Synchronization in weighted scale-free networks with degree–degree correlation. Sorrentino, F, Di Bernardo, M, Cuellar, G H., & Boccaletti, S Physica D: nonlinear phenomena, 224(1-2):123–129, Elsevier, 2006.
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We study synchronization phenomena in scale-free networks of asymmetrically coupled dynamical systems featuring degree–degree correlation in the topology of the connection wiring. We show that when the interaction is dominant from the high-degree to the low-degree (or from the low-degree to the high degree) nodes, synchronization is enhanced for assortative (or disassortative) degree–degree correlations.

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