On Fractional-Order Symmetric Oscillator With Offset-Boosting Control
| dc.contributor.author | Xu, Changjin | |
| dc.contributor.author | Rahman, Mati Ur | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2025-11-06T17:21:18Z | |
| dc.date.available | 2025-11-06T17:21:18Z | |
| dc.date.issued | 2022 | |
| dc.description | Xu, Changjin/0000-0001-5844-2985 | en_US |
| dc.description.abstract | This article analyzes the dynamical evolution of a three-dimensional symmetric oscillator with a fractional Caputo operator. The dynamical properties of the considered model such as equilibria and its stability are also presented. The existence results and uniqueness of solutions for the suggested model are analyzed using the tools from fixed point theory. The symmetric oscillator is analyzed numerically and graphically with various fractional orders. It is observed that the fractional operator has a significant impact on the evolution of the oscillator dynamics showing that the system has a limit-cycle attractor. Offset-boosting control phenomena in the system are also studied with different orders and parameters. | en_US |
| dc.identifier.doi | 10.15388/name.2022.27.28279 | |
| dc.identifier.issn | 1392-5113 | |
| dc.identifier.issn | 2335-8963 | |
| dc.identifier.uri | https://doi.org/10.15388/name.2022.27.28279 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15698 | |
| dc.language.iso | en | en_US |
| dc.publisher | Vilnius Univ Press | en_US |
| dc.relation.ispartof | Nonlinear Analysis-Modelling and Control | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Symmetric Oscillator | en_US |
| dc.subject | Caputo Operator | en_US |
| dc.subject | Limit-Cycle Attractor | en_US |
| dc.subject | Offset Boosting | en_US |
| dc.title | On Fractional-Order Symmetric Oscillator With Offset-Boosting Control | |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Xu, Changjin/0000-0001-5844-2985 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.wosid | Xu, Changjin/Abc-4589-2021 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Rahman, Mati Ur/Aab-7278-2022 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550025, Peoples R China; [Xu, Changjin] Guizhou Key Lab Big Data Stat Anal, Guiyang 550025, Peoples R China; [Rahman, Mati Ur] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania | en_US |
| gdc.description.endpage | 1008 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 994 | en_US |
| gdc.description.volume | 27 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:001166682300010 | |
| gdc.opencitations.count | 0 | |
| gdc.wos.citedcount | 38 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| 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 |