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      Collective stochastic coherence and synchronizability in weighted scale-free networks

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          Abstract

          Coupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since strongly synchronized elements behave identically and thus their response to noise is indistinguishable to that of a single element. Therefore one can expect systems that synchronize well to have a poor collective response to noise. Here we show that, in spite of this apparent conflict, a certain coupling architecture is able to reconcile the two properties. Specifically, our results reveal that weighted scale-free networks of diffusively coupled excitable elements exhibit both high synchronizability of their subthreshold dynamics and a good collective response to noise of their pulsed dynamics. This is established by comparing the behavior of this system to that of random, regular, and unweighted scale-free networks. We attribute the optimal response of weighted scale-free networks to the link homogeneity (with respect to node degree) provided by the weighting procedure, which balances the degree heterogeneity typical of SFNs.

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          Coherence resonance in small-world networks of excitable cells

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            Author and article information

            Journal
            2013-09-09
            2013-09-10
            Article
            10.1088/1367-2630/16/1/013036
            1309.2184
            47ee2720-ee76-4429-b2b1-f0f0d65b3092

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

            Custom metadata
            10 pages, 5 figures
            nlin.AO q-bio.NC

            Neurosciences,Nonlinear & Complex systems
            Neurosciences, Nonlinear & Complex systems

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