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Control and adaptive modified function projective synchronization of Liu chaotic dynamical system |
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| Authors: | Mohamed Mohamed EL-Dessoky Ahme Ebraheem Othman Alzahrani and Nehad Ahmed Almohammadi |
| Institution: | Mathematics Department, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia,Mathematics Department, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia,Mathematics Department, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia |
| Abstract: | In this work, the feedback control method is proposed to control the behaviour of Liu chaotic dynamical system. The controlled system is stable under some conditions on the parameters of the system determined by Routh-Hurwitz criterion. This paper also presents the adaptive modified function projective synchronization (AMFPS) between two identical Liu chaotic dynamical systems. Based on the Lyapunov stability theorem, adaptive control laws are designed to achieving the AMFPS. Finally, some numerical simulations are obtained to validate the proposed methods. |
| Keywords: | Feedback control method Liu chaotic dynamical system Routh-Hurwitz criterion Lyapunov stability projective synchronization |
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