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Phys Rev Lett. 2006 Apr 28;96(16):164102. Epub 2006 Apr 24.

Dynamical weights and enhanced synchronization in adaptive complex networks.

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Institute of Physics, University of Potsdam PF 601553, 14415 Potsdam, Germany.


Dynamical organization of connection weights is studied in scale-free networks of chaotic oscillators, where the coupling strength of a node from its neighbors develops adaptively according to the local synchronization property between the node and its neighbors. We find that when complete synchronization is achieved, the coupling strength becomes weighted and correlated with the topology due to a hierarchical transition to synchronization in heterogeneous networks. Importantly, such an adaptive process enhances significantly the synchronizability of the networks, which could have meaningful implications in the manipulation of dynamical networks.

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