Adaptive synchronization of a novel fractional-order hyperchaotic system with uncertain parameters

In this paper, the self-synchronization of a new constructed fractional-order hyperchaotic system with uncertain parameters is achieved by the method of adaptive control. Firstly, we proposed a novel fractional-order system which is derived from a integer-order hyperchaotic system. In order to verify the existence of the proposed fractional-order system, numerical simulation and circuitry experimental are carried out. Then to get the self-synchronization of this fractional-order system, adaptive controller is designed according to the stability theory of fractional-order system. By numerical simulation, the correctness and effectiveness of the proposed synchronization method is verified.