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Self-organized network evolution coupled to extremal dynamics

Garlaschelli, Diego and Capocci, Andrea and Caldarelli, Guido Self-organized network evolution coupled to extremal dynamics. Nature Physics, 3 (11). pp. 813-817. ISSN 1745-2473 (2007)

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The 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.

Item Type: Article
Identification Number: 10.1038/nphys729
Uncontrolled Keywords: Statistical physics, thermodynamics and nonlinear dynamics
Subjects: H Social Sciences > HA Statistics
Q Science > QC Physics
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 01 Feb 2012 14:01
Last Modified: 08 Mar 2018 17:09
URI: http://eprints.imtlucca.it/id/eprint/1101

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