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Better Synchronizability Predicted by Crossed Double Cycle TeX Export

(16 Aug 2005)

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networks powerlaws small-world-networks sync

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In this letter, we propose a network model named crossed double cycles, which are completely symmetrical and can be considered as the extensions of nearest-neighbor coupling lattice. The synchronizability, measured by eigenratio $R$, can be sharply enhanced by adjusting the only parameter, crossed length. The numerical studies strongly suggest the average distance $L$ is an important factor affecting the network synchronizability, the smaller average distance will lead to better synchronizability. Further more, we find that the eigenratio $R$ approximately obeys a power-law form as $R∼ L^1.5$. This scaling behavior is also observed in the crossed small-world networks.


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