Bifurcations, Hidden Chaos and Control in Fractional Maps
| dc.authorid | Huynh, Van Van/0000-0002-9766-9004 | |
| dc.authorid | Ouannas, Adel/0000-0001-9611-2047 | |
| dc.authorscopusid | 56135753700 | |
| dc.authorscopusid | 57214998359 | |
| dc.authorscopusid | 57203024774 | |
| dc.authorscopusid | 55664495900 | |
| dc.authorscopusid | 7005872966 | |
| dc.authorscopusid | 56039903500 | |
| dc.authorscopusid | 56039903500 | |
| dc.authorwosid | Ouannas, Adel/Aae-2213-2022 | |
| dc.authorwosid | Alsawalha, Mohammad/Aap-7590-2021 | |
| dc.authorwosid | Pham, Viet/F-3715-2019 | |
| dc.authorwosid | Baleanu, Dumitru/B-9936-2012 | |
| dc.authorwosid | Almatroud, Othman/Aap-8141-2021 | |
| dc.authorwosid | Huynh, Van/G-2137-2019 | |
| dc.contributor.author | Ouannas, Adel | |
| dc.contributor.author | Almatroud, Othman Abdullah | |
| dc.contributor.author | Khennaoui, Amina Aicha | |
| dc.contributor.author | Alsawalha, Mohammad Mossa | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Van Van Huynh | |
| dc.contributor.author | Viet-Thanh Pham | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2021-01-07T11:41:54Z | |
| dc.date.available | 2021-01-07T11:41:54Z | |
| dc.date.issued | 2020 | |
| dc.department | Çankaya University | en_US |
| dc.department-temp | [Ouannas, Adel] Univ Larbi Tebessi, Lab Math Informat & Syst LAMIS, Tebessa 12002, Algeria; [Almatroud, Othman Abdullah; Alsawalha, Mohammad Mossa] Univ Hail, Fac Sci, Math Dept, Hail 81451, Saudi Arabia; [Khennaoui, Amina Aicha] Univ Larbi Ben Mhidi, Lab Dynam Syst & Control, Oum El Bouaghi 04000, Algeria; [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; [Van Van Huynh] Ton Duc Thang Univ, Fac Elect & Elect Engn, Modeling Evolutionary Algorithms Simulat & Artifi, Ho Chi Minh City 758307, Vietnam; [Viet-Thanh Pham] Ton Duc Thang Univ, Fac Elect & Elect Engn, Nonlinear Syst & Applicat, Ho Chi Minh City 758307, Vietnam | en_US |
| dc.description | Huynh, Van Van/0000-0002-9766-9004; Ouannas, Adel/0000-0001-9611-2047 | en_US |
| dc.description.abstract | Recently, hidden attractors with stable equilibria have received considerable attention in chaos theory and nonlinear dynamical systems. Based on discrete fractional calculus, this paper proposes a simple two-dimensional and three-dimensional fractional maps. Both fractional maps are chaotic and have a unique equilibrium point. Results show that the dynamics of the proposed fractional maps are sensitive to both initial conditions and fractional order. There are coexisting attractors which have been displayed in terms of bifurcation diagrams, phase portraits and a 0-1 test. Furthermore, control schemes are introduced to stabilize the chaotic trajectories of the two novel systems. | en_US |
| dc.description.publishedMonth | 6 | |
| dc.description.sponsorship | University of Ha’il, (RG-191307) | en_US |
| dc.description.sponsorship | Scientific Research Deanship at University of Ha'il, Saudi Arabia [RG-191307]; Directorate General for Scientific Research and Technological Development of Algeria | en_US |
| dc.description.sponsorship | This work has been supported by Scientific Research Deanship at University of Ha'il, Saudi Arabia, though Project Number RG-191307. The author Adel Ouannas was supported by the Directorate General for Scientific Research and Technological Development of Algeria. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.citation | Ouannas, Adel...et al. (2020). "Bifurcations, Hidden Chaos and Control in Fractional Maps", Symmetry-Basel, Vol. 12, No. 6. | en_US |
| dc.identifier.doi | 10.3390/sym12060879 | |
| dc.identifier.issn | 2073-8994 | |
| dc.identifier.issn | 2073-8994 | |
| dc.identifier.issue | 6 | en_US |
| dc.identifier.scopus | 2-s2.0-85086702461 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.3390/sym12060879 | |
| dc.identifier.volume | 12 | en_US |
| dc.identifier.wos | WOS:000550784100001 | |
| dc.identifier.wosquality | Q2 | |
| dc.institutionauthor | Baleanu, Dumitru | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Symmetry | 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 | 11 | |
| dc.subject | Chaos | en_US |
| dc.subject | Coexisting Attractors | en_US |
| dc.subject | Hidden Attractors | en_US |
| dc.title | Bifurcations, Hidden Chaos and Control in Fractional Maps | tr_TR |
| dc.title | Bifurcations, Hidden Chaos and Control in Fractional Maps | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 5 | |
| dspace.entity.type | Publication | |
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