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A family of four-dimensional multi-wing chaotic system and its circuit implementation

Luo Ming-Wei Luo Xiao-Hua Li Hua-Qing

A family of four-dimensional multi-wing chaotic system and its circuit implementation

Luo Ming-Wei, Luo Xiao-Hua, Li Hua-Qing
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  • Abstract views:  883
  • PDF Downloads:  767
  • Cited By: 0
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  • Received Date:  30 March 2012
  • Accepted Date:  24 August 2012
  • Published Online:  20 January 2013

A family of four-dimensional multi-wing chaotic system and its circuit implementation

  • 1. College of Automation, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;
  • 2. College of Optoelectronic Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;
  • 3. College of Computer Science, Chongqing University, Chongqing 400044, China

Abstract: A new method to generate multi-wing butterfly chaotic attractors is presented. Based on the three-dimensional Lorenz system, in this paper we propose a four-dimensional multi-wing chaotic system by appending a state variable and a piecewise linear function. The equilibrium points and Lyapunov exponent spectra of the system are studied. Furthermore, an electronic circuit is designed to implement the system. The experimental results are in agreement with numerical simulation results, which verify the feasibility and availability of this method.

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