CONTROLLING HYPERCHAOS AND SYNCHRONIZATION OF AN UNCERTAIN MODIFIED HYPERCHAOTIC LÜ SYSTEM

This paper investigates the adaptive control and synchronization of an uncertain modified hyperchaotic Lü system recently discovered by Wang, Zhang, Zheng and Li (2006). This paper deploys nonlinear control for controlling the hyperchaos of the modified hyperchaotic Lü system with unknown parameters and then synchronizing two identical modified hyperchaotic Lü systems with unknown parameters. First, adaptive control laws are designed to stabilize the modified hyperchaotic Lü 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 modified hyperchaotic Lü systems with unknown parameters. Numerical simulations are presented to demonstrate the effectiveness of the proposed adaptive control and synchronization schemes.