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

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  • Andrie Khrennikov

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.

Suggested Citation

  • Andrie Khrennikov, 2000. "p -Adic discrete dynamical systems and collective behaviour of information states in cognitive models," Discrete Dynamics in Nature and Society, Hindawi, vol. 5, pages 1-11, January.
    • Handle: RePEc:hin:jnddns:589670
    DOI: 10.1155/S1026022600000406
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    Cited by:

    1. Khrennikov, Andrei Yu., 2009. "Gene expression from polynomial dynamics in the 2-adic information space," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 341-347.

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