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https://ptsldigital.ukm.my/jspui/handle/123456789/500155| Title: | Dual synchronization and dual anti-synchronization of chaotic and hyperchaotic systems |
| Authors: | Othman Abdullah Ali Al Matroud (P75744) |
| Supervisor: | Mohd Salmi Noorani, Prof. Dr. |
| Keywords: | Chaotic behavior in systems Universiti Kebangsaan Malaysia -- Dissertations Dissertations, Academic -- Malaysia |
| Issue Date: | 19-Jan-2018 |
| Description: | Chaos theory paves a way forward in the investigation of nonlinear dynamics for systems that evolve with time. Recently, much attention has been devoted to the search for better and more efficient methods for multi-systems cases of chaos synchronization. One of these cases is the dual synchronization, which was proposed by Liu and Davids in 2000. The main feature of this behavior is that there are two slave systems that must be synchronized with two master systems. The state vectors of the master systems are combined linearly to generate a signal that is fed to the slave systems. The objectives of this thesis are to enhance the dual synchronization and dual anti-synchronization methods further, by designing some new dual synchronization controllers. The controllers have managed to overcome the limitations of the previous dual synchronization methods and proved to be effective controllers. In this thesis, a favorable nonlinear controller is designed to achieve dual synchronization between two identical pairs of chaotic and hyperchaotic systems when the parameters of systems are fully known. Meanwhile, adaptive controllers associated with the parameters update rule of systems parameters are devised to make the states of two identical pairs of chaotic and hyperchaotic systems asymptotically dual synchronized with terms of parametric uncertainty. Another interesting phenomenon which has been investigated is dual anti-synchronization, where the concept of dual synchronization is extended to dual anti-synchronization between two identical and different pairs of chaotic and hyperchaotic systems by designing a new dual anti-synchronization controls and using nonlinear and adaptive techniques. In addition, the projective dual synchronization is presented among various identical chaotic and hyperchaotic systems applying scaling factors and using adaptive control method. Furthermore, a scaling function has been used to achieve function projective dual synchronization between two identical pairs of chaotic and hyperchaotic systems. Eventually, a new improved adaptive control technique is proposed to demonstrate that dual synchronization and dual anti-synchronization can coexist in two different pairs with different structures of chaotic and hyperchaotic systems. In all controls techniques above, the sufficient conditions are demonstrated analytically and the controllers are proved based on Lyapunov stability theory. Also, all the methods above are tested and successfully applied for several chaotic and hyperchaotic systems. Numerical examples are applied to verify the effectiveness of the proposed schemes.,'Certification of Master's/Doctoral Thesis' is not available,Ph.D. |
| Pages: | 242 |
| Call Number: | Q172.5.C45M378 2018 tesis |
| Publisher: | UKM, Bangi |
| Appears in Collections: | Faculty of Science and Technology / Fakulti Sains dan Teknologi |
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|---|---|---|---|---|
| ukmvital_108160+SOURCE1+SOURCE1.0.PDF Restricted Access | 1.58 MB | Adobe PDF |  View/Open |
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