The new fractional discrete neural network model under electromagnetic radiation: Chaos, control and synchronization
This paper describes a new four-dimensional fractional discrete neural network with electromagnetic radiation model. In addition, the non-linear dynamics of the suggested model are examined, within the framework of commensurate, incommensurate and variable orders, through different numerical techniq...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-08-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823004866 |
| _version_ | 1797741020808478720 |
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| author | Ahmed Salem Heilat Rabia Chaimaà Karoun Abdallah Al-Husban Abderrahmane Abbes Mohammed Al Horani Giuseppe Grassi Adel Ouannas |
| author_facet | Ahmed Salem Heilat Rabia Chaimaà Karoun Abdallah Al-Husban Abderrahmane Abbes Mohammed Al Horani Giuseppe Grassi Adel Ouannas |
| author_sort | Ahmed Salem Heilat |
| collection | DOAJ |
| description | This paper describes a new four-dimensional fractional discrete neural network with electromagnetic radiation model. In addition, the non-linear dynamics of the suggested model are examined, within the framework of commensurate, incommensurate and variable orders, through different numerical techniques such as Lyapunov exponent, phase portraits, bifurcation diagrams, and the 0–1 test method. The results imply that The behaviours of the proposed fractional discrete neural network model have rich and complex dynamical properties that are influenced by the variation of the system parameters, the commensurate order, the incommensurate order and the variable order. Moreover, the approximate entropy test and Co algorithm are carried out to measure complexity and validate the presence of chaos. Finally, nonlinear controllers are illustrated to stabilize and synchronize the proposed model. |
| first_indexed | 2024-03-12T14:20:51Z |
| format | Article |
| id | doaj.art-d8947c997816458ebc4a9ce79ad32501 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-12T14:20:51Z |
| publishDate | 2023-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-d8947c997816458ebc4a9ce79ad325012023-08-19T04:31:39ZengElsevierAlexandria Engineering Journal1110-01682023-08-0176391409The new fractional discrete neural network model under electromagnetic radiation: Chaos, control and synchronizationAhmed Salem Heilat0Rabia Chaimaà Karoun1Abdallah Al-Husban2Abderrahmane Abbes3Mohammed Al Horani4Giuseppe Grassi5Adel Ouannas6Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, JordanDepartment of Mathematics, The University of Jordan, Amman 11942, JordanDepartment of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600, Irbid, JordanLaboratory of Mathematics, Dynamics and Modelization, Badji Mokhtar-Annaba University, Annaba 23000, Algeria; Corresponding author.Department of Mathematics, The University of Jordan, Amman 11942, JordanDipartimento Ingegneria Innovazione, Universita del Salento, Lecce 73100, ItalyDepartment of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi 04000, AlgeriaThis paper describes a new four-dimensional fractional discrete neural network with electromagnetic radiation model. In addition, the non-linear dynamics of the suggested model are examined, within the framework of commensurate, incommensurate and variable orders, through different numerical techniques such as Lyapunov exponent, phase portraits, bifurcation diagrams, and the 0–1 test method. The results imply that The behaviours of the proposed fractional discrete neural network model have rich and complex dynamical properties that are influenced by the variation of the system parameters, the commensurate order, the incommensurate order and the variable order. Moreover, the approximate entropy test and Co algorithm are carried out to measure complexity and validate the presence of chaos. Finally, nonlinear controllers are illustrated to stabilize and synchronize the proposed model.http://www.sciencedirect.com/science/article/pii/S1110016823004866Fractional discrete neural network modelIncommensurate orderVariable orderChaotic dynamicsControlSynchronization |
| spellingShingle | Ahmed Salem Heilat Rabia Chaimaà Karoun Abdallah Al-Husban Abderrahmane Abbes Mohammed Al Horani Giuseppe Grassi Adel Ouannas The new fractional discrete neural network model under electromagnetic radiation: Chaos, control and synchronization Alexandria Engineering Journal Fractional discrete neural network model Incommensurate order Variable order Chaotic dynamics Control Synchronization |
| title | The new fractional discrete neural network model under electromagnetic radiation: Chaos, control and synchronization |
| title_full | The new fractional discrete neural network model under electromagnetic radiation: Chaos, control and synchronization |
| title_fullStr | The new fractional discrete neural network model under electromagnetic radiation: Chaos, control and synchronization |
| title_full_unstemmed | The new fractional discrete neural network model under electromagnetic radiation: Chaos, control and synchronization |
| title_short | The new fractional discrete neural network model under electromagnetic radiation: Chaos, control and synchronization |
| title_sort | new fractional discrete neural network model under electromagnetic radiation chaos control and synchronization |
| topic | Fractional discrete neural network model Incommensurate order Variable order Chaotic dynamics Control Synchronization |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823004866 |
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