@article{38141,
  keywords = {Networks, systems, dynamics, Nonlinear dynamics, simulation, bifurcation analysis, complex networks, Complex systems, equation-free approach, financial-markets, graphs, language, multiscale computations, size, social systems, stock-market, traders},
  author = {Tsoumanis and Siettos and Bafas and Kevrekidis},
  title = {EQUATION-FREE MULTISCALE COMPUTATIONS IN SOCIAL NETWORKS: FROM AGENT-BASED MODELING TO COARSE-GRAINED STABILITY AND BIFURCATION ANALYSIS},
  abstract = { <p>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{\textquoteright} 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.</p> },
  year = {2010},
  journal = {International Journal of Bifurcation and Chaos},
  volume = {20},
  pages = {3673-3688},
  month = {11/2010},
  isbn = {0218-1274},
  language = {English},
}