaviside activation function

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