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Projective cluster synchronization in drive-response dynamical networks

Author

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  • Hu, Manfeng
  • Xu, Zhenyuan
  • Yang, Yongqing

Abstract

In this paper, we study the projective cluster synchronization in a drive-response dynamical network with 1+N coupled partially linear chaotic systems. Because the scaling factors characterizing the dynamics of projective synchronization remain unpredictable, pinning control ideas are adopted to direct the different scaling factors onto the desired values. It is also shown that the projection cluster synchronization can be realized by controlling only one node in each cluster. Numerical simulations on the chaotic Lorenz system are illustrated to verify the theoretical results.

Suggested Citation

  • Hu, Manfeng & Xu, Zhenyuan & Yang, Yongqing, 2008. "Projective cluster synchronization in drive-response dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3759-3768.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:14:p:3759-3768
    DOI: 10.1016/j.physa.2008.02.066
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    Cited by:

    1. Wang, Fei & Yang, Yongqing & Hu, Manfeng & Xu, Xianyun, 2015. "Projective cluster synchronization of fractional-order coupled-delay complex network via adaptive pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 134-143.
    2. Li, Wenlin & Li, Chong & Song, Heshan, 2016. "Synchronization between uncertain nonidentical networks with quantum chaotic behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 270-277.

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