LA ROCCA Cristian Ernesto
Synchronization in Scale Free networks with degree correlation
LA ROCCA, C. E.; BRAUNSTEIN, L. A.; MACRI, P. A.
PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS
ELSEVIER SCIENCE BV
Año: 2011 vol. 390 p. 2840 - 2840
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., Phys. Rev. E 76, 046117 (2007). Here, we study the effects of the degree-degree correlation on the behavior of the load fluctuations W_s in the steady state. We found that for assortative networks there exist a specific correlation where the system is optimal synchronized. In addition, we found that close to this optimally 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, W_s scales logarithmically with the system size.