  We investigate synchronization in the Kuramoto model with noise on a star
graph. By revising the case of a complete graph, we propose a closed form of
self-consistency equation for the conventional order parameter and generalize
it for a star graph. Using the obtained self-consistency equation, we
demonstrate that there is a crossover between the abrupt synchronization at
small noise and the continuous phase transition for quite large noise. We probe
this crossover numerically and analytically.
