University of Maryland, College Park, Maryland 20742, USA.
Chaos. 2011 Jun;21(2):025112. doi: 10.1063/1.3574931.
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.
在 Ott 和 Antonsen 最近的一篇论文中[Chaos 19, 023117 (2009)],对于振荡器频率的 Lorentzian 分布情况,已经表明,非常一般的大型耦合相振荡器系统的动力学时间渐近于 Ott 和 Antonsen [Chaos 18, 037113 (2008)]给出的特定简化形式。本文的评论将这一先前的结果扩展到了广泛的振荡器分布函数类。