Projective synchronization in a new 5D hyper-chaotic system

This paper investigates the projective synchronization problem in a new 5D hyper-chaotic system. Firstly, the existence of projective synchronization problem for such system is proven. Moreover, a non-singular transformation is found and used to divide the 5D hyper-chaotic system into two subsystems. Secondly, two controllers are proposed by using the dynamic feedback control method and the linear feedback control method. Finally, numerical simulations are carried out to verify the correctness and effectiveness of the proposed results.