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A new approach on the modelling, chaos control and synchronization of a fractional biological oscillator

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dc.contributor.author Alshomrani, Ali Saleh
dc.contributor.author Ullah, Malik Zaka
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-02-23T08:27:36Z
dc.date.available 2022-02-23T08:27:36Z
dc.date.issued 2021-01-21
dc.identifier.citation Alshomrani, Ali Saleh; Ullah, Malik Zaka; Baleanu, Dumitru (2021). "A new approach on the modelling, chaos control and synchronization of a fractional biological oscillator", Advances in Difference Equations, Vol. 2021, No. 1. tr_TR
dc.identifier.issn 1687-1839
dc.identifier.uri http://hdl.handle.net/20.500.12416/5043
dc.description.abstract This research aims to discuss and control the chaotic behaviour of an autonomous fractional biological oscillator. Indeed, the concept of fractional calculus is used to include memory in the modelling formulation. In addition, we take into account a new auxiliary parameter in order to keep away from dimensional mismatching. Further, we explore the chaotic attractors of the considered model through its corresponding phase-portraits. Additionally, the stability and equilibrium point of the system are studied and investigated. Next, we design a feedback control scheme for the purpose of chaos control and stabilization. Afterwards, we introduce an efficient active control method to achieve synchronization between two chaotic fractional biological oscillators. The efficiency of the proposed stabilizing and synchronizing controllers is verified via theoretical analysis as well as simulations and numerical experiments. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13662-021-03224-z tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Model tr_TR
dc.subject Biological System tr_TR
dc.subject Chaotic Attractors tr_TR
dc.subject Chaos Control tr_TR
dc.subject Synchronization tr_TR
dc.title A new approach on the modelling, chaos control and synchronization of a fractional biological oscillator tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2021 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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