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On synchronous preference of complex dynamical networks

Author

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  • Fan, Jin
  • Li, Xiang
  • Fan Wang, Xiao

Abstract

The synchrony preferential mechanism in complex networks is investigated in a novel synchronization-preferential growing network model proposed. Compared with the BA scale-free model [A.L. Barabási, H. Jeong, R. Albert, Physica A 272 (1999) 173.] and the synchronization-optimal network model [J. Fan, X.F. Wang, Physica A 349 (2005) 443], the synchronization-preferential model is more robust against both random and specific removal of vertices although the former two models exhibit a stronger synchronizability. It is, therefore, concluded that the preferential attachment mechanism which originated from the BA model is one of the essentials to improve the synchronization robustness in complex network against both random failures and specific attacks.

Suggested Citation

  • Fan, Jin & Li, Xiang & Fan Wang, Xiao, 2005. "On synchronous preference of complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 657-666.
    • Handle: RePEc:eee:phsmap:v:355:y:2005:i:2:p:657-666
    DOI: 10.1016/j.physa.2005.03.049
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    Citations

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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. 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.
    5. Beck, Gary L. & Matache, Mihaela T., 2008. "Dynamical behavior and influence of stochastic noise on certain generalized Boolean networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4947-4958.
    6. 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.

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