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Sprott system locked on chaos with constant Lyapunov exponent spectrum and its anti-synchronization

Li Chun-Biao Xu Ke-Sheng Hu Wen

Sprott system locked on chaos with constant Lyapunov exponent spectrum and its anti-synchronization

Li Chun-Biao, Xu Ke-Sheng, Hu Wen
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Publishing process
  • Received Date:  04 December 2010
  • Accepted Date:  11 May 2011
  • Published Online:  05 June 2011

Sprott system locked on chaos with constant Lyapunov exponent spectrum and its anti-synchronization

  • 1. School of Information Science and Engineering, Southeast University, Nanjing 210096, China;
  • 2. School of Engineering Technology, Jiangsu Institute of Economic and Trade Technology, Nanjing 210007, China;
  • 3. School of Physical Science and Technology, Guangxi Normal University, Guilin 541004, China;
  • 4. College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Abstract: Chaos realization in Sprott system depends on the nonlinear function of single absolute term. Under this condition, the chaos in the system is locked with constant Lyapunov exponent spectrum by introducing new control parameters. So the amplitude and the phase of the signal output in the system can be controlled and modulated. Anti-synchronization system is constructed, and anti-synchronization is obtained by introducing only one control term in the response system based on Lyapunov potential function method.

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