Control and synchronization of the hyperchaotic attractor for a 5-D self-exciting homopolar disc dynamo
The control of the novel five-dimensional hidden attractors hyperchaotic system is investigated. We suggest an approach to change the model of its hyperchaotic behavior to an unpredictable trivial fixed point employing the stability principle. We are also researching the synchronization of the same...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-02-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016820305585 |
| _version_ | 1818740245572616192 |
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| author | Emad E. Mahmoud Kholod M. Abualnaja |
| author_facet | Emad E. Mahmoud Kholod M. Abualnaja |
| author_sort | Emad E. Mahmoud |
| collection | DOAJ |
| description | The control of the novel five-dimensional hidden attractors hyperchaotic system is investigated. We suggest an approach to change the model of its hyperchaotic behavior to an unpredictable trivial fixed point employing the stability principle. We are also researching the synchronization of the same system, focusing on the stability theory. Numerical simulations show that effective control and synchronization results are obtained with the control method. |
| first_indexed | 2024-12-18T01:37:40Z |
| format | Article |
| id | doaj.art-8471be1e6b4b404293d2b33d00b5d18b |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-18T01:37:40Z |
| publishDate | 2021-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-8471be1e6b4b404293d2b33d00b5d18b2022-12-21T21:25:24ZengElsevierAlexandria Engineering Journal1110-01682021-02-0160111731181Control and synchronization of the hyperchaotic attractor for a 5-D self-exciting homopolar disc dynamoEmad E. Mahmoud0Kholod M. Abualnaja1Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia; Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt; Corresponding author at: Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics, Faculty of Applied Science, Umm Al-Qura University, P.O. Box 14949, Makkah, Saudi ArabiaThe control of the novel five-dimensional hidden attractors hyperchaotic system is investigated. We suggest an approach to change the model of its hyperchaotic behavior to an unpredictable trivial fixed point employing the stability principle. We are also researching the synchronization of the same system, focusing on the stability theory. Numerical simulations show that effective control and synchronization results are obtained with the control method.http://www.sciencedirect.com/science/article/pii/S1110016820305585ControlSynchronizationHyperchaoticHidden attractorsStability theoryNumerical simulations |
| spellingShingle | Emad E. Mahmoud Kholod M. Abualnaja Control and synchronization of the hyperchaotic attractor for a 5-D self-exciting homopolar disc dynamo Alexandria Engineering Journal Control Synchronization Hyperchaotic Hidden attractors Stability theory Numerical simulations |
| title | Control and synchronization of the hyperchaotic attractor for a 5-D self-exciting homopolar disc dynamo |
| title_full | Control and synchronization of the hyperchaotic attractor for a 5-D self-exciting homopolar disc dynamo |
| title_fullStr | Control and synchronization of the hyperchaotic attractor for a 5-D self-exciting homopolar disc dynamo |
| title_full_unstemmed | Control and synchronization of the hyperchaotic attractor for a 5-D self-exciting homopolar disc dynamo |
| title_short | Control and synchronization of the hyperchaotic attractor for a 5-D self-exciting homopolar disc dynamo |
| title_sort | control and synchronization of the hyperchaotic attractor for a 5 d self exciting homopolar disc dynamo |
| topic | Control Synchronization Hyperchaotic Hidden attractors Stability theory Numerical simulations |
| url | http://www.sciencedirect.com/science/article/pii/S1110016820305585 |
| work_keys_str_mv | AT emademahmoud controlandsynchronizationofthehyperchaoticattractorfora5dselfexcitinghomopolardiscdynamo AT kholodmabualnaja controlandsynchronizationofthehyperchaoticattractorfora5dselfexcitinghomopolardiscdynamo |