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- W2012805499 abstract "The study of network synchronization has attracted increasing attention recently. In this paper, we strictly define a class of networks, namely effective networks, which are synchronizable and orientable networks. We can prove that all the effective networks with the same size have the same spectra, and are of the best synchronizability according to the master stability analysis. However, it is found that the synchronization time for different effective networks can be quite different. Further analysis show that the key ingredient affecting the synchronization time is the maximal depth of an effective network: the larger depth results in a longer synchronization time. The secondary factor is the number of links. The more links connecting the nodes in the same layer (horizontal links) will lead to longer synchronization time, while the increasing number of links connecting nodes in neighboring layers (vertical links) will accelerate the synchronization. Our findings provide insights into the roles of horizontal and vertical links in synchronizing process, and suggest that the spectral analysis is helpful yet insufficient for the understanding of network synchronization." @default.
- W2012805499 created "2016-06-24" @default.
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- W2012805499 date "2010-04-14" @default.
- W2012805499 modified "2023-09-25" @default.
- W2012805499 title "Synchronization on effective networks" @default.
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- W2012805499 doi "https://doi.org/10.1088/1367-2630/12/4/043030" @default.
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