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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, et al. Dynamical properties of model communication networks. Physical Review E. 2002. Vol. 66, num. 2, pags. 026704-1-026704-8. ISSN 1063-651X. [consulted: 25 of May of 2026]. Available at: https://hdl.handle.net/2445/18787