Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities

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Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities

In this paper we consider instabilities of localised solutions in planar neural field firing rate models of Wilson-Cowan or Amari type. Importantly we show that angular perturbations can destabilise spatially localised solutions. For a scalar model with Heaviside firing rate function we calculate s...

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Bibliographic Details
Main Authors:	Owen, Markus R., Laing, Carlo, Coombes, Stephen
Format:	Article
Published:	IOP Publishing 2007
Subjects:	Bumps Evans function Goldstone modes Neural fields Rings
Online Access:	https://eprints.nottingham.ac.uk/564/

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