Adaptive control and synchronization of a new hyperchaotic system with unknown parameters

This Letter is involved with control and synchronization of a new hyperchaotic system with unknown parameters. Based on the Lyapunov stability theorem, this uncertain hyperchaotic system is stabilized to unstable equilibrium via adaptive control. In addition, synchronizations not only between two identical hyperchaotic systems but particularly also between two different uncertain hyperchaotic systems are realized via adaptive controllers and parameter update laws. Numerical simulations are given for the purpose of illustration and verification.