Localized activations in a simple neural field model

5Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.
Get full text

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. © 2004 Elsevier B.V. All rights reserved.

Cite

CITATION STYLE

APA

Herrmann, J. M., Schrobsdorff, H., & Geisel, T. (2005). Localized activations in a simple neural field model. Neurocomputing, 6566(SPEC. ISS.), 679–684. https://doi.org/10.1016/j.neucom.2004.10.097

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free