Density of instantaneous frequencies in the Kuramoto–Sakaguchi model

We obtain a formula for the statistical distribution of instantaneous frequencies in Kuramoto-Sakaguchi model. This work is based on Kuramoto-Sakaguchi's theory globally coupled phase oscillators, which we review full detail by discussing its assumptions and showing all steps behind derivation main results. Our stationary probability density function with complex mathematical structure, consistent numerical simulations gives description collective states