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Complete synchronization of chaotic complex nonlinear systems with uncertain parameters

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Abstract

Our main objective in this work is to investigate complete synchronization (CS) of n-dimensional chaotic complex systems with uncertain parameters. An adaptive control scheme is designed to study the synchronization of chaotic attractors of these systems. We applied this scheme, as an example, to study complete synchronization of chaotic attractors of two identical complex Lorenz systems. The adaptive control functions and the parameters estimation laws are calculated analytically based on the complex Lyapunov function. We show that the error dynamical systems are globally stable. Numerical simulations are computed to check the analytical expressions of adaptive controllers.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Assiut University, Assiut, 71516, Egypt

    Gamal M. Mahmoud

  2. Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt

    Emad E. Mahmoud

Authors
  1. Gamal M. Mahmoud
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  2. Emad E. Mahmoud
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Correspondence to Gamal M. Mahmoud.

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Mahmoud, G.M., Mahmoud, E.E. Complete synchronization of chaotic complex nonlinear systems with uncertain parameters. Nonlinear Dyn 62, 875–882 (2010). https://doi.org/10.1007/s11071-010-9770-y

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