Projective synchronization of a new 4-D quadratic autonomous hyper-chaotic system by a single input controller

This paper investigates the projective synchronization problem of a new 4-D quadratic autonomous hyperchaotic system. Firstly, the existence of the projective synchronization problem of this hyper-chaotic system is proved. Then, the projective synchronization problem of such system is realized by a single input controller which is obtained by the dynamic feedback control method. Finally, numerical simulation is performed to verify the validity and effectiveness of the theoretical results.