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Synchronization of bidirectionally coupled chaotic Chen’s system with delay

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  • Tarai (Poria), Anindita
  • Poria, Swarup
  • Chatterjee, Prasanta

Abstract

This paper presents synchronization scheme for time-delayed linearly bidirectionally coupled chaotic Chen’s system. The method is based on linear stability analysis of hyperbolic fixed point. Here we derive a generic condition of global chaos synchronization for time-delayed chaotic Chen’s system with linearly bidirectional coupling. The behavior of the system with and without coupling are demonstrated by numerical simulation.

Suggested Citation

  • Tarai (Poria), Anindita & Poria, Swarup & Chatterjee, Prasanta, 2009. "Synchronization of bidirectionally coupled chaotic Chen’s system with delay," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 190-197.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:190-197
    DOI: 10.1016/j.chaos.2007.11.025
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    References listed on IDEAS

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    1. Rakshit, Biswambhar & Chowdhury, A. Roy & Saha, Papri, 2007. "Parameter estimation of a delay dynamical system using synchronization in presence of noise," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1278-1284.
    2. Wang, Junxa & Lu, Dianchen & Tian, Lixin, 2006. "Global synchronization for time-delay of WINDMI System," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 629-635.
    3. Yu, Yongguang, 2007. "The synchronization for time-delay of linearly bidirectional coupled chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1197-1203.
    4. 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.
    5. Shahverdiev, E.M. & Hashimov, R.H. & Nuriev, R.A. & Hashimova, L.H. & Huseynova, E.M. & Shore, K.A., 2006. "Inverse chaos synchronization in linearly and nonlinearly coupled systems with multiple time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 838-844.
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    Cited by:

    1. Mondal, Sayantani, 2019. "A new supply chain model and its synchronization behaviour," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 140-148.

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