Synchronization in scale free networks with degree correlation

C.E. La Rocca, L.A. Braunstein and P.A. Macri

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 15, 2840-2844

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.

Keywords: Synchronization; Complex networks; Degree–degree correlations (search for similar items in EconPapers)
Date: 2011
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:15:p:2840-2844

DOI: 10.1016/j.physa.2011.03.013

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