A Novel Fractional Piecewise Linear Map: Regular and Chaotic Dynamics
| dc.contributor.author | Abdelouahab, M. S. | |
| dc.contributor.author | Jarad, F. | |
| dc.contributor.author | Hammouch, Z. | |
| dc.contributor.author | Bououden, R. | |
| dc.contributor.authorID | 234808 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2022-03-02T07:08:16Z | |
| dc.date.accessioned | 2025-09-18T13:26:57Z | |
| dc.date.available | 2022-03-02T07:08:16Z | |
| dc.date.available | 2025-09-18T13:26:57Z | |
| dc.date.issued | 2021 | |
| dc.description | Hammouch, Zakia/0000-0001-7349-6922; Abdelouahab, Mohammed Salah/0000-0002-9235-8362 | en_US |
| dc.description.abstract | In 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.publishedMonth | 7 | |
| dc.identifier.citation | Bououden, 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.doi | 10.1080/03081079.2021.1919102 | |
| dc.identifier.issn | 0308-1079 | |
| dc.identifier.issn | 1563-5104 | |
| dc.identifier.scopus | 2-s2.0-85106335785 | |
| dc.identifier.uri | https://doi.org/10.1080/03081079.2021.1919102 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/12761 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Piecewise Linear Map | en_US |
| dc.subject | Fractional-Order Map | en_US |
| dc.subject | Lyapunov Exponent | en_US |
| dc.subject | Chaotic Attractor | en_US |
| dc.title | A Novel Fractional Piecewise Linear Map: Regular and Chaotic Dynamics | en_US |
| dc.title | A novel fractional piecewise linear map: regular and chaotic dynamics | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Hammouch, Zakia/0000-0001-7349-6922 | |
| gdc.author.id | Abdelouahab, Mohammed Salah/0000-0002-9235-8362 | |
| gdc.author.institutional | Jarad, Fahd | |
| gdc.author.scopusid | 57200414810 | |
| gdc.author.scopusid | 6504783746 | |
| gdc.author.scopusid | 15622742900 | |
| gdc.author.scopusid | 12768922000 | |
| gdc.author.wosid | Hammouch, Zakia/D-3532-2011 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Abdelouahab, Mohammed Salah/A-2393-2019 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Bououden, R.; Abdelouahab, M. S.] Abdelhafid Boussouf Univ Ctr, Lab Math & Their Interact, Mila, Algeria; [Jarad, F.] Cankaya Univ, Dept Math, Ankara, Turkey; [Hammouch, Z.] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam; [Hammouch, Z.] China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Hammouch, Z.] Moulay Ismail Univ Meknes, Ecole Normale Super, Dept Sci, Meknes, Morocco | en_US |
| gdc.description.endpage | 526 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 501 | en_US |
| gdc.description.volume | 50 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W3161892795 | |
| gdc.identifier.wos | WOS:000648788200001 | |
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| gdc.openalex.toppercent | TOP 10% | |
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| gdc.plumx.scopuscites | 9 | |
| gdc.scopus.citedcount | 9 | |
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