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Adaptive synchronization of linearly coupled unified chaotic systems

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  • Chen, Heng-Hui
  • Lee, Ching-I
  • Yang, Pao-Hwa

Abstract

This study achieves the adaptive synchronization of two linearly coupled unified chaotic systems by using the Lyapunov stability theorem and a minimum scheme to derive appropriate balanced coupling coefficients. The proposed scheme requires no prior knowledge of the upper bounds of the trajectories of the coupled chaotic systems. The feasibility and effectiveness of the proposed chaos synchronization scheme are verified via numerical simulations.

Suggested Citation

  • Chen, Heng-Hui & Lee, Ching-I & Yang, Pao-Hwa, 2009. "Adaptive synchronization of linearly coupled unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 598-606.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:2:p:598-606
    DOI: 10.1016/j.chaos.2007.08.005
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    References listed on IDEAS

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    1. Park, Ju H., 2005. "Stability criterion for synchronization of linearly coupled unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1319-1325.
    2. Yassen, M.T., 2005. "Controlling chaos and synchronization for new chaotic system using linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 913-920.
    3. Yan, Jun-Juh & Yang, Yi-Sung & Chiang, Tsung-Ying & Chen, Ching-Yuan, 2007. "Robust synchronization of unified chaotic systems via sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 947-954.
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    1. Zribi, Mohamed & Smaoui, Nejib & Salim, Haitham, 2009. "Synchronization of the unified chaotic systems using a sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3197-3209.

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