Showing papers by "Scuola superiore di Catania published in 2004"
TL;DR: This work represents communication/transportation systems as networks and studies their ability to resist failures simulated as the breakdown of a group of nodes of the network chosen at random (chosen accordingly to degree or load).
Abstract: Communication/transportation systems are often subjected to failures and attacks. Here we represent such systems as networks and we study their ability to resist failures (attacks) simulated as the breakdown of a group of nodes of the network chosen at random (chosen accordingly to degree or load). We consider and compare the results for two different network topologies: the Erdos–Renyi random graph and the Barabasi–Albert scale-free network. We also discuss briefly a dynamical model recently proposed to take into account the dynamical redistribution of loads after the initial damage of a single node of the network.
2,352 citations
TL;DR: It is shown that the breakdown of a single node is sufficient to collapse the efficiency of the entire system if the node is among the ones with largest load.
Abstract: Large but rare cascades triggered by small initial shocks are present in most of the infrastructure networks. Here we present a simple model for cascading failures based on the dynamical redistribution of the flow on the network. We show that the breakdown of a single node is sufficient to collapse the efficiency of the entire system if the node is among the ones with largest load. This is particularly important for real-world networks with a highly hetereogeneous distribution of loads as the Internet and electrical power grids.
1,071 citations
TL;DR: This work analyzes the structural vulnerability of the Italian GRTN power grid by using a model for cascading failures recently proposed in Crucitti et al. (2004).
Abstract: Large-scale blackouts are an intrinsic drawback of electric power transmission grids. Here we analyze the structural vulnerability of the Italian GRTN power grid by using a model for cascading failures recently proposed in Crucitti et al. (Phys. Rev. E 69 (2004)).
482 citations
TL;DR: In this article, the generalization of the Gross-Neveu model for noncommutative 3+1 space-time has been analyzed and the chiral symmetry breaking occurs for an inhomogeneous background as in the LOFF phase in condensed matter.
Abstract: The generalization of the Gross-Neveu model for noncommutative 3+1 space-time has been analyzed. We find indications that the chiral symmetry breaking occurs for an inhomogeneous background as in the LOFF phase in condensed matter.
4 citations