Chaotic Synchronization for a New Four-Dimensional Hyperchaos Liu System

The four-dimensional hyperchaos Liu system is built by adding an additional state into the three-order Liu system. Some of its basic dynamical properties are studied briefly, such as the feature of equilibrium, the hyperchaos attractor, Lyapunov exponent and fractal dimension. An electronic circuit is designed to realize the four-dimensional hyperchaos Liu system. A method of chaos synchronization between the four-dimensional hyperchaos Liu system and its duplicate system using nonlinear feedback control is proposed. Based on the stability theory, the functions of the nonlinear feedback control are determined and the range of feedback gain is derived.