中文

Journal of Applied Sciences ›› 2010, Vol. 28 ›› Issue (4): 406-413.doi: 10.3969/j.issn.0255-8297.2010.04.013

• Electronic Engineering • Previous Articles     Next Articles

Circuit Design as Implementation of Four Dimensional Hyper-chaos and Its Projective Synchronization

LIU Ming-hua1;2, FENG Jiu-chao1;3   

  1. 1. School of Electronic and Information Engineering, South China University of Technology,
    Guangzhou 510641, China
    2. College of Mathematics and Physics, Jinggangshan University, Ji’an 343009, Jiangxi Province, China
    3. Guangzhou Auto College, South China University of Technology, Guangzhou 510641, China
  • Received:2010-05-22 Revised:2010-07-09 Online:2010-07-23 Published:2010-07-23

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Abstract:

We obtain a four-dimensional system by adding a nonlinear state feedback controller to a threedimensional chaotic system. The dynamical behaviors of this 4D system are investigated, including the Lyapunov exponent spectrum and bifurcation diagram. The results show that it is a 4D hyperchaotic system with two positive Lyapunov exponents. Projective synchronization for the 4D hyperchaotic system is realized based
on the stability criterion of linear systems. An electronic circuit is designed and implemented with projective synchronization of the 4D hyperchaotic system. The circuit consists of four parts: anti-adders, integrators, inverters and multipliers. Experimental observations are in agreement with numerical simulations.

Key words: hyperchaos, Lyapunov exponent, projective synchronization, circuit experiment

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