Modular synchronization in complex networks
Abstract
We study the sychronization transition (ST) of a modified Kuramoto model on two different types of modular complex networks, finding that the pattern of ST crucially depends on the type of inter-modular connections. When inter-modular connections are decentralized (centralized), the ST occurs sharply (smoothly). Such distinct features are found in the yeast protein interaction network and the Internet, respectively, and also in two different types of artificial networks. Moreover, we study the interplay of those patterns by diversifying inter-modular connections and monitoring the change of the largest value of the load, finding that the interplay is related to the crossover behavior of the load exponent.Keywords
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