  This work considers an extension of the Kuramoto model with run-and-tumble
dynamics -- a type of self-propelled motion. The difference between the
extended and the original model is that in the extended version angular
velocity of individual particles is no longer fixed but can change sporadically
with a new velocity drawn from a distribution g(w). Because the Kuramoto model
undergoes a phase transition, it offers a simple case study for investigating
phase transition for a system with self-propelled particles.
