Abstract
The hyperchaotic Liu system (Wang and Liu, 2006) is one of the important models of four-dimensional hyperchaotic systems. This paper investigates the adaptive chaos control and synchronization of hyperchaotic Liu system with unknown parameters. First, adaptive control laws are designed to stabilize the hyperchaotic Liu system to its unstable equilibrium at the origin based on the adaptive control theory and Lyapunov stability theory. Then adaptive control laws are derived to achieve global chaos synchronization of identical hyperchaotic Liu systems with unknown parameters. Numerical simulations are presented to demonstrate the effectiveness of the proposed adaptive chaos control and synchronization schemes.
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