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Synchronization of complex chaotic systems in series expansion form

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

Abstract

This paper studies the synchronization of complex chaotic systems in series expansion form by Lyapunov asymptotical stability theorem. A sufficient condition is given for the asymptotical stability of an error dynamics, and is applied to guiding the design of the secure communication. Finally, numerical results are studied for the Quantum-CNN oscillators synchronizing with unidirectional/bidirectional linear coupling to show the effectiveness of the proposed synchronization strategy.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:5:p:1649-1658
    DOI: 10.1016/j.chaos.2006.04.072
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    References listed on IDEAS

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    1. Yu, Yongguang & Zhang, Suochun, 2005. "Global synchronization of three coupled chaotic systems with ring connection," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1233-1242.
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    1. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2009. "Chaos synchronization and chaotization of complex chaotic systems in series form by optimal control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 994-1002.
    2. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2009. "Symplectic synchronization of different chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2532-2543.

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