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.date.accessioned | 2024-04-29T12:22:38Z | |
| dc.date.accessioned | 2025-09-18T12:09:06Z | |
| dc.date.available | 2024-04-29T12:22:38Z | |
| dc.date.available | 2025-09-18T12:09:06Z | |
| 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.description.sponsorship | Guizhou Key Laboratory of Big Data Statistical Analysis [[2019] 5103] | en_US |
| dc.description.sponsorship | This research was supported by Guizhou Key Laboratory of Big Data Statistical Analysis grant No. [2019] 5103.Acknowledgment. We would like to thank to the referee for his/her valuable comments and suggestions. | en_US |
| dc.identifier.citation | Xu, Changjin; Rahman, Mati Ur; Baleanu, Dumitru. (2022). "On fractional-order symmetric oscillator with offset-boosting control", Nonlinear Analysis: Modelling and Control, Vol.27, No.5, pp.994-1008. | en_US |
| dc.identifier.doi | 10.15388/namc.2022.27.28279 | |
| dc.identifier.issn | 1392-5113 | |
| dc.identifier.issn | 2335-8963 | |
| dc.identifier.scopus | 2-s2.0-85137342884 | |
| dc.identifier.uri | https://doi.org/10.15388/namc.2022.27.28279 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11312 | |
| dc.language.iso | en | en_US |
| dc.publisher | Vilnius Univ, inst Mathematics & informatics | en_US |
| dc.relation.ispartof | Nonlinear Analysis: Modelling and Control | |
| dc.rights | info:eu-repo/semantics/openAccess | 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 | en_US |
| dc.title | On fractional-order symmetric oscillator with offset-boosting control | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Xu, Changjin/0000-0001-5844-2985 | |
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| gdc.author.wosid | Xu, Cj/Hjz-3488-2023 | |
| gdc.author.wosid | Xu, Changjin/Abc-4589-2021 | |
| gdc.author.wosid | Rahman, Mati Ur/Aab-7278-2022 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| 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 | 15 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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