In this paper, we propose a simple random network model with overlapping communities controlled by several parameters, and investigate the influence of the overlapping community structure on the synchronization behavior under different parameters. It is found that the synchronizability of the...

The effect of diversity on a system of coupled threshold elements is investigated, where each element is driven by a common periodic signal. Diversity is introduced to the system by assuming that the thresholds of all units are heterogeneous, e.g. the thresholds follow a Gaussian or other...