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Generalized projective synchronization of chaos: The cascade synchronization approach

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  • Li, Changpin
  • Yan, Jianping

Abstract

The generalized projective synchronization has recently been observed in the coupled chaotic systems. In this paper, we apply the so-called “cascade synchronization approach” to this kind of synchronization, which is shown in the chaotic Lorenz system, the chaotic Rössler system, and the chaotic Chen one.

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  • Li, Changpin & Yan, Jianping, 2006. "Generalized projective synchronization of chaos: The cascade synchronization approach," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 140-146.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:1:p:140-146
    DOI: 10.1016/j.chaos.2005.08.155
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    Cited by:

    1. Guo, Wanli & Chen, Shihua & Zhou, Hong, 2009. "A simple adaptive-feedback controller for chaos synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 316-321.
    2. Hu, Manfeng & Yang, Yongqing & Xu, Zhenyuan & Guo, Liuxiao, 2008. "Hybrid projective synchronization in a chaotic complex nonlinear system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 449-457.
    3. Sun, Yeong-Jeu, 2009. "Exponential synchronization between two classes of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2363-2368.
    4. Xiao, Lin & Li, Linju & Cao, Penglin & He, Yongjun, 2023. "A fixed-time robust controller based on zeroing neural network for generalized projective synchronization of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    5. Huang, Yuehua & Wang, Yan-Wu & Xiao, Jiang-Wen, 2009. "Generalized lag-synchronization of continuous chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 766-770.
    6. Ge, Zheng-Ming & Chang, Ching-Ming, 2009. "Nonlinear generalized synchronization of chaotic systems by pure error dynamics and elaborate nondiagonal Lyapunov function," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1959-1974.

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