Hyperchaotic Dynamics of a New Fractional Discrete-Time System
| 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.author | Khennaoui, Amina-Aicha | |
| dc.date.accessioned | 2022-05-23T11:28:39Z | |
| dc.date.accessioned | 2025-09-18T12:09:13Z | |
| dc.date.available | 2022-05-23T11:28:39Z | |
| dc.date.available | 2025-09-18T12:09:13Z | |
| dc.date.issued | 2021 | |
| 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.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.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.scopus | 2-s2.0-85110173112 | |
| dc.identifier.uri | https://doi.org/10.1142/S0218348X2140034X | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11351 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | Fractals | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| 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 | en_US |
| dc.title | HYPERCHAOTIC DYNAMICS of A NEW FRACTIONAL DISCRETE-TIME SYSTEM | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Momani, Shaher/P-7973-2014 | |
| gdc.author.wosid | Pham, Viet/F-3715-2019 | |
| gdc.author.wosid | Dibi, Zohir/Hja-0761-2022 | |
| gdc.author.wosid | Ouannas, Adel/Aae-2213-2022 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [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 |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 29 | en_US |
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| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | chaos | |
| gdc.oaire.keywords | Difference equations, scaling (\(q\)-differences) | |
| gdc.oaire.keywords | Chaotic behavior of solutions of difference equations | |
| gdc.oaire.keywords | hyperchaotic map | |
| gdc.oaire.keywords | discrete fractional calculus | |
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