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Control, electronic circuit application and fractional-order analysis of hidden chaotic attractors in the self-exciting homopolar disc dynamo

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dc.contributor.authorWei, Zhouchao
dc.contributor.authorAkgül, Akif
dc.contributor.authorMoroz, Irene
dc.contributor.authorZhang, Wei
dc.contributor.buuauthorKocamaz, Uğur Erkin
dc.contributor.departmentKaracabey Meslek Yüksekokulu
dc.contributor.departmentBilgisayar Teknolojileri Bölümü
dc.contributor.orcid0000-0003-1172-9465
dc.contributor.researcheridAAE-3356-2019
dc.contributor.scopusid55549566400
dc.date.accessioned2024-03-06T08:24:51Z
dc.date.available2024-03-06T08:24:51Z
dc.date.issued2018-06
dc.description.abstractBased on the segmented disc dynamo proposed by H. K. Moffatt, we give out the hidden chaotic attractors, which can show the imperfection in the dynamo model. In this paper. control of hidden chaos in the model is investigated by Lyapunov based nonlinear feedback controllers, sliding mode controllers and hybrid combination of them. Numerical simulations on the comparative analyses are presented. Moreover, with the aid of ORCAD-Pspice and oscilloscope, hidden chaos can be implemented by electronic circuit. Compared with the phase portraits using MATLAB, the simulation results of the oscilloscope outputs verify the effectiveness of electronic circuit design. Finally, in order to consider the effects of fractional order, we analyze the fractional order chaotic system (FOCS) and consider its FPGA implementation for the self-exciting homopolar disc dynamo. The results are helpful for us to better understand the dynamics behavior of disc dynamos. (C) 2018 Elsevier Ltd. All rights reserved.
dc.description.sponsorshipNational Natural Science Foundation of China (NSFC) (11772306)
dc.description.sponsorshipScientific Research Program of Hubei Provincial Department of Education (B2017599)
dc.description.sponsorshipOpen Foundation for Guangxi Colleges and Universities Key Lab of Complex System Optimization and Big Data Processing (2016CSOBDP0202)
dc.description.sponsorshipFundamental Research Funds for the Central Universities
dc.description.sponsorshipChina University of Geosciences (Wuhan) (CUGL150419)
dc.description.sponsorshipSakarya University (201609-00-008)
dc.identifier.citationWei, Z. vd. (2018). ''Control, electronic circuit application and fractional-order analysis of hidden chaotic attractors in the self-exciting homopolar disc dynamo''. Chaos, Solitons and Fractals, 111, 157-168.
dc.identifier.doi10.1016/j.chaos.2018.04.020
dc.identifier.endpage168
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85045705711
dc.identifier.startpage157
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0960077918301656
dc.identifier.urihttps://hdl.handle.net/11452/40243
dc.identifier.volume111
dc.identifier.wos000433215200017
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherPergamon-Elsevier Science
dc.relation.collaborationYurt dışı
dc.relation.collaborationYurt içi
dc.relation.journalChaos, Solitons and Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMathematics
dc.subjectPhysics
dc.subjectHomopolar disc dynamo
dc.subjectHidden attractor
dc.subjectChaos control
dc.subjectCircuit application
dc.subjectFractional order chaotic system
dc.subjectFPGA realization
dc.subjectSliding mode control
dc.subjectConvective fluid motion
dc.subjectNonlinear control
dc.subjectFPGA implementation
dc.subjectStable equilibria
dc.subjectSystem
dc.subjectSynchronization
dc.subjectDesing
dc.subjectFlows
dc.subjectCathode ray oscilloscopes
dc.subjectControllers
dc.subjectField programmable gate arrays (FPGA)
dc.subjectIntegrated circuit manufacture
dc.subjectInteractive devices
dc.subjectMATLAB
dc.subjectNonlinear control systems
dc.subjectNonlinear feedback
dc.subjectSliding mode control
dc.subjectSPICE
dc.subjectTiming circuits
dc.subjectChaos control
dc.subjectCircuit application
dc.subjectFractional-order chaotic systems
dc.subjectHidden attractor
dc.subjectHomo-polar
dc.subjectChaotic systems
dc.subject.scopusHyperchaotic System; Attractor; Phase Portrait
dc.subject.wosMathematics, interdisciplinary applications
dc.subject.wosPhysics, multidisciplinary
dc.subject.wosPhysics, mathematical
dc.titleControl, electronic circuit application and fractional-order analysis of hidden chaotic attractors in the self-exciting homopolar disc dynamo
dc.typeArticle
dspace.entity.typePublication
local.contributor.departmentKaracabey Meslek Yüksekokulu/Bilgisayar Teknolojileri Bölümü
local.indexed.atScopus
local.indexed.atWOS

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