Synchronization transition in scale-free networks: Clusters of synchrony

dc.creatorLee, Deok-Sun
dc.date2004-10-25
dc.date2005-08-17
dc.date.accessioned2026-07-07T03:01:41Z
dc.date.available2026-07-07T03:01:41Z
dc.descriptionWe study the synchronization transition in scale-free networks that display power-law asymptotic behaviors in their degree distributions. The critical coupling strength and the order-parameter critical exponent derived by the mean field approach depend on the degree exponent $λ$, which implies a close connection between structural organization and the emergence of dynamical order in complex systems. We also derive the finite-size scaling behavior of the order parameter finding that the giant cluster of synchronized nodes is formed in different ways between scale-free networks with $2<λ<3$ and those with $λ>3$.
dc.description3 figures, final version
dc.identifierhttps://arxiv.org/abs/cond-mat/0410635
dc.identifierhttp://arxiv.org/abs/cond-mat/0410635
dc.identifierPhys. Rev. E 72, 026208 (2005)
dc.identifierdoi:10.1103/PhysRevE.72.026208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25135
dc.subjectStatistical Mechanics
dc.titleSynchronization transition in scale-free networks: Clusters of synchrony
dc.typetext

Files

Collections