CLOSING PROBABILITIES IN THE KAUFFMAN MODEL - AN ANNEALED COMPUTATION

Citation
U. Bastolla et G. Parisi, CLOSING PROBABILITIES IN THE KAUFFMAN MODEL - AN ANNEALED COMPUTATION, Physica. D, 98(1), 1996, pp. 1-25
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
ISSN journal
01672789
Volume
98
Issue
1
Year of publication
1996
Pages
1 - 25
Database
ISI
SICI code
0167-2789(1996)98:1<1:CPITKM>2.0.ZU;2-Q
Abstract
We use a probabilistic approach to compute the distributions of period s, transients and weights of attraction basins in Kauffman networks. T he results for these quantities are obtained in the framework of the a nnealed approximation, first introduced by Derrida and Pomeau. Numeric al results for the average periods are in good agreement with the comp uted values of the exponents. We report also on some interesting featu res which cannot be explained within the annealed approximation.