Self-organized network evolution coupled to extremal dynamics

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dc.creatorGarlaschelli, Diego
dc.creatorCapocci, Andrea
dc.creatorCaldarelli, Guido
dc.date2006-11-08
dc.date2008-06-10
dc.date.accessioned2026-07-07T09:44:15Z
dc.date.available2026-07-07T09:44:15Z
dc.descriptionThe interplay between topology and dynamics in complex networks is a fundamental but widely unexplored problem. Here, we study this phenomenon on a prototype model in which the network is shaped by a dynamical variable. We couple the dynamics of the Bak-Sneppen evolution model with the rules of the so-called fitness network model for establishing the topology of a network; each vertex is assigned a fitness, and the vertex with minimum fitness and its neighbours are updated in each iteration. At the same time, the links between the updated vertices and all other vertices are drawn anew with a fitness-dependent connection probability. We show analytically and numerically that the system self-organizes to a non-trivial state that differs from what is obtained when the two processes are decoupled. A power-law decay of dynamical and topological quantities above a threshold emerges spontaneously, as well as a feedback between different dynamical regimes and the underlying correlation and percolation properties of the network.
dc.descriptionAccepted version. Supplementary information at http://www.nature.com/nphys/journal/v3/n11/suppinfo/nphys729_S1.html
dc.identifierhttps://arxiv.org/abs/cond-mat/0611201
dc.identifierhttp://arxiv.org/abs/cond-mat/0611201
dc.identifierNature Physics 3, 813 - 817 (2007)
dc.identifierdoi:10.1038/nphys729
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162804
dc.subjectStatistical Mechanics
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectPhysics and Society
dc.titleSelf-organized network evolution coupled to extremal dynamics
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