A simple adaptive control for full and reduced-order synchronization of uncertain time-varying chaotic systems |
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| Authors: | UE Vincent Rongwei Guo |
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| Institution: | 1. Department of Physics, Faculty of Science, Olabisi Onabanjo University, P.M.B 2002, Ago-Iwoye, Nigeria;2. Department of Nonlinear Dynamics and Statistical Physics, Institute of Theoretical Physics, Technical University of Clausthal, Arnold-Sommerfeld Strasse 6, 38678 Clausthal-Zellerfeld, Germany;3. Department of Mathematical and Physical Sciences, Shandong Institute of Light Industry, Jinan 250353, PR China;1. Department of Mathematics and Computer Science, Tebessa University, Algeria;2. Mathematics Department, Faculty of Science, University of Hail, Saudi Arabia |
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| Abstract: | In this paper, a simple adaptive feedback control is proposed for full and reduced-order synchronization of time-varying and strictly uncertain chaotic systems. Our method uses only one feedback gain with parameter adaptation law and converges very fast even in the presence of noise. For full synchronization, a drive-response system consisting of two second-order identical parametrically excited oscillators achieve global synchronization; while for reduced-order synchronization, the dynamical evolution of a second-order parametrically driven oscillator is synchronized with the projection of a third-order time-varying chaotic system. The effectiveness of our approach is demonstrated using numerical simulations. |
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