Continuation of localised coherent structures in nonlocal neural field equations

We study localised activity patterns in neural field equations posed on the Euclidean plane; such models are commonly used to describe the coarse-grained activity of large ensembles of cortical neurons in a spatially continuous way. We employ matrix-free Newton-Krylov solvers and perform numerical...

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Bibliographic Details
Main Authors: Rankin, James, Avitabile, Daniele, Baladron, Javier, Faye, Gregory, Lloyd, David J.B.
Format: Article
Published: Society for Industrial and Applied Mathematics 2014
Online Access:https://eprints.nottingham.ac.uk/2327/