Kuramoto Model with Delay: The Role of the Frequency Distribution

The Kuramoto model is a classical used for the describing of synchronization in populations oscillatory units. In present paper we study with delay focus on distribution oscillators’ frequencies. We consider series rational distributions which allow us to reduce population dynamics set several differential equations. use bifurcation analysis these equations transition from asynchronous synchronous state. demonstrate that form frequency may play substantial role synchronization. particular, Lorentzian prevents synchronization, while other can facilitate