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Dynamics analysis and synchronization of T chaotic system with its circuit simulation

Wang Zhen Sun Wei

Dynamics analysis and synchronization of T chaotic system with its circuit simulation

Wang Zhen, Sun Wei
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  • Received Date:  18 May 2012
  • Accepted Date:  16 August 2012
  • Published Online:  20 January 2013

Dynamics analysis and synchronization of T chaotic system with its circuit simulation

  • 1. Department of Foundation, Xijing University, Xi'an 710123, China;
  • 2. School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 10971164), the Natural Science Foundation of Shaanxi Province (Grant No. 2011EJ001), the Scientific Research Program Funded by Shaanxi Provincial Education Department (Grant Nos. 12JK1077, 12JK1073), and the Scientific Research Foundation of Xijing University (Grant Nos. XJ120107, XJ120108).

Abstract: The stability of equilibrium of a T chaotic system is analyzed, and the system bifurcation, Lyapunov exponent, Poincare section with numerical analysis are studied. Also, the synchronization problem with T chaotic systems with known or unknown parameters is studied in this paper. According to the Lyapunov function, feedback controller of the system is designed and has been proved. An electronic circuit is designed to realize the controller using Multisim. The simulation results demonstrate the effectiveness and realizableness of the proposed method.

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