SELF-ORGANIZATION IN NONADDITIVE SYSTEMS WITH EXTERNAL NOISE

dc.contributor.authorBagci, G. Baris
dc.contributor.authorTirnakli, Ugur
dc.date.accessioned2019-10-27T21:19:12Z
dc.date.available2019-10-27T21:19:12Z
dc.date.issued2009
dc.departmentEge Üniversitesien_US
dc.description.abstractA nonadditive generalization of Klimontovich's S-theorem [Bagci, 2008] has recently been obtained by employing Tsallis entropy. This general version allows one to study physical systems whose stationary distributions are of the inverse power law in contrast to the original S-theorem, which only allows exponential stationary distributions. The nonadditive S-theorem has been applied to the modified Van der Pol oscillator with inverse power law stationary distribution. By using nonadditive S-theorem, it is shown that the entropy decreases as the system is driven out of equilibrium, indicating self-organization in the system. The allowed values of the nonadditivity index q are found to be confined to the regime (0.5, 1].en_US
dc.description.sponsorshipTUBITAK (Turkish Agency)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [108T013]en_US
dc.description.sponsorshipWe thank B. Bakar for his helpful comments. This work has been supported by TUBITAK (Turkish Agency) under the Research Project number 108T013.en_US
dc.identifier.doi10.1142/S021812740902533X
dc.identifier.endpage4252en_US
dc.identifier.issn0218-1274
dc.identifier.issn0218-1274en_US
dc.identifier.issue12en_US
dc.identifier.startpage4247en_US
dc.identifier.urihttps://doi.org/10.1142/S021812740902533X
dc.identifier.urihttps://hdl.handle.net/11454/44110
dc.identifier.volume19en_US
dc.identifier.wosWOS:000275981000014en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal of Bifurcation and Chaosen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectS-theoremen_US
dc.subjectrenormalized entropyen_US
dc.subjectself-organizationen_US
dc.subjectadditive noiseen_US
dc.titleSELF-ORGANIZATION IN NONADDITIVE SYSTEMS WITH EXTERNAL NOISEen_US
dc.typeArticleen_US

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