{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,2]],"date-time":"2025-12-02T03:25:54Z","timestamp":1764645954946},"reference-count":82,"publisher":"World Scientific Pub Co Pte Lt","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2010,11]]},"abstract":"<jats: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' 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. <\/jats:p>","DOI":"10.1142\/s0218127410027945","type":"journal-article","created":{"date-parts":[[2010,12,9]],"date-time":"2010-12-09T08:41:40Z","timestamp":1291884100000},"page":"3673-3688","source":"Crossref","is-referenced-by-count":12,"title":["EQUATION-FREE MULTISCALE COMPUTATIONS IN SOCIAL NETWORKS: FROM AGENT-BASED MODELING TO COARSE-GRAINED STABILITY AND BIFURCATION ANALYSIS"],"prefix":"10.1142","volume":"20","author":[{"given":"A. C.","family":"TSOUMANIS","sequence":"first","affiliation":[{"name":"School of Chemical Engineering, National Technical University of Athens, GR 157 80, Athens, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C. 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