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A new adaptive synchronization and hyperchaos control of a biological snap oscillator

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dc.contributor.author Sajjadi, Samaneh Sadat
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Jajarmi, Amin
dc.contributor.author Pirouz, Hassan Mohammadi
dc.date.accessioned 2022-02-23T08:27:32Z
dc.date.available 2022-02-23T08:27:32Z
dc.date.issued 2020-09
dc.identifier.citation Sajjadi, Samaneh Sadat...et al. (2020). "A new adaptive synchronization and hyperchaos control of a biological snap oscillator", Chaos Solitons & Fractals, Vol. 138. tr_TR
dc.identifier.issn 2590-0544
dc.identifier.uri http://hdl.handle.net/20.500.12416/5042
dc.description.abstract The purpose of this paper is to analyze and control the hyperchaotic behaviours of a biological snap oscillator. We mainly study the chaos control and synchronization of a hyperchaotic model in both the frameworks of classical and fractional calculus, respectively. First, the phase portraits of the considered model and its hyperchaotic attractors are analyzed. Then two efficacious optimal and adaptive controllers are designed to compensate the undesirable hyperchaotic behaviours. Moreover, applying an efficient adaptive control procedure, we generally synchronize two identical biological snap oscillator models. Finally, a new fractional model is proposed for the considered oscillator in order to acquire the hyperchaotic attractors. Indeed, the fractional calculus leads to more realistic and flexible models with memory effects, which could help us to design more efficient controllers. Considering this feature, we apply a linear state-feedback controller as well as an active control scheme to control hyperchaos and achieve synchronization, respectively. The related theoretical consequences are numerically justified via the obtained simulations and experiments. (C) 2020 Elsevier Ltd. All rights reserved. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.chaos.2020.109919 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Biological Oscillator tr_TR
dc.subject Hyperchaos Control tr_TR
dc.subject Hyperchaotic System tr_TR
dc.subject Adaptive Synchronization tr_TR
dc.subject Fractional Model tr_TR
dc.title A new adaptive synchronization and hyperchaos control of a biological snap oscillator tr_TR
dc.type article tr_TR
dc.relation.journal Chaos Solitons & Fractals tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 138 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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