Synchronization and control of hyperchaotic complex Lorenz system

Authors:
Gamal M. Mahmoud;Emad E. Mahmoud
Affiliations:
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt;Department of Mathematics, Faculty of Science, Sohag University, Egypt
Venue:
Mathematics and Computers in Simulation
Year:
2010

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Abstract

The aim of this paper is to investigate the phenomenon of projective synchronization (PS) and modified projective synchronization (MPS) of hyperchaotic attractors of hyperchaotic complex Lorenz system which has been introduced recently in our work. The control problem of these attractors is also studied. Our system is a 6-dimensional continuous real autonomous hyperchaotic system. The active control method based on Lyapunov function is used to study PS and MPS of this system. The problem of hyperchaos control is treated by adding the complex periodic forcing. The control performances are verified by calculating Lyapunov exponents. Numerical simulations are implemented to verify the results of these investigations.