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Estimating the bound set of a chaotic system and its application in chaos synchronization

dc.contributor.authorKhan, Ayuben_US
dc.contributor.authorAli, Shadaben_US
dc.contributor.authorKhan, Arshaden_US
dc.date.accessioned2025-05-05T05:48:08Z
dc.date.available2025-05-05T05:48:08Z
dc.date.issued2025-05-01
dc.identifier.citationKhan, A., Ali, S. & Khan, A. (2025). Estimating the bound set of a chaotic system and its application in chaos synchronization. TWMS Journal of Applied and Engineering Mathematics, 15(5), 1048-1062.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttps://jaem.isikun.edu.tr/web/index.php/current/131-vol15no5/1389
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6728
dc.description.abstractIn this paper, we investigate the ultimate bound set for a chaotic system. Based on Lagrange multiplier method, an optimization problem has been done analytically to calculate a precise ultimate bound set of the chaotic system. Apart from that application of the bound set is also discussed and it can be used to study chaos synchronization. Synchronization has been realized between two identical chaotic systems via globally exponential approach. Resulting bound sets and synchronization are quantitatively tested to illustrate the effectiveness of the theoretical analysis.en_US
dc.language.isoengen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectLagrange multiplieren_US
dc.subjectUltimate bound seten_US
dc.subjectSynchronizationen_US
dc.titleEstimating the bound set of a chaotic system and its application in chaos synchronizationen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume15
dc.identifier.issue5
dc.identifier.startpage1048
dc.identifier.endpage1062
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US


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