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: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We explore a systematic approach to studying network evolutionary models at a coarse-grained, systems 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 on a particular social network model: the "rise and fall" of a networked society; we implement the low-dimensional description computationally using the equation-free approach.

Original languageEnglish (US)
Title of host publicationNumerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics
Pages42-45
Number of pages4
DOIs
StatePublished - Nov 28 2011
EventInternational Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 - Halkidiki, Greece
Duration: Sep 19 2011Sep 25 2011

Publication series

NameAIP Conference Proceedings
Volume1389
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherInternational Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011
CountryGreece
CityHalkidiki
Period9/19/119/25/11

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Keywords

  • coarse graining
  • equation-free
  • network evolution

Cite this

Tsoumanis, A. C., Rajendran, K., Siettos, C. I., & Kevrekidis, I. G. (2011). Coarse-graining the dynamics of network evolution: The rise and fall of a networked society. In Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics (pp. 42-45). (AIP Conference Proceedings; Vol. 1389). https://doi.org/10.1063/1.3636666