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Chaos synchronization of coupled hyperchaotic system

Author

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  • Yang, Li-Xin
  • Chu, Yan-Dong
  • Zhang, Jian-Gang
  • Li, Xian-Feng

Abstract

Chaos synchronization, as an important topic, has become an active research subject in nonlinear science. Over the past two decades, chaos synchronization between nonlinear systems has been extensively studied, and many types of synchronization have been announced. This paper introduces synchronization of coupled hyperchaotic system, based on the Lapunov stability theory, asymptotic stability of the system is guaranteed by means of Lapunov function. The numerical simulation was provided in order to show the effectiveness of this method for the synchronization of the chaotic hyperchaotic Chen system and Rossler system.

Suggested Citation

  • Yang, Li-Xin & Chu, Yan-Dong & Zhang, Jian-Gang & Li, Xian-Feng, 2009. "Chaos synchronization of coupled hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 724-730.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:724-730
    DOI: 10.1016/j.chaos.2009.01.043
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    References listed on IDEAS

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    1. Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
    2. Elabbasy, E.M. & Agiza, H.N. & El-Dessoky, M.M., 2006. "Adaptive synchronization of a hyperchaotic system with uncertain parameter," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1133-1142.
    3. Chen, Hsien-Keng, 2005. "Global chaos synchronization of new chaotic systems via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1245-1251.
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