论文标题
二阶振荡器网络中的振荡状态，驻波和其他同步簇：发现惯性的作用
Oscillatory states, standing waves, and additional synchronized clusters in networks of second-order oscillators: uncovering the role of inertia
论文作者
论文摘要
我们讨论了二阶振荡器网络中振荡和驻波状态的出现，表明这是一种更通用机制的特殊情况，涉及惯性引起的次级同步簇。使用时间周期性的平均场Ansatz，我们找到了一种可固定点的可固定点和适当庞加莱地图的不变曲线。与不变曲线上旋转数相关的双重性和魔鬼的楼梯为次级同步簇的外观提供了解释。通过简化的模型分析了惯性在自组织过程中的影响。这表明，巨型同步簇对其他振荡器的影响被惯性削弱，从而导致在过渡过程中导致次级同步簇到同步。
We discuss the appearance of oscillatory and standing wave states in second-order oscillator networks showing that it is a special case of a more general mechanism involving secondary synchronized clusters induced by inertia. Using a time-periodic mean-field ansatz, we find a bistable mechanism involving a stable fixed point and an invariant curve of an appropriate Poincaré map. The bistability and the devil's staircase associated to the rotation number on the invariant curve provide an explanation for the appearance of the secondary synchronized clusters. The effect of inertias in the self-organization process is analyzed through a simplified model. This shows that the effect of giant synchronized clusters on the other oscillators is weakened by inertias, thus leading to secondary synchronized clusters during the transition process to synchronization.
