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

dc.contributor.authorTalbi, Ibtissem
dc.contributor.authorOuannas, Adel
dc.contributor.authorGrassi, Giuseppe
dc.contributor.authorKhennaoui, Amina-Aicha
dc.contributor.authorPham, Viet-Thanh
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-04-29T12:57:36Z
dc.date.available2022-04-29T12:57:36Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractInvestigating 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.en_US
dc.identifier.citationTalbi, 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.en_US
dc.identifier.doi10.1155/2020/8825694
dc.identifier.issn1026-0226
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5453
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofDiscrete Dynamics in Nature and Societyen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleFractional Grassi–Miller map based on the Caputo H-difference operator: Linear methods for chaos control and synchronizationtr_TR
dc.titleFractional Grassi–miller Map Based on the Caputo H-Difference Operator: Linear Methods for Chaos Control and Synchronizationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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