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Synchronization in scale free networks with degree correlation

Author

Listed:
  • La Rocca, C.E.
  • Braunstein, L.A.
  • Macri, P.A.

Abstract

In this paper we study a model of synchronization process on scale free networks with degree–degree correlations. This model was already studied on this kind of networks without correlations by Pastore y Piontti et al. [A.L. Pastore y Piontti, P.A. Macri, L.A. Braunstein, Phys. Rev. E 76 (2007) 046117]. Here, we study the effects of the degree–degree correlation on the behavior of the load fluctuations Ws in the steady state. We found that for assortative networks there exist a specific correlation where the system is optimally synchronized. In addition, we found that close to this optimal value the fluctuations does not depend on the system size and therefore the system becomes fully scalable. This result could be very important for some technological applications. On the other hand, far from the optimal correlation, Ws scales logarithmically with the system size.

Suggested Citation

  • La Rocca, C.E. & Braunstein, L.A. & Macri, P.A., 2011. "Synchronization in scale free networks with degree correlation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(15), pages 2840-2844.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:15:p:2840-2844
    DOI: 10.1016/j.physa.2011.03.013
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    Cited by:

    1. Liu, Xiang & Jiang, Tingting & Ma, Feicheng, 2013. "Collective dynamics in knowledge networks: Emerging trends analysis," Journal of Informetrics, Elsevier, vol. 7(2), pages 425-438.
    2. Wang, Jian-an & Ma, Xiaohui & Wen, Xinyu & Sun, Qianlai, 2016. "Pinning lag synchronization of drive–response complex networks via intermittent control with two different switched periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 278-287.

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