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Generalized lag-synchronization of continuous chaotic system

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  • Huang, Yuehua
  • Wang, Yan-Wu
  • Xiao, Jiang-Wen

Abstract

Sufficient condition for the generalized lag-synchronization of continuous chaotic system with a kind of nonlinear transformation and a constant lag time is derived. The method is illustrated by applications to Lorenz system and Duffing system, respectively and the simulation results demonstrate the effectiveness of the proposed theorem.

Suggested Citation

  • Huang, Yuehua & Wang, Yan-Wu & Xiao, Jiang-Wen, 2009. "Generalized lag-synchronization of continuous chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 766-770.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:2:p:766-770
    DOI: 10.1016/j.chaos.2007.08.022
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    References listed on IDEAS

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    1. Zhang, Gang & Liu, Zengrong & Ma, Zhongjun, 2007. "Generalized synchronization of different dimensional chaotic dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 773-779.
    2. Li, Guo-Hui, 2006. "Generalized projective synchronization of two chaotic systems by using active control," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 77-82.
    3. Li, Changpin & Yan, Jianping, 2006. "Generalized projective synchronization of chaos: The cascade synchronization approach," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 140-146.
    4. Zhang, Rong & Xu, Zhenyuan & Yang, Simon X. & He, Xueming, 2008. "Generalized synchronization via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 97-105.
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    Cited by:

    1. Martínez-Guerra, Rafael & Mata-Machuca, Juan L., 2014. "Generalized synchronization via the differential primitive element," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 848-857.

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