A one-population Amari model with periodic microstructure

DOI10.1088/0951-7715/27/6/1391zbMath1291.45014OpenAlexW2036642616MaRDI QIDQ5168075

Elena Malyutina, John A. Wyller, Nils E. M. Svanstedt

Publication date: 3 July 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/27/6/1391

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Perturbation theory of linear operators (47A55) Integral operators (45P05) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

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Pattern formation in a 2-population homogenized neuronal network model ⋮ Single bumps in a 2-population homogenized neuronal network model ⋮ Numerical analysis of bump solutions for neural field equations with periodic microstructure ⋮ Two-dimensional Amari neural field model with periodic microstructure: rotationally symmetric bump solutions ⋮ Stationary solutions of continuous and discontinuous neural field equations ⋮ On connection between continuous and discontinuous neural field models with microstructure: II. Radially symmetric stationary solutions in 2D (“bumps”) ⋮ On existence and stability of ring solutions to Amari neural field equation with periodic microstructure and Heaviside activation function

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