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Fractional Grassi–Miller map based on the Caputo H-difference operator: Linear methods for chaos control and synchronization

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dc.contributor.author Talbi, Ibtissem
dc.contributor.author Ouannas, Adel
dc.contributor.author Grassi, Giuseppe
dc.contributor.author Khennaoui, Amina-Aicha
dc.contributor.author Pham, Viet-Thanh
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-04-29T12:57:36Z
dc.date.available 2022-04-29T12:57:36Z
dc.date.issued 2020
dc.identifier.citation Talbi, Ibtissem...et al. (2020). "Fractional Grassi–Miller map based on the Caputo H-difference operator: Linear methods for chaos control and synchronization", Discrete Dynamics in Nature and Society, Vol. 2020. tr_TR
dc.identifier.issn 1026-0226
dc.identifier.uri http://hdl.handle.net/20.500.12416/5453
dc.description.abstract Investigating dynamic properties of discrete chaotic systems with fractional order has been receiving much attention recently. This paper provides a contribution to the topic by presenting a novel version of the fractional Grassi–Miller map, along with improved schemes for controlling and synchronizing its dynamics. By exploiting the Caputo h-difference operator, at first, the chaotic dynamics of the map are analyzed via bifurcation diagrams and phase plots. Then, a novel theorem is proved in order to stabilize the dynamics of the map at the origin by linear control laws. Additionally, two chaotic fractional Grassi–Miller maps are synchronized via linear controllers by utilizing a novel theorem based on a suitable Lyapunov function. Finally, simulation results are reported to show the effectiveness of the approach developed herein. Copyright © 2020 Ibtissem Talbi et al. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1155/2020/8825694 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.title Fractional Grassi–Miller map based on the Caputo H-difference operator: Linear methods for chaos control and synchronization tr_TR
dc.type article tr_TR
dc.relation.journal Discrete Dynamics in Nature and Society tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2020 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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