Synchronization of a Kuramoto type model in a dynamic network

In this paper, we study the synchronization behavior of identical Kuramoto oscillators in a dynamic network. Our model is a variant of the classical Kuramoto model. Using the spectral gap of a connected stochastic matrix, we present a sufficient framework for synchronization in terms of initial data and model parameters. Moreover, we show that the system achieves a synchronous state at an exponential rate.