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Generalized synchronization of chaos based on suitable separation

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  • Li, Guo-Hui

Abstract

In this Letter, generalized synchronization with a kind of function relationship between the states of drive and response chaotic systems is achieved. From matrix measure theory, some sufficient conditions for generalized synchronization are derived through suitable separation by decomposing the system as the linear part and the nonlinear one. Simulation results are provided for illustration and verification of the proposed method.

Suggested Citation

  • Li, Guo-Hui, 2009. "Generalized synchronization of chaos based on suitable separation," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2056-2062.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:5:p:2056-2062
    DOI: 10.1016/j.chaos.2007.06.055
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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. Wang, Yan-Wu & Guan, Zhi-Hong, 2006. "Generalized synchronization of continuous chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 97-101.
    3. Elabbasy, E.M. & Agiza, H.N. & El-Dessoky, M.M., 2005. "Global synchronization criterion and adaptive synchronization for new chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1299-1309.
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