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...
| Main Authors: | , , |
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| Format: | Article |
| Published: |
IOP Publishing
2007
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| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/564/ |