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Fitness for synchronization of network motifs

Author

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  • Moreno Vega, Yamir
  • Vázquez-Prada, Miguel
  • F. Pacheco, Amalio

Abstract

We study the synchronization of Kuramoto's oscillators in small parts of networks known as motifs. We first report on the system dynamics for the case of a scale-free network and show the existence of a non-trivial critical point. We compute the probability that network motifs synchronize, and find that the fitness for synchronization correlates well with motif's interconnectedness and structural complexity. Possible implications for present debates about network evolution in biological and other systems are discussed.

Suggested Citation

  • Moreno Vega, Yamir & Vázquez-Prada, Miguel & F. Pacheco, Amalio, 2004. "Fitness for synchronization of network motifs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 279-287.
    • Handle: RePEc:eee:phsmap:v:343:y:2004:i:c:p:279-287
    DOI: 10.1016/j.physa.2004.05.033
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    Cited by:

    1. Wu, Jianshe & Wang, Xiaohua & Jiao, Licheng, 2012. "Synchronization on overlapping community network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 508-514.
    2. Wu, Jianshe & Lu, Rui & Jiao, Licheng & Liu, Fang & Yu, Xin & Wang, Da & Sun, Bo, 2013. "Phase transition model for community detection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1287-1301.
    3. Salehi, Mostafa & Rabiee, Hamid R. & Jalili, Mahdi, 2010. "Motif structure and cooperation in real-world complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(23), pages 5521-5529.

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