J. Phys. I France
Volume 2, Numéro 1, January 1992
Page(s) 55 - 62
DOI: 10.1051/jp1:1992122
J. Phys. I France 2 (1992) 55-62

Simulation of a multineuron interaction model

J. J. Arenzon1, R. M. C. de Almeida1, J. R. Iglesias1, T. J. P. Penna2 and P. M. C. de Oliveira2

1  Instituto de Física, Universidade Federal do Rio Grande do Sul, C.P. 15051, 91500 Porto Alegre, RS, Brazil
2  Instituto de Física, Universidade Federal Fluminense, C.P. 100296, 24020 Niterói, RJ, Brazil

(Received 2 July 1991, accepted in final form 6 September 1991)

We simulate the dynamics of a multineuron model (RS model) with an energy function given by the product between the squared distances in phase space between the state of the net and the stored patterns. We obtain the relative frequency f(m0) that an arbitrary pattern is retrieved from an initial overlap m0 and estimate the size of the basins of attraction for different activities a. Two limit cases are taken into account : when patterns and antipatterns are stored (p.a.s.) and when only the patterns are stored (o.p.s.). For the a=0.5, p.a.s. nets a limit for the load parameter was not found, but for the other cases ( $a\neq 0.5$ or o.p.s. configuration) the relative size of the basins of attraction may become too small.

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