Collective dynamics in sparse networks

Stefano Luccioli, Simona Olmi, Antonio Politi, Alessandro Torcini

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37 Citations (Scopus)

Abstract

The microscopic and macroscopic dynamics of random networks is investigated in the strong-dilution limit (i.e., for sparse networks). By simulating chaotic maps, Stuart-Landau oscillators, and leaky integrate-and-fire neurons, we show that a finite connectivity (of the order of a few tens) is able to sustain a nontrivial collective dynamics even in the thermodynamic limit. Although the network structure implies a nonadditive dynamics, the microscopic evolution is extensive (i.e., the number of active degrees of freedom is proportional to the number of network elements).

Original languageEnglish
Article number138103
Number of pages5
JournalPhysical Review Letters
Volume109
Issue number13
DOIs
Publication statusPublished - 25 Sep 2012

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