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A new chaotic system and its implementation

Li Chun-Lai Yu Si-Min Luo Xiao-Shu

A new chaotic system and its implementation

Li Chun-Lai, Yu Si-Min, Luo Xiao-Shu
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Publishing process
  • Received Date:  11 October 2011
  • Accepted Date:  05 June 2012
  • Published Online:  05 June 2012

A new chaotic system and its implementation

  • 1. College of Automation, Guangdong University of Technology, Guangzhou 510006, China;
  • 2. College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China;
  • 3. College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 61172023, 60871025, 10862001), the Natural Science Foundation of Guangdong Province, China (Grant Nos. S2011010001018, 8151009001000060), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20114420110003).

Abstract: Based on the construction patterns of Chen and Liu chaotic systems, a new chaotic system is proposed by developing the Lorenz chaotic system. The essential features of chaotic system are analyzed via equilibrium, stability, continuous spectrum, and Poincare mapping. The different dynamic behaviors of the system are analyzed especially when each system parameter changes. It is found that when parameters d and e vary, the Lyapunov exponent spectrum keeps invariable, and there exist the functions of global nonlinear amplitude adjuster for d and partial nonlinear amplitude adjuster for e. Finally, a practical circuit is designed to implement this new chaotic system, which confirms that the chaotic system can be achieved physically.

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