\(p\)-adic discrete dynamical systems and collective behaviour of information states in cognitive models
type: Item
instance of: scholarly article
title: \(p\)-adic discrete dynamical systems and collective behaviour of information states in cognitive models
zbMATH Open document ID: 1229.37128
DOI: 10.1155/S1026022600000406
published in: Discrete Dynamics in Nature and Society
publication date: 2012-01-16T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 37N99
Mathematics Subject Classification ID: 94B40
zbMATH DE Number: 5997770
zbMATH Keywords: \(p\)-adic trees
zbMATH Keywords: dynamical systems
zbMATH Keywords: cognitive models
zbMATH Keywords: hierarchic thinning
author: Andrei Khrennikov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5997770