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27 April 2024

» arxiv » 1206.5859

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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 ;
Date:	26 Jun 2012
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 [1]: we implement our low-dimensional description computationally using the equation-free approach and show how it can be used to (a) accelerate simulations and (b) 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.
Source:	arXiv, 1206.5859
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