J4 ›› 2011, Vol. 46 ›› Issue (7): 30-34.

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Generation and circuit implementation of a unified hyperchaotic system

ZHANG Wei-qiang, LIU Yang-zheng*   

  1. Institute of Nonlinear Physics, Nanjing Institute of Technology, Nanjing 211167, Jiangsu, China
  • Received:2010-12-10 Online:2011-07-20 Published:2011-09-08


To solve the implementation problem of unified hyperchaotic system, a four-dimensional unified hyperchaotic system is generated via adding dimensional and linear feedback to the three-dimensional unified chaotic system. The characters of three equilibriums are discussed and a fractal dimension is calculated. The range of unified hyperchaotic system is studied by Lyapunov exponent spectrum and bifurcation diagram. The parameter value of unified hyperchaotic system is changed which contain gengeralized hyperchaotic Lorenz system、hyperchaotic L system and gengeralized hyperchaotic Chen system. Compared with other hyperchaotic system,the value of biggest positive Lyapunov exponent for the new unified hyperchaotic system is bigger. The hyperchaotic strange attractors of unified hyperchaotic system are achieved based on digital signal processing(DSP)for some typical systems.

Key words:  the unified hyperchaotic system; Lyapunov exponent; bifurcation diagram;DSP

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