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HYPERCHAOTIC DYNAMICS of A NEW FRACTIONAL DISCRETE-TIME SYSTEM

dc.authorid Ouannas, Adel/0000-0001-9611-2047
dc.authorscopusid 57203024774
dc.authorscopusid 56135753700
dc.authorscopusid 8842321100
dc.authorscopusid 18433500800
dc.authorscopusid 7201815219
dc.authorscopusid 7005872966
dc.authorscopusid 7005872966
dc.authorwosid Momani, Shaher/P-7973-2014
dc.authorwosid Pham, Viet/F-3715-2019
dc.authorwosid Dibi, Zohir/Hja-0761-2022
dc.authorwosid Ouannas, Adel/Aae-2213-2022
dc.authorwosid Baleanu, Dumitru/B-9936-2012
dc.contributor.author Khennaoui, Amina-Aicha
dc.contributor.author Ouannas, Adel
dc.contributor.author Momani, Shaher
dc.contributor.author Dibi, Zohir
dc.contributor.author Grassi, Giuseppe
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Viet-Thanh Pham
dc.contributor.authorID 56389 tr_TR
dc.contributor.other Matematik
dc.date.accessioned 2022-05-23T11:28:39Z
dc.date.available 2022-05-23T11:28:39Z
dc.date.issued 2021
dc.department Çankaya University en_US
dc.department-temp [Khennaoui, Amina-Aicha] Univ Larbi Ben Mhidi, Lab Dynam Syst & Control, Oum El Bouaghi, Algeria; [Ouannas, Adel] Univ Larbi Ben Mhidi, Dept Math & Comp Sci, Oum El Bouaghi, Algeria; [Ouannas, Adel; Momani, Shaher] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates; [Momani, Shaher] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan; [Dibi, Zohir] Univ Larbi Ben Mhidi, Oum El Bouaghi, Algeria; [Grassi, Giuseppe] Univ Salento, Dipartimento Ingn Innovaz, I-73100 Lecce, Italy; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Magurele 76900, Romania; [Viet-Thanh Pham] Ton Duc Thang Univ, Fac Elect & Elect Engn, Nonlinear Syst & Applicat, Ho Chi Minh City, Vietnam en_US
dc.description Ouannas, Adel/0000-0001-9611-2047 en_US
dc.description.abstract In 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 C-0 complexity. Simulation results confirm the effectiveness of the approach illustrated herein. en_US
dc.description.publishedMonth 12
dc.description.sponsorship Directorate General for Scientific Research and Technological Development in Algeria; Ajman University in UAE en_US
dc.description.sponsorship The author Adel Ouannas thanks the Directorate General for Scientific Research and Technological Development in Algeria who supported the research to be at hand. The author Shaher Momani was supported by Ajman University in UAE. All authors contributed equally to this paper. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.citation Khennaoui, Amina-Aicha...et al. (2021). "HYPERCHAOTIC DYNAMICS of A NEW FRACTIONAL DISCRETE-TIME SYSTEM", Fractals, Vol. 29, No. 8. en_US
dc.identifier.doi 10.1142/S0218348X2140034X
dc.identifier.issn 0218-348X
dc.identifier.issn 1793-6543
dc.identifier.issue 8 en_US
dc.identifier.scopus 2-s2.0-85110173112
dc.identifier.scopusquality Q1
dc.identifier.uri https://doi.org/10.1142/S0218348X2140034X
dc.identifier.volume 29 en_US
dc.identifier.wos WOS:000755102900036
dc.identifier.wosquality N/A
dc.institutionauthor Baleanu, Dumitru
dc.language.iso en en_US
dc.publisher World Scientific Publ Co Pte Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 4
dc.subject Chaos en_US
dc.subject Discrete Fractional Calculus en_US
dc.subject Hyperchaotic Map en_US
dc.title HYPERCHAOTIC DYNAMICS of A NEW FRACTIONAL DISCRETE-TIME SYSTEM tr_TR
dc.title Hyperchaotic Dynamics of a New Fractional Discrete-Time System en_US
dc.type Article en_US
dc.wos.citedbyCount 3
dspace.entity.type Publication
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relation.isOrgUnitOfPublication.latestForDiscovery 26a93bcf-09b3-4631-937a-fe838199f6a5

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