Equation-Free Multiscale Computations in Social Networks: from Agent-based Modelling to Coarse-grained Stability and Bifurcation Analysis

摘要: We focus at the interface between multiscale computations, bifurcation theory and social networks. In particular we address how 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 interactions on networks, with macroscopic, systems-level, continuum numerical analysis tools. For our illustrations use simple dynamic model describing propagation individuals interacting under mimesis in network private public information. describe rules governing evolution agents emotional state dynamics discover, through simulation, multiple stable stationary states as function topology. Using approach track dependence these solutions parameters quantify their stability form coarse-grained diagrams.