Chaos switch-synchronization for a class of 4-D chaotic systems

A class of switchable four-dimensional chaotic systems is built by adding an additional state to the three-order Lorenz system or Liu system. Some of its basic dynamical properties are studied briefly, such as the feature of equilibrium, the chaos attractor, Lyapunov exponent and fractal dimension. An electronic circuit is designed to realize the class of switchable four-dimensional chaos systems. A method of chaos switch-synchronization between several chaotic systems based on nonlinear feedback control is proposed. Based on the stability theory, the functions of the nonlinear feedback control for synchronization of these systems are determined and the range of available feedback gain is derived.