| Chaos theory is an important branch of nonlinear science field, the study of chaos has become increasingly important. As the study further in-depth, high-dimensional hyperchaotic system was increasingly attracted attention. In this paper, the theoretical derivation and numerical simulation method of combining study of a typical super-chaotic system control and synchronization of several ways:Firstly, studies chaos synchronization of the new hyperchaotic Chen system via active control. Based on Lyapunov stability theory, a active controller is designed to synchronize two identical systems and two different chaotic systems. Chaos synchronization of two identical hyperchaotic Chen systems and two different chaotic systems have been proved theoretically. Numerical simulations show the effectiveness of the proposed method.Secondly, investigates the synchronization between a novel hyperchaotic system and the hyperchaotic Chen system with more fully unknown parameters. Based on the Lyapunov stability theory, a new adaptive controller with parameters update law is to designed to synchronize these two hyperchaotic systems asymptotically and globally. Numerical simulations are presented to verify the effectiveness of the synchronization scheme.Finally, further investigates the adaptive full state hybrid projective synchronization (FSHPS) of hyper-chaotic systems—CYQY system with fully unknown parameters, named by the first letter of four authors. Based on the Lyapunov stability theory, adaptive controllers and parameters update laws can be designed for achieving the FSHPS of the CYQY hyper-chaotic systems with the same and different structures. Two groups numerical simulations are provided to verify the effectiveness of the proposed scheme. |
