Micro to macro equation-free bifurcation analysis of neuronal random graphs: Symmetry breaking of majority rule dynamics

Spiliotis, K; Russo, L; Siettos, CI

dc.contributor.author	Spiliotis, K	en
dc.contributor.author	Russo, L	en
dc.contributor.author	Siettos, CI	en
dc.date.accessioned	2014-03-01T02:02:56Z
dc.date.available	2014-03-01T02:02:56Z
dc.date.issued	2011	en
dc.identifier.issn	19749791	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29329
dc.subject.other	Bifurcation analysis	en
dc.subject.other	Bifurcation diagram	en
dc.subject.other	Closed form	en
dc.subject.other	Coarse-grained	en
dc.subject.other	Connectivity distribution	en
dc.subject.other	Equation-Free	en
dc.subject.other	Macro scale	en
dc.subject.other	Macroscopic dynamics	en
dc.subject.other	Macroscopic model	en
dc.subject.other	Majority rule	en
dc.subject.other	Majority rule models	en
dc.subject.other	Neuronal model	en
dc.subject.other	Random graphs	en
dc.subject.other	Small worlds	en
dc.subject.other	Switching probability	en
dc.subject.other	Symmetry-breaking	en
dc.subject.other	Graph theory	en
dc.subject.other	Probability distributions	en
dc.subject.other	Stochastic models	en
dc.subject.other	Bifurcation (mathematics)	en
dc.title	Micro to macro equation-free bifurcation analysis of neuronal random graphs: Symmetry breaking of majority rule dynamics	en
heal.type	journalArticle	en
heal.identifier.primary	10.3303/CET1124059	en
heal.identifier.secondary	http://dx.doi.org/10.3303/CET1124059	en
heal.publicationDate	2011	en
heal.abstract	We address how the Equation-Free approach can be exploited to bridge in a computational rigorous way the micro to macro scales of the dynamics of stochastic individualistic neuronal models evolving on complex random graphs. In particular, we show how bifurcation analysis can be performed bypassing the need to extract macroscopic models in a closed form. The analysis targets on the majority rule model developing on Regular Random (RRN), Erdos-Renyi, and Watts-Strogatz (small-world) networks. We construct the coarse-grained bifurcation diagrams with respect to the switching probability and we show how the connectivity distribution may result to symmetry breaking of the underlying macroscopic dynamics. © 2011, AIDIC Servizi S.r.l.	en
heal.journalName	Chemical Engineering Transactions	en
dc.identifier.doi	10.3303/CET1124059	en
dc.identifier.volume	24	en
dc.identifier.spage	349	en
dc.identifier.epage	354	en