具有吸引和排斥作用的系综中处于同步边缘的孤立态
Solitary state at the edge of synchrony in ensembles with attractive and repulsive interaction
摘要：
讨论了具有吸引和排斥相互作用的全局耦合全同振子网络中的去奇异化跃迁。我们表明，如果吸引和排斥的群体反相或接近，出现一个孤立的状态与一个单一的排斥振子分裂从其他完全同步。随着排斥强度的进一步增加，同步团簇变得模糊，动力学由各种具有零公共强迫的定态给出。有趣的是，孤立状态代表了连贯性和非连贯性之间的自然联系。这一现象的正弦耦合相位振荡器的解析描述和更一般的振幅模型的数值演示。
英文摘要：
We discuss the desynchronization transition in networks of globally coupled identical oscillators with attractive and repulsive interactions. We show that, if attractive and repulsive groups act in antiphase or close to that, a solitary state emerges with a single repulsive oscillator split up from the others fully synchronized. With further increase of the repulsing strength, the synchronized cluster becomes fuzzy and the dynamics is given by a variety of stationary states with zero common forcing. Intriguingly, solitary states represent the natural link between coherence and incoherence. The phenomenon is described analytically for phase oscillators with sine coupling and demonstrated numerically for more general amplitude models.
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