Synchronization Analysis of Coupled Oscillatory Network with Different Node Arrangement

This chapter studies the impacts of node arrangement on the frequency synchronization of coupled oscillatory network. We mainly focus on the oscillatory model with chain-like and tree-like topologies. Moreover, we address the numerical simulations on the role of node arrangement in the phenomenon of onset of frequency synchronization in power network modeled by second-order Kuramoto oscillators. It is revealed that coupling strategies play an important role in collective behavior of coupled oscillatory network. It is also discovered that the threshold of coupling strength for frequency synchronization may be different for different arrangements of the consumer and generator nodes. More specifically, the closer to each other the nodes which are more heterogeneous, the stronger the synchronizability of oscillatory network is. In particular, the closer to each other the nodes which are less heterogeneous, the weaker the synchrony ability of the coupled oscillatory network is.