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On synchronization in scale-free dynamical networks

Author

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  • Fan, Jin
  • Wang, Xiao Fan

Abstract

Recent advances in complex network research have stimulated increasing interests in understanding the relationship between the topology and dynamics of complex networks. In this work, we study the synchronizability of a class of continuous-time dynamical networks with scale-free topologies. Furthermore, we propose a synchronization-optimal growth topology model. We also investigate the robustness of the synchronizability of the scale-free dynamical networks with respect to random and specific removal of nodes.

Suggested Citation

  • Fan, Jin & Wang, Xiao Fan, 2005. "On synchronization in scale-free dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 443-451.
    • Handle: RePEc:eee:phsmap:v:349:y:2005:i:3:p:443-451
    DOI: 10.1016/j.physa.2004.09.016
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    References listed on IDEAS

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    1. Hanuschak, George & Mueller, Rick, 2002. "Cost and Benefit Analysis of a Cropland Data Layer," NASS Research Reports 234296, United States Department of Agriculture, National Agricultural Statistics Service.
    2. Amritkar, R.E. & Jalan, Sarika, 2003. "Self-organized and driven phase synchronization in coupled map networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(1), pages 220-225.
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    Cited by:

    1. Goodrich, Christopher S. & Matache, Mihaela T., 2007. "The stabilizing effect of noise on the dynamics of a Boolean network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 334-356.
    2. Liu, Xian & Wang, Jinzhi & Huang, Lin, 2007. "Stabilization of a class of dynamical complex networks based on decentralized control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 733-744.
    3. Liu, Xian & Wang, Jinzhi & Huang, Lin, 2007. "Global synchronization for a class of dynamical complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 543-556.
    4. Wu, Jianshe & Jiao, Licheng, 2007. "Observer-based synchronization in complex dynamical networks with nonsymmetric coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 469-480.
    5. Hannesson, Erik & Sellers, Jordan & Walker, Ethan & Webb, Benjamin, 2022. "Network specialization: A topological mechanism for the emergence of cluster synchronization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    6. Wu, Jianshe & Jiao, Licheng, 2008. "Synchronization in dynamic networks with nonsymmetrical time-delay coupling based on linear feedback controllers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2111-2119.

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