Hybrid Function Projective Synchronization of Hyperchaotic Financial Systems via Adaptive Control
In this manuscript, we establish hybrid function projective synchronization of a new hyperchaotic system using an adaptive control technique with unknown system parameters. In order to prevent either from deriving from participants in the single hyperchaotic financial system, identical master and sl...
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| Format: | Article |
| Language: | English |
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Akif AKGUL
2024-11-01
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| Series: | Chaos Theory and Applications |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/4225142 |
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| _version_ | 1832590415159623680 |
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| author | Vikash . Ayub Khan Khursheed Alam |
| author_facet | Vikash . Ayub Khan Khursheed Alam |
| author_sort | Vikash . |
| collection | DOAJ |
| description | In this manuscript, we establish hybrid function projective synchronization of a new hyperchaotic system using an adaptive control technique with unknown system parameters. In order to prevent either from deriving from participants in the single hyperchaotic financial system, identical master and slave systems are chosen. We design an adaptive controller to achieve global chaos synchronization between these master and slave systems. The synchronization results are based on adaptive control theory and Lyapunov stability theory. Additionally, we outline the basic dynamic characteristics of both hyperchaotic financial systems. Numerical simulations performed in Matlab validate our results excellently. |
| format | Article |
| id | doaj-art-aba005f216f740a88b480da29a0be594 |
| institution | Kabale University |
| issn | 2687-4539 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Akif AKGUL |
| record_format | Article |
| series | Chaos Theory and Applications |
| spelling | doaj-art-aba005f216f740a88b480da29a0be5942025-01-23T18:18:48ZengAkif AKGULChaos Theory and Applications2687-45392024-11-016425726310.51537/chaos.15525111971Hybrid Function Projective Synchronization of Hyperchaotic Financial Systems via Adaptive ControlVikash .0https://orcid.org/0009-0007-7139-9732Ayub Khan1https://orcid.org/0009-0009-5317-6855Khursheed Alam2https://orcid.org/0000-0003-4168-3736Sharda UniversityJamia Millia IslamiaSHARDA UNIVERSITYIn this manuscript, we establish hybrid function projective synchronization of a new hyperchaotic system using an adaptive control technique with unknown system parameters. In order to prevent either from deriving from participants in the single hyperchaotic financial system, identical master and slave systems are chosen. We design an adaptive controller to achieve global chaos synchronization between these master and slave systems. The synchronization results are based on adaptive control theory and Lyapunov stability theory. Additionally, we outline the basic dynamic characteristics of both hyperchaotic financial systems. Numerical simulations performed in Matlab validate our results excellently.https://dergipark.org.tr/en/download/article-file/4225142fundamental dynamicalpropertiesadaptive controlsynchronizationchaotic systemslyapunov stabilitytheory |
| spellingShingle | Vikash . Ayub Khan Khursheed Alam Hybrid Function Projective Synchronization of Hyperchaotic Financial Systems via Adaptive Control Chaos Theory and Applications fundamental dynamicalproperties adaptive control synchronization chaotic systems lyapunov stabilitytheory |
| title | Hybrid Function Projective Synchronization of Hyperchaotic Financial Systems via Adaptive Control |
| title_full | Hybrid Function Projective Synchronization of Hyperchaotic Financial Systems via Adaptive Control |
| title_fullStr | Hybrid Function Projective Synchronization of Hyperchaotic Financial Systems via Adaptive Control |
| title_full_unstemmed | Hybrid Function Projective Synchronization of Hyperchaotic Financial Systems via Adaptive Control |
| title_short | Hybrid Function Projective Synchronization of Hyperchaotic Financial Systems via Adaptive Control |
| title_sort | hybrid function projective synchronization of hyperchaotic financial systems via adaptive control |
| topic | fundamental dynamicalproperties adaptive control synchronization chaotic systems lyapunov stabilitytheory |
| url | https://dergipark.org.tr/en/download/article-file/4225142 |
| work_keys_str_mv | AT vikash hybridfunctionprojectivesynchronizationofhyperchaoticfinancialsystemsviaadaptivecontrol AT ayubkhan hybridfunctionprojectivesynchronizationofhyperchaoticfinancialsystemsviaadaptivecontrol AT khursheedalam hybridfunctionprojectivesynchronizationofhyperchaoticfinancialsystemsviaadaptivecontrol |