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A novel fractional piecewise linear map: regular and chaotic dynamics

dc.contributor.authorBououden, R.
dc.contributor.authorAbdelouahab, M. S.
dc.contributor.authorJarad, Fahd
dc.contributor.authorHammouch, Z.
dc.contributor.authorID234808tr_TR
dc.date.accessioned2022-03-02T07:08:16Z
dc.date.available2022-03-02T07:08:16Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, a new piecewise linear map of the plan and its fractional version deduced from the Lozi map is introduced and analysed. The main attention is paid to the study of fixed points and their stability, cycles of period two and their stability regions and the type of bifurcation that occur in the dynamical behaviours of this map. The routes to chaos and some chaotic attractors that exist in the behaviour of the integer map are discussed. Finally, the chaotic behaviour of the associated proposed fractional map is analysed by means of bifurcations diagrams.en_US
dc.description.publishedMonth7
dc.identifier.citationBououden, R...at all (2021). "A novel fractional piecewise linear map: regular and chaotic dynamics", International Journal of General Systems, Vol. 50, No. 5, pp. 501-526.en_US
dc.identifier.doi10.1080/03081079.2021.1919102
dc.identifier.endpage526en_US
dc.identifier.issn0308-1079
dc.identifier.issue5en_US
dc.identifier.startpage501en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5067
dc.identifier.volume50en_US
dc.language.isoenen_US
dc.relation.ispartofInternational Journal of General Systemsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPiecewise Linear Mapen_US
dc.subjectFractional-Order Mapen_US
dc.subjectLyapunov Exponenten_US
dc.subjectChaotic Attractoren_US
dc.titleA novel fractional piecewise linear map: regular and chaotic dynamicstr_TR
dc.titleA Novel Fractional Piecewise Linear Map: Regular and Chaotic Dynamicsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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