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Bifurcations, Hidden Chaos and Control in Fractional Maps

dc.contributor.authorOuannas, Adel
dc.contributor.authorAlmatroud, Othman Abdullah
dc.contributor.authorKhennaoui, Amina Aicha
dc.contributor.authorAlsawalha, Mohammad Mossa
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorHuynh, Van Van
dc.contributor.authorPham, Viet-Thanh
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-01-07T11:41:54Z
dc.date.available2021-01-07T11:41:54Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractRecently, hidden attractors with stable equilibria have received considerable attention in chaos theory and nonlinear dynamical systems. Based on discrete fractional calculus, this paper proposes a simple two-dimensional and three-dimensional fractional maps. Both fractional maps are chaotic and have a unique equilibrium point. Results show that the dynamics of the proposed fractional maps are sensitive to both initial conditions and fractional order. There are coexisting attractors which have been displayed in terms of bifurcation diagrams, phase portraits and a 0-1 test. Furthermore, control schemes are introduced to stabilize the chaotic trajectories of the two novel systems.en_US
dc.description.publishedMonth6
dc.identifier.citationOuannas, Adel...et al. (2020). "Bifurcations, Hidden Chaos and Control in Fractional Maps", Symmetry-Basel, Vol. 12, No. 6.en_US
dc.identifier.doi10.3390/sym12060879
dc.identifier.issn2073-8994
dc.identifier.issue6en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4447
dc.identifier.volume12en_US
dc.language.isoenen_US
dc.relation.ispartofSymmetry-Baselen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectChaosen_US
dc.subjectCoexisting Attractorsen_US
dc.subjectHidden Attractorsen_US
dc.titleBifurcations, Hidden Chaos and Control in Fractional Mapstr_TR
dc.titleBifurcations, Hidden Chaos and Control in Fractional Mapsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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