  We consider an Individual-Based Model for self-rotating particles interacting
through local alignment and investigate its macroscopic limit. This model
describes self-propelled particles moving in the plane and trying to
synchronize their rotation motion with their neighbors. It combines the
Kuramoto model of synchronization and the Vicsek model of swarm formation. We
study the mean-field kinetic and hydrodynamic limits of this system within two
different scalings. In the small angular velocity regime, the resulting model
is a slight modification of the 'Self-Organized Hydrodynamic' model which has
been previously introduced by the first author. In the large angular velocity
case, a new type of hydrodynamic model is obtained. A preliminary study of the
linearized stability is proposed.
