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

Andrie Khrennikov

Discrete Dynamics in Nature and Society, 2000, vol. 5, 1-11

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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:589670

DOI: 10.1155/S1026022600000406

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