In this paper, a hyperchaotic system is presented as the chaotic carrier to encrypt information in secure communication. The sensitivity to the system parameters and delay of the hyperchaotic system, i.e., its chaotic degree indicated by the number of positive Lyapunov exponents, increases with its system parameter and delay, guaranteeing a large enough key space when one selects its system par...

This paper investigates the global chaos synchronization of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009) by sliding mode control. The stability results derived in this paper for the complete synchronization of identical hyperchaotic Xu systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode co...

In this paper, we investigate adaptive switched generalized function projective synchronization between two new different hyperchaotic systems with unknown parameters, which is an extension of the switched modified function projective synchronization scheme. Based on the Lyapunov stability theory, corresponding adaptive controllers with appropriate parameter update laws are constructed to achie...

Self-excited and hidden chaotic attractors are interesting complex dynamical phenomena. Here, Matouk’s hyperchaotic systems shown to have self-excited attractors, respectively. Two case studies of provided which examined with orders 3.08 3.992, Moreover, found in the fractional-order system its integer-order counterpart. The existence one-eyed face is also reported this work. Our results show t...

A new synchronization theorem for a class of chaotic systems is presented in this paper. We take the last state variable of drive system as the driving scalar signal. Its linear feedback gain is a function of a free parameter. It is also proved that the global synchronization can be attained through simple linear output error feedback. This approach is illustrated by Chua's circuit and a 4D hyp...