标题： 具有耦合相位偏移无序的振荡器种群的动力学 显示英文标题

标题： Dynamics of oscillator populations with disorder in the coupling phase shifts

摘要： 我们研究由淬火无序相位偏移全部耦合的振荡器种群。 虽然没有传统的同步转变，即非零的Kuramoto序参数，但随着耦合强度的增加，系统表现出一种特定的秩序。 这种秩序的特点是部分相位锁定，这通过引入的相关序参数以及频率同步得到证实。 对相位振荡器、Stuart-Landau振荡器和混沌Roessler振荡器的模拟表明，相关序参数与耦合和系统大小的标度相似，并且在某些有限耦合下频率表现出相似的最大同步行为。 显示英文摘要

摘要： We study populations of oscillators, all-to-all coupled by means of quenched disordered phase shifts. While there is no traditional synchronization transition with a nonvanishing Kuramoto order parameter, the system demonstrates a specific order as the coupling strength increases. This order is characterized by partial phase locking, which is put into evidence by the introduced correlation order parameter and via frequency entrainment. Simulations with phase oscillators, Stuart-Landau oscillators, and chaotic Roessler oscillators demonstrate similar scaling of the correlation order parameter with the coupling and the system size and also similar behavior of the frequencies with maximal entrainment at some finite coupling.