Abstract
A class of correlative three-dimensional (3D) chaotic and four-dimensional (4D) hyper chaotic switchable systems is built. 4D hyper chaotic system is designed bases on 3D Lorenz system family. Some of its basic dynamical properties are studied in detail, such as the feature of equilibrium, the phase portraits of hyper chaotic attractor, the Lyapunov exponent and the fractal dimension. Furthermore, a practical circuit is designed to implement the switching between those 6 different systems.
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