Equation-free multiscale computations in social networks: From agent-based modeling to coarse-grained stability and bifurcation analysis

A. C. Tsoumanis, C. I. Siettos, G. V. Bafas, I. G. Kevrekidis

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

We focus on the "trijunction" between multiscale computations, bifurcation theory and social networks. In particular, we address how the Equation-Free approach, a recently developed computational framework, can be exploited to systematically extract coarse-grained, emergent dynamical information by bridging detailed, agent-based models of social interactions on networks, with macroscopic, systems-level, continuum numerical analysis tools. For our illustrations, we use a simple dynamic agent-based model describing the propagation of information between individuals interacting under mimesis in a social network with private and public information. We describe the rules governing the evolution of the agents' emotional state dynamics and discover, through simulation, multiple stable stationary states as a function of the network topology. Using the Equation-Free approach we track the dependence of these stationary solutions on network parameters and quantify their stability in the form of coarse-grained bifurcation diagrams.

Original languageEnglish (US)
Pages (from-to)3673-3688
Number of pages16
JournalInternational Journal of Bifurcation and Chaos
Volume20
Issue number11
DOIs
StatePublished - Nov 2010

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

Keywords

  • Complex systems
  • bifurcation analysis
  • equation-free approach
  • multiscale computations
  • networks
  • nonlinear dynamics
  • social systems

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