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物理学报  2007 

A hyperchaotic Lorenz attractor and its circuit implementation
一个超混沌Lorenz吸引子及其电路实现

Keywords: Lorenz system,hyperchaotic attractor,circuit implementation
Lorenz系统
,超混沌吸引子,电路实现

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Abstract:

In this paper, a new hyperchaotic system is constructed by introducing an additional state variable into the third-order Lorenz system. Some basic properties, including dissipativity, equlibria, stability and Hopf bifurcation, of this hyperchaotic system are analyzed in detail, and the bifurcation routes to hyperchaos from periodic, chaotic evolutions are observed. The existence of hyperchaos is verified with Lyapunov exponent spectrum. Moreover, an analog electronic circuit is designed, and various hyperchaotic attractors of this system are observed from the circuit experiments.

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