Numerical solutions and synchronization of a variable-order fractional chaotic system
| dc.authorid | 0000-0001-7349-6922 | en_US |
| dc.authorid | 0000-0002-3966-6518 | en_US |
| dc.authorid | 0000-0002-6339-1868 | en_US |
| dc.contributor.author | Hammouch, Zakia | |
| dc.contributor.author | Yavuz, Mehmet | |
| dc.contributor.author | Özdemir, Necati | |
| dc.date.accessioned | 2023-06-16T07:17:24Z | |
| dc.date.available | 2023-06-16T07:17:24Z | |
| dc.date.issued | 2021 | en_US |
| dc.department | Fakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description | Özdemir, Necati (Balikesir Author) | en_US |
| dc.description.abstract | In the present paper, we implement a novel numerical method for solving differential equations with fractional variableorder in the Caputo sense to research the dynamics of a circulant Halvorsen system. Control laws are derived analytically to make synchronization of two identical commensurate Halvorsen systems with fractional variable-order time derivatives. The chaotic dynamics of the Halvorsen system with variable-order fractional derivatives are investigated and the identical synchronization between two systems is achieved. Moreover, graph simulations are provided to validate the theoretical analysis. | en_US |
| dc.identifier.doi | 10.53391/mmnsa.2021.01.002 | |
| dc.identifier.endpage | 23 | en_US |
| dc.identifier.issn | 2791-8564 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85116409947 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 11 | en_US |
| dc.identifier.trdizinid | 1108086 | |
| dc.identifier.uri | https://doi.org/10.53391/mmnsa.2021.01.002 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12462/13137 | |
| dc.identifier.volume | 1 | en_US |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | en_US |
| dc.publisher | Mehmet Yavuz | en_US |
| dc.relation.ispartof | Mathematical Modelling and Numerical Simulation with Applications | en_US |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Variable-Order Fractional Derivative | en_US |
| dc.subject | Chaotic System | en_US |
| dc.subject | Lyapunov Exponent | en_US |
| dc.subject | Synchronization | en_US |
| dc.title | Numerical solutions and synchronization of a variable-order fractional chaotic system | en_US |
| dc.type | Article | en_US |
