Abstract

Based on the three-dimensional Liu chaotic system, a state variable was added to construct a new hyperchaos Liu system. Through numerical simulation, the Lyapunov index spectrum, bifurcation diagram and phase diagram of the new hyperchaos Liu system were studied. Furthermore, its hardware circuits were implemented, and the corresponding waves of chaos were observed by oscillograph. At the same time, by employing the synchronization control method of single variable coupling feedback, the synchronous circuits of the two new hyperchaos Liu system were designed. In addition, the synchronous control was studied via experiments, and the parameter range for controlling the synchronization was found.

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