Shimizu-morioka Chaotic System
نویسنده
چکیده
This paper derives new results for the adaptive control and synchronization design of the Shimizu-Morioka chaotic system (1980), when the system parameters are unknown. First, we build an adaptive controller to stabilize the Shimizu-Morioka chaotic system to its unstable equilibrium at the origin. Then we build an adaptive synchronizer to achieve global chaos synchronization of the identical Shimizu-Morioka chaotic systems with unknown parameters. The results derived for adaptive control and adaptive synchronization for the Shimizu-Morioka chaotic system have been proved using adaptive control theory and Lyapunov stability theory. Numerical simulations have been depicted to demonstrate the effectiveness of the adaptive control and synchronization schemes derived in this paper for the Shimizu-Morioka chaotic system.
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