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物理学报  2007 

Hyperchaotic Lorenz system
超混沌Lorenz系统

Keywords: Lorenz system,hyperchaos,Lyaponov exponents,bifurcation
Lorenz系统
,超混沌,Lyapunov指数,分岔

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Abstract:

This paper presents a four-dimensional hyperchaotic Lorenz system, obtained by adding a nonlinear controller to Lorenz chaotic system. The hyperchaotic Lorenz system is studied by bifurcation diagram, Lyapunov exponent spectrum and phase diagram. Numerical simulations show that the new system's behavior can be convergent, divergent, periodic, chaotic and hyperchaotic as the parameter varies.

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