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Complete synchronization and stability of star-shaped complex networks

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  • Gu, Ya-Qin
  • Shao, Chun
  • Fu, Xin-Chu

Abstract

The synchronization of the star-shaped networks are investigated using linear stability analysis. Three different cases of simple-center node or multi-center nodes with Logistic map couplings are discussed and the stability conditions for synchronization are given. The main results are illustrated via a network of eight nodes with four centers.

Suggested Citation

  • Gu, Ya-Qin & Shao, Chun & Fu, Xin-Chu, 2006. "Complete synchronization and stability of star-shaped complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 480-488.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:2:p:480-488
    DOI: 10.1016/j.chaos.2005.07.002
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    References listed on IDEAS

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    1. Yu, Yongguang & Zhang, Suochun, 2005. "Global synchronization of three coupled chaotic systems with ring connection," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1233-1242.
    2. Cheng, Chao-Jung & Liao, Teh-Lu & Hwang, Chi-Chuan, 2005. "Exponential synchronization of a class of chaotic neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 197-206.
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    Cited by:

    1. Xi, Yan-Ling & Wu, Zhao-Yan & Fu, Xin-Chu, 2009. "Dynamical synchronization and stability of complex networks with multi-layer centers," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 635-641.
    2. Guan, Zhi-Hong & Zhang, Hao, 2008. "Stabilization of complex network with hybrid impulsive and switching control," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1372-1382.
    3. Liu, Meng & Shao, Yingying & Fu, Xinchu, 2009. "Complete synchronization on multi-layer center dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2584-2591.
    4. Liu, Tao & Zhao, Jun & Hill, David J., 2009. "Synchronization of complex delayed dynamical networks with nonlinearly coupled nodes," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1506-1519.
    5. Hu, Cheng & Jiang, Haijun, 2012. "Cluster synchronization for directed community networks via pinning partial schemes," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1368-1377.
    6. Lu, Jianquan & Ho, Daniel W.C., 2008. "Local and global synchronization in general complex dynamical networks with delay coupling," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1497-1510.
    7. Shi Chen & Hong Zhou & Jingang Lai & Yiwei Zhou & Chang Yu, 2020. "Phase Synchronization Stability of Non-Homogeneous Low-Voltage Distribution Networks with Large-Scale Distributed Generations," Energies, MDPI, vol. 13(5), pages 1-24, March.

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