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A constructional method for generalized synchronization of coupled time-delay chaotic systems

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  • Xiang, Hui-fen
  • Li, Gao-ping

Abstract

A constructional method for detecting the existence and determining the functional relationship of generalized synchronization is introduced in this paper. Based on the stability theory of fixed points of dynamical systems, we show theoretically and numerically that an appropriate coupling scheme allows us to find the synchronization functional relationship between the states of coupled time-delay chaotic systems. On the other hand, given a synchronization function, this approach may help us to design the coupling scheme. To demonstrate the proposed method, Ikeda system is presented as an example.

Suggested Citation

  • Xiang, Hui-fen & Li, Gao-ping, 2009. "A constructional method for generalized synchronization of coupled time-delay chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1849-1853.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1849-1853
    DOI: 10.1016/j.chaos.2008.07.036
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    References listed on IDEAS

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    1. Li, Chuandong & Liao, Xiaofeng & Zhang, Rong, 2005. "A unified approach for impulsive lag synchronization of chaotic systems with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1177-1184.
    2. Zhu, Wei & Xu, Daoyi & Huang, Yumei, 2008. "Global impulsive exponential synchronization of time-delayed coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 904-912.
    3. Li, Chuandong & Chen, Qián & Huang, Tingwen, 2008. "Coexistence of anti-phase and complete synchronization in coupled chen system via a single variable," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 461-464.
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