Generalized Adaptive Backstepping Synchronization for Non-identical Parametrically Excited Systems

In this paper, we investigate the synchronization of chaoti c systems consisting of non-identical parametrically excited oscillators. The backstepping design, which is a recursive procedure that combines the choice of a Lyapunov function with the design of a controller is generalized and employed so as to achieve global chaos synchronization between a parametrically excited gyroscope and each of the parametrically excited pendulum and Duffing oscillator. Numerical simulations are implemented to verify the results.

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