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|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. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.|
|Citation:||Tsoumanis, AC, Rajendran, K, Siettos, CI, Kevrekidis, IG. (2012). Coarse-graining the dynamics of network evolution: The rise and fall of a networked society. New Journal of Physics, 14, doi:10.1088/1367-2630/14/8/083037|
|Pages:||1 - 18|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||New Journal of Physics|
|Version:||Final published version. This is an open access article.|
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