Numerical study of a nonlinear fractional chaotic Chua's circuit

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dc.authoridShah, Nehad Ali/0000-0002-1949-5643
dc.contributor.authorShah, Nehad Ali
dc.contributor.authorAhmed, Iftikhar
dc.contributor.authorAsogwa, Kanayo K.
dc.contributor.authorZafar, Azhar Ali
dc.contributor.authorWeera, Wajaree
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:34:02Z
dc.date.available2024-12-24T19:34:02Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractAs an exponentially growing sensitivity to modest perturbations, chaos is pervasive in nature. Chaos is expected to provide a variety of functional purposes in both technological and biological systems. This work applies the time-fractional Caputo and Caputo-Fabrizio fractional derivatives to the Chua type nonlinear chaotic systems. A numerical analysis of the mathematical models is used to compare the chaotic behavior of systems with differential operators of integer order versus systems with fractional differential operators. Even though the chaotic behavior of the classical Chua's circuit has been extensively investigated, our generalization can highlight new aspects of system behavior and the effects of memory on the evolution of the chaotic generalized circuit.
dc.description.sponsorshipNSRF via the Program Management Unit for Human Resources AMP; Institutional Development, Research and Innovation; [B05F650018]
dc.description.sponsorshipThis research received funding support from the NSRF via the Program Management Unit for Human Resources & Institutional Development, Research and Innovation, (grant number B05F650018) . The authors like to thank the reviewers and editor for their valuable comments to improve our paper.
dc.identifier.doi10.3934/math.2023083
dc.identifier.endpage1655
dc.identifier.issn2473-6988
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85140254484
dc.identifier.scopusqualityQ1
dc.identifier.startpage1636
dc.identifier.urihttps://doi.org/10.3934/math.2023083
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8400
dc.identifier.volume8
dc.identifier.wosWOS:000915534400008
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectChaos
dc.subjectnonlinear chaotic systems
dc.subjectCaputo and Caputo-Fabrizio fractional derivatives
dc.subjectchaotic generalized circuit
dc.titleNumerical study of a nonlinear fractional chaotic Chua's circuit
dc.typeArticle

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