@article{38041,
  keywords = {systems, slow manifold, stability, equation-free, computer-aided analysis, diffusion maps, topology},
  author = {Andreas Tsoumanis and Karthikeyan Rajendran and Constantinos Siettos and Ioannis Kevrekidis},
  title = {Coarse-graining the dynamics of network evolution: the rise and fall of a networked society},
  abstract = { <p>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 {\textquoteright}rise and fall{\textquoteright} 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 equation-free 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.</p> },
  year = {2012},
  journal = {New Journal of Physics},
  volume = {14},
  pages = {083037},
  month = {08/2012},
  isbn = {1367-2630},
  language = {English},
}