A non-linear discrete transform for pattern recognition of discrete chaotic systems

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dc.contributor.authorKaranikas, C
dc.contributor.authorProios, G
dc.date.accessioned2019-10-27T18:59:55Z
dc.date.available2019-10-27T18:59:55Z
dc.date.issued2003
dc.departmentEge Üniversitesien_US
dc.descriptionConference on Applied Nonlinear Dynamics: From Semiconductors to Information Technologies -- AUG 27-30, 2001 -- THESSALONIKI, GREECEen_US
dc.description.abstractIt is shown, by an invertible non-linear discrete transform that any finite sequence or any collection of strings of any length can be presented as a random walk on trees. These transforms create the mathematical background for coding any information, for exploring its local variability and diversity. With the underlying computational algorithms, with several examples and applications we propose that these transforms can be used for pattern recognition of immune type. In other words we propose a mathematical platform for detecting self and non-self strings of any alphabet, based on a negative selection algorithms, for scouting data's periodicity and self-similarity and for measuring the diversity of chaotic strings with fractal dimension methods. In particular we estimate successfully the entropy and the ratio of chaotic data with self similarity. Moreover we give some applications of a non-linear denoising filter. (C) 2002 Elsevier Science Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/S0960-0779(02)00341-7
dc.identifier.endpage201en_US
dc.identifier.issn0960-0779
dc.identifier.issn0960-0779en_US
dc.identifier.issue02.Maren_US
dc.identifier.startpage195en_US
dc.identifier.urihttps://doi.org/10.1016/S0960-0779(02)00341-7
dc.identifier.urihttps://hdl.handle.net/11454/37709
dc.identifier.volume17en_US
dc.identifier.wosWOS:000182147500004en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleA non-linear discrete transform for pattern recognition of discrete chaotic systemsen_US
dc.typeArticleen_US

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