A fractional-order hyperchaotic system and its synchronization

In this paper a novel fractional-order hyperchaotic system is proposed. The chaotic properties of the system in phase portraits are analyzed by using linear transfer function approximation of the fractional-order integrator block. Furthermore, synchronization between two fractional-order systems is achieved by utilizing a single-variable feedback method. Simulation results show that our scheme can not only make the two systems synchronized, but also let them remain in chaotic states.