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.
Original language | English |
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Pages (from-to) | 679 - 684 |
Number of pages | 6 |
Journal | Neurocomputing |
Volume | 65–66 |
DOIs | |
Publication status | Published - 2005 |