A new hyperchaotic system from T chaotic system: dynamical analysis, circuit implementation, control and synchronization

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dc.authoridAKGUL, Akif / 0000-0001-9151-3052
dc.authorwosidAKGUL, Akif / A-2225-2016
dc.contributor.authorEmiroglu, Selcuk
dc.contributor.authorAkgul, Akif
dc.contributor.authorAdiyaman, Yusuf
dc.contributor.authorGumus, Talha Enes
dc.contributor.authorUyaroglu, Yilmaz
dc.contributor.authorYalcin, Mehmet Ali
dc.date.accessioned2021-11-01T15:05:53Z
dc.date.available2021-11-01T15:05:53Z
dc.date.issued2021
dc.department[Belirlenecek]
dc.description.abstractPurpose The purpose of this paper is to develop new four-dimensional (4D) hyperchaotic system by adding another state variable and linear controller to three-dimensional T chaotic dynamical systems. Its dynamical analyses, circuit experiment, control and synchronization applications are presented. Design/methodology/approach A new 4D hyperchaotic attractor is achieved through a simulation, circuit experiment and mathematical analysis by obtaining the Lyapunov exponent spectrum, equilibrium, bifurcation, Poincare maps and power spectrum. Moreover, hardware experimental measurements are performed and obtained results well validate the numerical simulations. Also, the passive control method is presented to make the new 4D hyperchaotic system stable at the zero equilibrium and synchronize the two identical new 4D hyperchaotic system with different initial conditions. Findings The passive controllers can stabilize the new 4D chaotic system around equilibrium point and provide the synchronization of new 4D chaotic systems with different initial conditions. The findings from Matlab simulations, circuit design simulations in computer and physical circuit experiment are consistent with each other in terms of comparison. Originality/value The 4D hyperchaotic system is presented, and dynamical analysis and numerical simulation of the new hyperchaotic system were firstly carried out. The circuit of new 4D hyperchaotic system is realized, and control and synchronization applications are performed.
dc.identifier.doi10.1108/CW-09-2020-0223
dc.identifier.issn0305-6120
dc.identifier.issn1758-602X
dc.identifier.scopus2-s2.0-85106297067
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1108/CW-09-2020-0223
dc.identifier.urihttps://hdl.handle.net/11491/7431
dc.identifier.wosWOS:000653108500001
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[Belirlenecek]
dc.language.isoen
dc.publisherEmerald Group Publishing Ltd
dc.relation.ispartofCircuit World
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectHyperchaotic systemen_US
dc.subjectCircuit realizationen_US
dc.subjectPassive controlen_US
dc.subjectSynchronizationen_US
dc.titleA new hyperchaotic system from T chaotic system: dynamical analysis, circuit implementation, control and synchronization
dc.typeArticle

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