Awaking and Sleeping a Complex Network

dc.creatorLopez-Ruiz, R.
dc.creatorMoreno, Y.
dc.creatorBoccaletti, S.
dc.creatorHwang, D. -U.
dc.creatorPacheco, A. F.
dc.date2004-06-23
dc.date.accessioned2026-07-07T05:35:46Z
dc.date.available2026-07-07T05:35:46Z
dc.descriptionA network with local dynamics of logistic type is considered. We implement a mean-field multiplicative coupling among first-neighbor nodes. When the coupling parameter is small the dynamics is dissipated and there is no activity: the network is {\it turned off}. For a critical value of the coupling a non-null stable synchronized state, which represents a {\it turned on} network, emerges. This global bifurcation is independent of the network topology. We characterize the bistability of the system by studying how to perform the transition, which now is topology dependent, from the active state to that with no activity, for the particular case of a scale free network. This could be a naive model for the {\it wakening} and {\it sleeping} of a brain-like system.
dc.description14 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/nlin/0406053
dc.identifierhttp://arxiv.org/abs/nlin/0406053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80764
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectDisordered Systems and Neural Networks
dc.subjectPattern Formation and Solitons
dc.subjectNeurons and Cognition
dc.titleAwaking and Sleeping a Complex Network
dc.typetext

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