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

Tsoumanis, AC; Siettos, CI; Bafas, GV; Kevrekidis, IG

dc.contributor.author	Tsoumanis, AC	en
dc.contributor.author	Siettos, CI	en
dc.contributor.author	Bafas, GV	en
dc.contributor.author	Kevrekidis, IG	en
dc.date.accessioned	2014-03-01T01:33:22Z
dc.date.available	2014-03-01T01:33:22Z
dc.date.issued	2010	en
dc.identifier.issn	0218-1274	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20402
dc.subject	bifurcation analysis	en
dc.subject	Complex systems	en
dc.subject	equation-free approach	en
dc.subject	multiscale computations	en
dc.subject	networks	en
dc.subject	nonlinear dynamics	en
dc.subject	social systems	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Multidisciplinary Sciences	en
dc.subject.other	Bifurcation analysis	en
dc.subject.other	Complex systems	en
dc.subject.other	equation-free approach	en
dc.subject.other	Multiscale computation	en
dc.subject.other	networks	en
dc.subject.other	Non-linear dynamics	en
dc.subject.other	Social systems	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Computational methods	en
dc.subject.other	Dynamics	en
dc.subject.other	Electric network topology	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Social networking (online)	en
dc.subject.other	Computer simulation	en
dc.title	Equation-free multiscale computations in social networks: From agent-based modeling to coarse-grained stability and bifurcation analysis	en
heal.type	journalArticle	en
heal.identifier.primary	10.1142/S0218127410027945	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S0218127410027945	en
heal.language	English	en
heal.publicationDate	2010	en
heal.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. © 2010 World Scientific Publishing Company.	en
heal.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD	en
heal.journalName	International Journal of Bifurcation and Chaos	en
dc.identifier.doi	10.1142/S0218127410027945	en
dc.identifier.isi	ISI:000286430700014	en
dc.identifier.volume	20	en
dc.identifier.issue	11	en
dc.identifier.spage	3673	en
dc.identifier.epage	3688	en