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Global synchronization of a class of delayed complex networks

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  • Li, Ping
  • Yi, Zhang
  • Zhang, Lei

Abstract

Global synchronization of a class of complex networks with time-varying delays is investigated in this paper. Some sufficient conditions are derived. These conditions show that the synchronization of delayed complex networks can be determined by their topologies. In addition, these conditions are simply represented in terms of the networks coupling matrix and are easy to be checked. A typical example of complex networks with chaotic nodes is employed to illustrate the obtained global synchronization results.

Suggested Citation

  • Li, Ping & Yi, Zhang & Zhang, Lei, 2006. "Global synchronization of a class of delayed complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 903-908.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:4:p:903-908
    DOI: 10.1016/j.chaos.2005.08.169
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    References listed on IDEAS

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    1. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    2. Masoller, Cristina & Zanette, nindexDamianDamia’an H., 2001. "Anticipated synchronization in coupled chaotic maps with delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(3), pages 359-366.
    3. Masoller, Cristina & Martı́, Arturo C & Zanette, Damián H, 2003. "Synchronization in an array of globally coupled maps with delayed interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 186-191.
    4. Lü, Jinhu & Yu, Xinghuo & Chen, Guanrong, 2004. "Chaos synchronization of general complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 281-302.
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    Cited by:

    1. Posadas-Castillo, C. & Cruz-Hernández, C. & López-Gutiérrez, R.M., 2009. "Experimental realization of synchronization in complex networks with Chua’s circuits like nodes," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1963-1975.
    2. Xia, Yongxiang & Liu, Nianjun & Iu, Herbert H.C., 2009. "Oscillation and chaos in a deterministic traffic network," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1700-1704.
    3. 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.
    4. Wu, Zhaoyan, 2015. "Synchronization of discrete dynamical networks with non-delayed and delayed coupling," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 57-62.
    5. 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.

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