Synchronization in Scale Free networks with degree correlation

C. E. LA ROCCA; L. A. BRAUNSTEIN; P. A. MACRI

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2011 vol. 390 p. 2840 - 2844

0378-4371

In this paper we study a model for synchronization problems in scale free networks. This modelwas already studied in this kind of networks without degree correlation by Pastore y Piontti et al.,Phys. Rev. E 76, 046117 (2007). Here we study the effects of the degree degree correlation on thebehavior of the fluctuations in the steady state Ws in scale free networks. We found that thereexist an optimal correlation (assortative networks) where the system is optimal synchronized. Inaddition, we found that close to this optimal value the fluctuations does not depend on the systemsize and the system becomes scalable. This result could be very important for some technicalapplications. Moreover far from the optimal correlation Ws scales logarithmically with the systemsize. Thus for this model the system is optimal synchronized for an optimal assortative correlationthat also induces a scalability of the system.