A Modified Modular Ring Network and Its Synchronizability

In this paper, a modified modular ring network model is proposed and discussed. The theoretical analysis indicates that, it is most effective for building a modular ring dynamical network with shorter characteristic path length via adding shortcuts randomly. Step forward, the synchronizability of this type of ring modular network are compared. Synchronizability of modular ring networks consist of different kinds of modules with different interior connection density, different inner module connection density are discussed in detail. Numerical experiments further show that, the synchronizability is influenced heavily by the inter module connection density, and little affected by the inner module density of connections.