IFIMAR   20926
INSTITUTO DE INVESTIGACIONES FISICAS DE MAR DEL PLATA
Unidad Ejecutora - UE
artículos
Título:
Synchronization in Scale Free networks with degree correlation
Autor/es:
C. E. LA ROCCA; L. A. BRAUNSTEIN; P. A. MACRI
Revista:
PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2011 vol. 390 p. 2840 - 2840
ISSN:
0378-4371
Resumen:
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.
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