Control and Synchronization of a Novel Realizable Nonlinear Chaotic System
The study proposes a novel chaotic system with a cubic non-linear term. Different system characteristics are investigated including equilibria, stability, invariance, dissipation, Lyapunov dimension, and Lyapunov exponents. Also, the electronic circuit and Signal flow graph of the system are carried...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-03-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/7/3/253 |
| _version_ | 1797611596889980928 |
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| author | Mohammed Almuzaini Abdullah Alzahrani |
| author_facet | Mohammed Almuzaini Abdullah Alzahrani |
| author_sort | Mohammed Almuzaini |
| collection | DOAJ |
| description | The study proposes a novel chaotic system with a cubic non-linear term. Different system characteristics are investigated including equilibria, stability, invariance, dissipation, Lyapunov dimension, and Lyapunov exponents. Also, the electronic circuit and Signal flow graph of the system are carried out to show the applicability of the chaotic system. Lyapunov stability theorem converts the system’s chaotic behavior to unstable trivial fixed point. The study also focuses on demonstrating complete synchronization between two similar novel chaotic systems. According to Lyapunov stability theorem, simple application in secure communication was developed by employing the chaos synchronization results. Numerical simulations for the systems are performed for establishing the synchronization strategy effectiveness and proposed control. |
| first_indexed | 2024-03-11T06:30:57Z |
| format | Article |
| id | doaj.art-5a1979f9724c447eb992d6d63a650731 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-11T06:30:57Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-5a1979f9724c447eb992d6d63a6507312023-11-17T11:12:27ZengMDPI AGFractal and Fractional2504-31102023-03-017325310.3390/fractalfract7030253Control and Synchronization of a Novel Realizable Nonlinear Chaotic SystemMohammed Almuzaini0Abdullah Alzahrani1Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaFaculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThe study proposes a novel chaotic system with a cubic non-linear term. Different system characteristics are investigated including equilibria, stability, invariance, dissipation, Lyapunov dimension, and Lyapunov exponents. Also, the electronic circuit and Signal flow graph of the system are carried out to show the applicability of the chaotic system. Lyapunov stability theorem converts the system’s chaotic behavior to unstable trivial fixed point. The study also focuses on demonstrating complete synchronization between two similar novel chaotic systems. According to Lyapunov stability theorem, simple application in secure communication was developed by employing the chaos synchronization results. Numerical simulations for the systems are performed for establishing the synchronization strategy effectiveness and proposed control.https://www.mdpi.com/2504-3110/7/3/253chaotic systemchaos controlsynchronizationLyapunov exponents |
| spellingShingle | Mohammed Almuzaini Abdullah Alzahrani Control and Synchronization of a Novel Realizable Nonlinear Chaotic System Fractal and Fractional chaotic system chaos control synchronization Lyapunov exponents |
| title | Control and Synchronization of a Novel Realizable Nonlinear Chaotic System |
| title_full | Control and Synchronization of a Novel Realizable Nonlinear Chaotic System |
| title_fullStr | Control and Synchronization of a Novel Realizable Nonlinear Chaotic System |
| title_full_unstemmed | Control and Synchronization of a Novel Realizable Nonlinear Chaotic System |
| title_short | Control and Synchronization of a Novel Realizable Nonlinear Chaotic System |
| title_sort | control and synchronization of a novel realizable nonlinear chaotic system |
| topic | chaotic system chaos control synchronization Lyapunov exponents |
| url | https://www.mdpi.com/2504-3110/7/3/253 |
| work_keys_str_mv | AT mohammedalmuzaini controlandsynchronizationofanovelrealizablenonlinearchaoticsystem AT abdullahalzahrani controlandsynchronizationofanovelrealizablenonlinearchaoticsystem |