Scientific Results

Awaking and sleeping of a complex network

Year: 2007

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

Autors Affiliation: 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.

Journal/Review: NEURAL NETWORKS

Volume: 20 (1)      Pages from: 102  to: 108

KeyWords: omplex networks; neuronal models; brain-like systems; logistic coupling; bistability
DOI: 10.1016/j.neunet.2006.04.002

Citations: 7
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English