IFIMAR   20926
INSTITUTO DE INVESTIGACIONES FISICAS DE MAR DEL PLATA
Unidad Ejecutora - UE
artículos
Título:
Triple point in correlated interdependent networks
Autor/es:
LUCAS D. VALDEZ; PABLO A. MACRI; HARRY E. STANLEY; LIDIA A. BRAUNSTEIN
Revista:
PHYSICAL REVIEW E
Editorial:
AMER PHYSICAL SOC
Referencias:
Lugar: New York; Año: 2013 vol. 88 p. 50803 - 50803
ISSN:
1539-3755
Resumen:
Many real-world networks depend on other networks, often in nontrivial ways, to maintain their functionality. These interdependent ?networks of networks? are often extremely fragile. When a fraction 1−p of nodes in one network randomly fails, the damage propagates to nodes in networks that are interdependent and a dynamic failure cascade occurs that affects the entire system. We present dynamic equations for two interdependent networks that allow us to reproduce the failure cascade for an arbitrary pattern of interdependency. We study the ?rich club? effect found in many real interdependent network systems in which the high-degree nodes are extremely interdependent, correlating a fraction α of the higher-degree nodes on each network. We find a rich phase diagram in the plane p-α, with a triple point reminiscent of the triple point of liquids that separates a nonfunctional phase from two functional phases.
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