CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2010, Vol. 27 ›› Issue (6): 927-932.

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Dynamical Analysis and Circuit Implementation of an Autonomous Chaotic System

WANG Mengjiao1,2, ZENG Yicheng1, XU Maolin3   

  1. 1. School of Material Science and Photoelectronic Physics, Xiangtan University, Xiangtan 411005, China;
    2. Department of Physics and Information Engineering, Hunan Institute of Humanities, Science and Technology, Loudi 417000, China;
    3. Beijing Information Technology Institute, Beijing 100101, China
  • Received:2009-07-03 Revised:2009-10-19 Online:2010-11-25 Published:2010-11-25

Abstract: We study a three-dimensional quadratic autonomous chaotic system.Basic dynamic characteristics are analyzed via theoretical analysis and numerical simulation.Lyapunov exponent spectrum,Lyapunov dimension as well as bifurcation diagram are calculated.An electronic circuit is designed to realize the chaotic system.Relationships between system parameters and circuit parameters are built.The circuit is simulated using Pspice.Simulation results confirm the analysis.The system discussed is different from Lorenz system,Rössler system,Chen system and Lü system.The chaotic circuit is simple and practical.

Key words: three-dimensional chaotic system, Lyapunov exponent spectrum, circuitry implementation

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