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HYPERCHAOTIC DYNAMICS of A NEW FRACTIONAL DISCRETE-TIME SYSTEM

dc.contributor.authorKhennaoui, Amina-Aicha
dc.contributor.authorOuannas, Adel
dc.contributor.authorMomani, Shaher
dc.contributor.authorDibi, Zohir
dc.contributor.authorGrassi, Giuseppe
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorPham, Viet-Thanh
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-05-23T11:28:39Z
dc.date.available2022-05-23T11:28:39Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn recent years, some efforts have been devoted to nonlinear dynamics of fractional discrete-Time systems. A number of papers have so far discussed results related to the presence of chaos in fractional maps. However, less results have been published to date regarding the presence of hyperchaos in fractional discrete-Time systems. This paper aims to bridge the gap by introducing a new three-dimensional fractional map that shows, for the first time, complex hyperchaotic behaviors. A detailed analysis of the map dynamics is conducted via computation of Lyapunov exponents, bifurcation diagrams, phase portraits, approximated entropy and C0 complexity. Simulation results confirm the effectiveness of the approach illustrated herein. © 2021 The Author(s).en_US
dc.description.publishedMonth12
dc.identifier.citationKhennaoui, Amina-Aicha...et al. (2021). "HYPERCHAOTIC DYNAMICS of A NEW FRACTIONAL DISCRETE-TIME SYSTEM", Fractals, Vol. 29, No. 8.en_US
dc.identifier.doi10.1142/S0218348X2140034X
dc.identifier.issn0218-348X
dc.identifier.issue8en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5534
dc.identifier.volume29en_US
dc.language.isoenen_US
dc.relation.ispartofFractalsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectChaosen_US
dc.subjectDiscrete Fractional Calculusen_US
dc.subjectHyperchaotic Mapen_US
dc.titleHYPERCHAOTIC DYNAMICS of A NEW FRACTIONAL DISCRETE-TIME SYSTEMtr_TR
dc.titleHyperchaotic Dynamics of a New Fractional Discrete-Time Systemen_US
dc.typeArticleen_US
dspace.entity.typePublication

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