Nonlinear Dynamics

, Volume 62, Issue 4, pp 875–882 | Cite as

Complete synchronization of chaotic complex nonlinear systems with uncertain parameters

  • Gamal M. Mahmoud
  • Emad E. Mahmoud
Original Paper


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.


Chaotic system Synchronization Uncertain Error function Lyapunov function Complex 


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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceAssiut UniversityAssiutEgypt
  2. 2.Department of Mathematics, Faculty of ScienceSohag UniversitySohagEgypt

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