Chaotic dynamics of the fractional order nonlinear system with time delay

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dc.contributor.authorCelik, Vedat
dc.contributor.authorDemir, Yakup
dc.date.accessioned2026-08-12T17:15:20Z
dc.date.issued2014
dc.departmentFırat Üniversitesi
dc.description.abstractThis paper presents the fractional order model of a nonlinear autonomous continuous-time difference-differential equation with only one variable. Numerical simulation results of the fractional order model demonstrate the existence of chaos when system order . Values of the delay time in which chaotic behavior is observed at system order are quantitatively defined using the largest Lyapunov exponents obtained from the output time series.
dc.identifier.doi10.1007/s11760-013-0461-2
dc.identifier.endpage70
dc.identifier.issn1863-1703
dc.identifier.issn1863-1711
dc.identifier.issue1
dc.identifier.orcid0000-0001-8870-8465
dc.identifier.scopus2-s2.0-84891854498
dc.identifier.scopusqualityQ2
dc.identifier.startpage65
dc.identifier.urihttps://doi.org/10.1007/s11760-013-0461-2
dc.identifier.urihttps://hdl.handle.net/11508/52161
dc.identifier.volume8
dc.identifier.wosWOS:000329357900006
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer London Ltd
dc.relation.ispartofSignal Image and Video Processing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectChaos
dc.subjectFractional operators
dc.subjectFractional order time delayed nonlinear system
dc.subjectLargest Lyapunov exponents
dc.titleChaotic dynamics of the fractional order nonlinear system with time delay
dc.typeArticle

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