p-Adic discrete dynamical systems and collective behaviour of information states in cognitive models
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-a...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S1026022600000406 |
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| _version_ | 1832562829787398144 |
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| author | Andrie Khrennikov |
| author_facet | Andrie Khrennikov |
| author_sort | Andrie Khrennikov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-9d0a46f247ff4e4eb86f34acb16b3279 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-9d0a46f247ff4e4eb86f34acb16b32792025-02-03T01:21:47ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2000-01-0151596910.1155/S1026022600000406p-Adic discrete dynamical systems and collective behaviour of information states in cognitive modelsAndrie Khrennikov0Department of Mathematics, Statistics and Computer Sciences, University of Växjö, S-35195, SwedenWe 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.http://dx.doi.org/10.1155/S1026022600000406p-Adic trees; Dynamical systems; Cognitive models; Hierarchic thinning. |
| spellingShingle | Andrie Khrennikov p-Adic discrete dynamical systems and collective behaviour of information states in cognitive models Discrete Dynamics in Nature and Society p-Adic trees; Dynamical systems; Cognitive models; Hierarchic thinning. |
| title | p-Adic discrete dynamical systems and collective behaviour of information states in cognitive models |
| title_full | p-Adic discrete dynamical systems and collective behaviour of information states in cognitive models |
| title_fullStr | p-Adic discrete dynamical systems and collective behaviour of information states in cognitive models |
| title_full_unstemmed | p-Adic discrete dynamical systems and collective behaviour of information states in cognitive models |
| title_short | p-Adic discrete dynamical systems and collective behaviour of information states in cognitive models |
| title_sort | p adic discrete dynamical systems and collective behaviour of information states in cognitive models |
| topic | p-Adic trees; Dynamical systems; Cognitive models; Hierarchic thinning. |
| url | http://dx.doi.org/10.1155/S1026022600000406 |
| work_keys_str_mv | AT andriekhrennikov padicdiscretedynamicalsystemsandcollectivebehaviourofinformationstatesincognitivemodels |