To synchronize quadratic chaotic systems, a synchronization scheme based on simultaneous estimation of nonlinear dynamics (SEND) is presented in this paper. To estimate quadratic terms, a compensator including Jacobian matrices in the proposed master–slave schematic is considered. According to the proposed control law and Lyapunov theorem, the asymptotic convergence of synchronization error to zero is proved. To identify unknown parameters, an adaptive mechanism is also used. Finally, a number of numerical simulations are provided for the Lorenz system and a memristor-based chaotic system to verify the proposed method.
Synchronization of Quadratic Chaotic Systems Based on Simultaneous Estimation of Nonlinear Dynamics
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received December 2, 2017; final manuscript received May 22, 2018; published online June 18, 2018. Assoc. Editor: Anindya Chatterjee.
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Zarei, A., and Tavakoli, S. (June 18, 2018). "Synchronization of Quadratic Chaotic Systems Based on Simultaneous Estimation of Nonlinear Dynamics." ASME. J. Comput. Nonlinear Dynam. August 2018; 13(8): 081001. https://doi.org/10.1115/1.4040459
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