On a Nonlinear Dynamical System With Both Chaotic and Nonchaotic Behaviors: a New Fractional Analysis and Control
| dc.contributor.author | Jajarmi, Amin | |
| dc.contributor.author | Defterli, Ozlem | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Sajjadi, Samaneh Sadat | |
| dc.date.accessioned | 2022-10-06T12:09:33Z | |
| dc.date.accessioned | 2025-09-18T12:08:27Z | |
| dc.date.available | 2022-10-06T12:09:33Z | |
| dc.date.available | 2025-09-18T12:08:27Z | |
| dc.date.issued | 2021 | |
| dc.description | Jajarmi, Amin/0000-0003-2768-840X | en_US |
| dc.description.abstract | In this paper, we aim to analyze the complicated dynamical motion of a quarter-car suspension system with a sinusoidal road excitation force. First, we consider a new mathematical model in the form of fractional-order differential equations. In the proposed model, we apply the Caputo-Fabrizio fractional operator with exponential kernel. Then to solve the related equations, we suggest a quadratic numerical method and prove its stability and convergence. A deep investigation in the framework of time-domain response and phase-portrait shows that both the chaotic and nonchaotic behaviors of the considered system can be identified by the fractional-order mathematical model. Finally, we present a state-feedback controller and a chaos optimal control to overcome the system chaotic oscillations. Simulation results demonstrate the effectiveness of the proposed modeling and control strategies. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK) [TBAG-117F473] | en_US |
| dc.description.sponsorship | The first author (DB) and the fourth author (OD) are supported by the Scientific and Technological Research Council of Turkey (TUB. ITAK) under the Grant No. TBAG-117F473. | en_US |
| dc.identifier.citation | Baleanu, Dumitru...et al. (2021). "On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control", Advances in Difference Equations, Vol. 2021, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-021-03393-x | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85104972788 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-021-03393-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11136 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Exponential Kernel | en_US |
| dc.subject | Quarter-Car Suspension System | en_US |
| dc.subject | Chaotic Oscillation | en_US |
| dc.subject | State-Feedback Control | en_US |
| dc.subject | Optimal Control | en_US |
| dc.title | On a Nonlinear Dynamical System With Both Chaotic and Nonchaotic Behaviors: a New Fractional Analysis and Control | en_US |
| dc.title | On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Jajarmi, Amin/0000-0003-2768-840X | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 56306064100 | |
| gdc.author.scopusid | 34880044900 | |
| gdc.author.scopusid | 8546136600 | |
| gdc.author.wosid | Jajarmi, Amin/O-7701-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Sajjadi, Samaneh/Aad-3326-2020 | |
| gdc.author.wosid | Defterli, Ozlem/Aah-2521-2020 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C3 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C3 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru; Defterli, Ozlem] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB MG 23, Magurele 76900, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Sajjadi, Samaneh Sadat] Hakim Sabzevari Univ, Dept Elect & Comp Engn, Sabzevar, Iran; [Jajarmi, Amin] Univ Bojnord, Dept Elect Engn, POB 94531-1339, Bojnord, Iran; [Jajarmi, Amin] Near East Univ TRNC, Dept Math, Mersin 10, Nicosia, Turkey | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2021 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3165135418 | |
| gdc.identifier.wos | WOS:000655021200003 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 93.0 | |
| gdc.oaire.influence | 8.311542E-9 | |
| gdc.oaire.isgreen | true | |
| gdc.oaire.keywords | Artificial intelligence | |
| gdc.oaire.keywords | Chaotic | |
| gdc.oaire.keywords | Geometry | |
| gdc.oaire.keywords | Control (management) | |
| gdc.oaire.keywords | Fractional Order Systems | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Quantum mechanics | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Chaotic oscillation | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Control theory (sociology) | |
| gdc.oaire.keywords | Biology | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Exponential kernel | |
| gdc.oaire.keywords | Physics | |
| gdc.oaire.keywords | Controller (irrigation) | |
| gdc.oaire.keywords | Chaos Synchronization and Control in Complex Systems | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Quadratic equation | |
| gdc.oaire.keywords | Statistical and Nonlinear Physics | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Dynamical system (definition) | |
| gdc.oaire.keywords | Computer science | |
| gdc.oaire.keywords | Agronomy | |
| gdc.oaire.keywords | Optimal control | |
| gdc.oaire.keywords | Phase portrait | |
| gdc.oaire.keywords | State-feedback control | |
| gdc.oaire.keywords | Fractional Derivatives | |
| gdc.oaire.keywords | Physics and Astronomy | |
| gdc.oaire.keywords | Nonlinear Dynamics | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Nonlinear system | |
| gdc.oaire.keywords | Dynamical systems theory | |
| gdc.oaire.keywords | Quarter-car suspension system | |
| gdc.oaire.keywords | Fractional Calculus | |
| gdc.oaire.keywords | Bifurcation | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | Rogue Waves in Nonlinear Systems | |
| gdc.oaire.keywords | exponential kernel | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | optimal control | |
| gdc.oaire.keywords | Complex behavior and chaotic systems of ordinary differential equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | state-feedback control | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | quarter-car suspension system | |
| gdc.oaire.keywords | chaotic oscillation | |
| gdc.oaire.keywords | Chaos control for problems involving ordinary differential equations | |
| gdc.oaire.popularity | 8.634421E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 9.046 | |
| gdc.openalex.normalizedpercentile | 0.99 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 92 | |
| gdc.plumx.crossrefcites | 2 | |
| gdc.plumx.mendeley | 9 | |
| gdc.plumx.scopuscites | 111 | |
| gdc.publishedmonth | 12 | |
| gdc.scopus.citedcount | 115 | |
| gdc.virtual.author | Defterli, Özlem | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 101 | |
| relation.isAuthorOfPublication | 9f00fb1b-e8e0-4303-9d32-1ac0230e2616 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | 9f00fb1b-e8e0-4303-9d32-1ac0230e2616 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |