| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9653544 | Neurocomputing | 2005 | 6 Pages |
Abstract
A quarter of a century ago Amari (Biol. Cybernet. 27 (1977) 77-87) has presented a comprehensive and very elegant solution of the one-dimensional neural field equation. In the two-dimensional case analytical results on localized solutions are available under the assumption of rotational invariance, as numerical evidence indicates that no other stable solutions exist. We present analytic results for a special case of a “tophat” interaction function, which partially justifies the implicit assumption of circular solutions and allows us to discuss the possibility of non-generic deviations from circularity.
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Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
J. Michael Herrmann, Hecke Schrobsdorff, Theo Geisel,