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  • Title: Onset of synchronization in complex gradient networks.
    Author: Wang X, Huang L, Guan S, Lai YC, Lai CH.
    Journal: Chaos; 2008 Sep; 18(3):037117. PubMed ID: 19045491.
    Abstract:
    Recently, it has been found that the synchronizability of a scale-free network can be enhanced by introducing some proper gradient in the coupling. This result has been obtained by using eigenvalue-spectrum analysis under the assumption of identical node dynamics. Here we obtain an analytic formula for the onset of synchronization by incorporating the Kuramoto model on gradient scale-free networks. Our result provides quantitative support for the enhancement of synchronization in such networks, further justifying their ubiquity in natural and in technological systems.
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