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Symplectic synchronization of different chaotic systems

Author

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  • Ge, Zheng-Ming
  • Yang, Cheng-Hsiung

Abstract

In this paper, a new symplectic synchronization of chaotic systems is studied. Traditional generalized synchronizations are special cases of the symplectic synchronization. A sufficient condition is given for the asymptotical stability of the null solution of an error dynamics. The symplectic synchronization may be applied to the design of secure communication. Finally, numerical results are studied for a Quantum-CNN oscillators synchronized with a Rössler system in three different cases.

Suggested Citation

  • Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2009. "Symplectic synchronization of different chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2532-2543.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:5:p:2532-2543
    DOI: 10.1016/j.chaos.2007.10.055
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    References listed on IDEAS

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    1. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2007. "Synchronization of complex chaotic systems in series expansion form," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1649-1658.
    2. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2008. "The generalized synchronization of a Quantum-CNN chaotic oscillator with different order systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 980-990.
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    Cited by:

    1. Cheng-Hsiung Yang, 2013. "Enhanced Symplectic Synchronization between Two Different Complex Chaotic Systems with Uncertain Parameters," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Cheng-Hsiung Yang, 2013. "Symplectic Synchronization of Lorenz‐Stenflo System with Uncertain Chaotic Parameters via Adaptive Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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