Comment on "Long time evolution of phase oscillator systems" [Chaos 19, 023117 (2009)

In a recent paper by Ott and Antonsen Chaos 19, 023117 (2009)], it was shown for the case of Lorentzian distributions of oscillator frequencies that the dynamics of a very general class of large systems of coupled phase oscillators time-asymptotes to a particular simplified form given by Ott and Antonsen Chaos 18, 037113 (2008)]. This comment extends this previous result to a broad class of oscillator distribution functions.