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A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Zibaei, Sadegh
dc.contributor.author Namjoo, Mehran
dc.contributor.author Jajarmi, Amin
dc.date.accessioned 2022-03-01T12:52:59Z
dc.date.available 2022-03-01T12:52:59Z
dc.date.issued 2021-06-26
dc.identifier.citation Baleanu, Dumitru...et al. (2021). "A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system", Advances in Difference Equations, Vol. 2021, No. 1. tr_TR
dc.identifier.issn 1687-1839
dc.identifier.uri http://hdl.handle.net/20.500.12416/5061
dc.description.abstract The aim of this paper is to introduce and analyze a novel fractional chaotic system including quadratic and cubic nonlinearities. We take into account the Caputo derivative for the fractional model and study the stability of the equilibrium points by the fractional Routh-Hurwitz criteria. We also utilize an efficient nonstandard finite difference (NSFD) scheme to implement the new model and investigate its chaotic behavior in both time-domain and phase-plane. According to the obtained results, we find that the new model portrays both chaotic and nonchaotic behaviors for different values of the fractional order, so that the lowest order in which the system remains chaotic is found via the numerical simulations. Afterward, a nonidentical synchronization is applied between the presented model and the fractional Volta equations using an active control technique. The numerical simulations of the master, the slave, and the error dynamics using the NSFD scheme are plotted showing that the synchronization is achieved properly, an outcome which confirms the effectiveness of the proposed active control strategy. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13662-021-03454-1 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Chaos tr_TR
dc.subject Nonstandard Finite Difference Scheme tr_TR
dc.subject Nonidentical Synchronization tr_TR
dc.subject Active Control tr_TR
dc.title A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system 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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