Adaptive anti-synchronization between different hyperchaotic systems with uncertain parameters
نویسنده
چکیده
Abstract This article deals with anti-synchronization between different hyperchaotic systems such as Lu system and Newton-Leipnik system; and Newton-Leipnik system and Rossler system using adaptive control method. Based on Lyapunov stability theory, the anti synchronization between a pair of hyperchaotic systems with fully unknown parameters are derived. An adaptive control law and a parameter update rule for unknown parameters are designed such that the hyperchaotic Newton-Leipnik system is controlled to be the hyperchaotic Lu system and hyperchaotic Rossler system is controlled to be the hyperchaotic Newton-Leipnik system. Numerical simulation results which are carried out using MATLAB, show that the adaptive control method is effective, easy to implement and reliable for antisynchronizing of the considered hyperchaotic systems.
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