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Dynamical properties of model communication networks

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We study the dynamical properties of a collection of models for communication processes, characterized by a single parameter $\xi$ representing the relation between information load of the nodes and its ability to deliver this information. The critical transition to congestion reported so far occurs only for $\xi=1$. This case is well analyzed for different network topologies. We focus of the properties of the order parameter, the susceptibility and the time correlations when approaching the critical point. For $\xi<1$ no transition to congestion is observed but it remains a cross-over from a low-density to a high-density state. For $\xi>1$ the transition to congestion is discontinuous and congestion nuclei arise.

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GUIMERÀ MANRIQUE, Roger, ARENAS, Àlex, DÍAZ GUILERA, Albert, GIRALT, Francesc. Dynamical properties of model communication networks. _Physical Review E_. 2002. Vol. 66, núm. 2, pàgs. 026704-1-026704-8. [consulta: 23 de gener de 2026]. ISSN: 1063-651X. [Disponible a: https://hdl.handle.net/2445/18787]

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