论文标题
耦合二阶库拉莫托 - 苏古奇振荡器的同步
Synchronization of coupled second-order Kuramoto-Sakaguchi oscillators
论文作者
论文摘要
我们研究振荡器与惯性和相移的同步，即二阶库拉莫托 - 萨古奇模型。使用自洽的方法，我们发现惯性的效果是引入有效的相移。当惯性值较小时，库拉莫托 - 萨古奇模型的不连续同步转变会变为连续的。此外，我们发现了一个新的同步过程，其中随着耦合强度的提高，由于相移和惯性，系统可以达到振荡状态，而不是完全同步，而不是完全同步。通过数值模拟，还为复杂网络中的振荡器（包括无标度，小世界和随机网络）发现了相同类型的同步过程。
We study the synchronization of oscillators with inertias and phase shifts, namely the second-order Kuramoto-Sakaguchi model. Using the self-consistent method, we find that the effect of inertia is the introduction of effective phase shifts. The discontinuous synchronization transition of the Kuramoto-Sakaguchi model changes to a continuous one when the value of inertia is small. In addition, we find a new synchronization process, in which with increasing coupling strength the system reaches an oscillating state instead of complete synchronization due to the cross-effect of phase shifts and inertias. Through numerical simulations, the same type of synchronization process is also found for oscillators in complex networks, including scale-free, small-world and random networks.
