Synchronization in Scale Free networks with degree correlation

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 {\it et al.}, Phys. Rev. E {\bf 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.

11 pages, 6 figures

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Cited by in corpus (7)

• Analysis and perturbation of degree correlation in complex networks
• A general formulation of long-range degree correlations in complex networks
• Competition between surface relaxation and ballistic deposition models in scale free networks
• Synchronization in interacting Scale Free Networks
• Quantitative modeling of degree-degree correlation in complex networks
• Fluctuations of a surface relaxation model in interacting scale free networks
• Nonmonotonic percolation threshold in correlated networks and hypergraphs