A New Approach on the Modelling, Chaos Control and Synchronization of a Fractional Biological Oscillator
| dc.contributor.author | Ullah, Malik Zaka | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Alshomrani, Ali Saleh | |
| dc.date.accessioned | 2022-02-23T08:27:36Z | |
| dc.date.accessioned | 2025-09-18T14:09:50Z | |
| dc.date.available | 2022-02-23T08:27:36Z | |
| dc.date.available | 2025-09-18T14:09:50Z | |
| dc.date.issued | 2021 | |
| dc.description | Ullah, Malik Zaka/0000-0003-2944-0352 | en_US |
| dc.description.abstract | This research aims to discuss and control the chaotic behaviour of an autonomous fractional biological oscillator. Indeed, the concept of fractional calculus is used to include memory in the modelling formulation. In addition, we take into account a new auxiliary parameter in order to keep away from dimensional mismatching. Further, we explore the chaotic attractors of the considered model through its corresponding phase-portraits. Additionally, the stability and equilibrium point of the system are studied and investigated. Next, we design a feedback control scheme for the purpose of chaos control and stabilization. Afterwards, we introduce an efficient active control method to achieve synchronization between two chaotic fractional biological oscillators. The efficiency of the proposed stabilizing and synchronizing controllers is verified via theoretical analysis as well as simulations and numerical experiments. | en_US |
| dc.description.sponsorship | research and development office (RDO) at the ministry of Education, Kingdom of Saudi Arabia [HIQI-16-2019] | en_US |
| dc.description.sponsorship | This project was funded by the research and development office (RDO) at the ministry of Education, Kingdom of Saudi Arabia. Grant no. (HIQI-16-2019). The authors also, acknowledge with thanks research and development office (RDO-KAU) at King Abdulaziz University for technical support. | en_US |
| dc.identifier.citation | Alshomrani, Ali Saleh; Ullah, Malik Zaka; Baleanu, Dumitru (2021). "A new approach on the modelling, chaos control and synchronization of a fractional biological oscillator", Advances in Difference Equations, Vol. 2021, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-021-03224-z | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85099851094 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-021-03224-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13502 | |
| 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 Model | en_US |
| dc.subject | Biological System | en_US |
| dc.subject | Chaotic Attractors | en_US |
| dc.subject | Chaos Control | en_US |
| dc.subject | Synchronization | en_US |
| dc.title | A New Approach on the Modelling, Chaos Control and Synchronization of a Fractional Biological Oscillator | en_US |
| dc.title | A new approach on the modelling, chaos control and synchronization of a fractional biological oscillator | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Ullah, Malik Zaka/0000-0003-2944-0352 | |
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| gdc.author.wosid | Alshomrani, Ali/Q-4236-2017 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Ullah, Malik Zaka/H-2068-2013 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Alshomrani, Ali Saleh; Ullah, Malik Zaka] King Abdulaziz Univ, Fac Sci, Dept Math, Math Modelling & Appl Computat Res Grp MMAC, Jeddah 21589, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, MG-23, R-76900 Magurele, Romania | 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 |
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| gdc.oaire.keywords | Chaotic attractors | |
| gdc.oaire.keywords | Biological system | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Chaos control | |
| gdc.oaire.keywords | Synchronization | |
| gdc.oaire.keywords | Fractional model | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Nonlinear oscillations and coupled oscillators for ordinary differential equations | |
| gdc.oaire.keywords | Synchronization of solutions to ordinary differential equations | |
| gdc.oaire.keywords | biological system | |
| gdc.oaire.keywords | fractional model | |
| gdc.oaire.keywords | chaotic attractors | |
| gdc.oaire.keywords | Chaos control for problems involving ordinary differential equations | |
| gdc.oaire.keywords | chaos control | |
| gdc.oaire.keywords | synchronization | |
| gdc.oaire.keywords | General biology and biomathematics | |
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