Awaking and sleeping of a complex network

Anno: 2007

Autori: Lopez-Ruiz R., Moreno Y., Pacheco A.F., Boccaletti S., Hwang D.U.

Affiliazione autori: Univ Zaragoza, Fac Sci, Dept Comp Sci, E-50009 Zaragoza, Spain; Univ Zaragoza, Fac Sci, BIFI, E-50009 Zaragoza, Spain; Univ Zaragoza, Fac Sci, Dept Theoret Phys, E-50009 Zaragoza, Spain; Ist Nazl Ott Applicata, I-50125 Florence, Italy

Abstract: A network with a logistic-like local dynamics 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 turned off. For a critical value of the coupling, a non-null stable synchronized state, which represents a 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 is now 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 wakening and sleeping of a brain-like system, i.e., a multi-component system with two different dynamical behaviors. (c) 2006 Elsevier Ltd. All rights reserved.

Giornale/Rivista: NEURAL NETWORKS

Volume: 20 (1)      Da Pagina: 102  A: 108

Maggiori informazioni: Y.M. is supported by MEC through the Ramón y Cajal Program. This work has been partially supported by the Spanish DGICYT Projects FIS2004-05073-C04-01, FIS2005-00337 and FIS2005-06237. We acknowledge the date 23-June-2004 stamped in the preprint of this paper archived in Arxiv.
Parole chiavi: complex networks; neuronal models; brain-like systems; logistic coupling; bistability
DOI: 10.1016/j.neunet.2006.04.002

Citazioni: 7
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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