Coarse-graining the dynamics of network evolution: The rise and fall of a networked society

Andreas C. Tsoumanis, Karthikeyan Rajendran, Constantinos I. Siettos, Ioannis G. Kevrekidis

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

We explore a systematic approach to studying the dynamics of evolving networks at a coarse-grained, system level. We emphasize the importance of finding good observables (network properties) in terms of which coarse-grained models can be developed. We illustrate our approach through a particular social network model: the 'rise and fall' of a networked society (Marsili M et al 2004 Proc. Natl Acad. Sci. USA 101 1439). We implement our low-dimensional description computationally using the equationfree approach and show how it can be used to (i) accelerate simulations and (ii) extract system-level stability/bifurcation information from the detailed dynamic model. We discuss other system-level tasks that can be enabled through such a computer-assisted coarse-graining approach.

Original languageEnglish (US)
Article number083037
JournalNew Journal of Physics
Volume14
DOIs
StatePublished - Aug 2012

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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