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Discrete Dynamics in Nature and Society
Volume 5, Issue 1, Pages 59-69
http://dx.doi.org/10.1155/S1026022600000406

p-Adic discrete dynamical systems and collective behaviour of information states in cognitive models

Department of Mathematics, Statistics and Computer Sciences, University of Växjö, S-35195, Sweden

Received 13 January 2000

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We develop a model of functioning of complex information systems (in particular, cognitive systems) in that information states are coded by p-adic integers. An information state evolves by iterations of a discrete p-adic dynamical system. The p-adic utrametric on the space of information states (p-adic homogeneous tree) describes the ability of an information system to operate with associations. The main attention is paid to the collective dynamics of families of associations.