Synchronization in Gradient Networks

dc.creatorWang, Xingang
dc.creatorLai, Ying-Cheng
dc.creatorLai, Choy Heng
dc.date2006-08-16
dc.date2007-01-11
dc.date.accessioned2026-07-07T07:39:51Z
dc.date.available2026-07-07T07:39:51Z
dc.descriptionThe contradiction between the fact that many empirical networks possess power-law degree distribution and the finding that network of heterogeneous degree distribution is difficult to synchronize has been a paradox in the study of network synchronization. Surprisingly, we find that this paradox can be well fixed when proper gradients are introduced to the network links, i.e. heterogeneity is in favor of synchronization in gradient networks. We analyze the statistical properties of gradient networks and explore their dependence to the other network parameters. Based on these understandings, we further propose a new scheme for network synchronization distinguished by using less network information while reaching stronger synchronizability, as supported by analytical estimates of eigenvalues and directed simulations of coupled chaotic oscillators. Our findings suggest that, with gradient, scale-free network is a natural choice for synchronization.
dc.description4 Figures
dc.identifierhttps://arxiv.org/abs/nlin/0608035
dc.identifierhttp://arxiv.org/abs/nlin/0608035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121607
dc.subjectChaotic Dynamics
dc.titleSynchronization in Gradient Networks
dc.typetext

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