Maistrenko Yuri, Penkovsky Bogdan, Rosenblum Michael
Department of Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24/25, D-14476 Potsdam-Golm, Germany and Institute of Mathematics and National Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine, Kiev, Ukraine.
National University of "Kyiv-Mohyla Academy," Kiev, Ukraine and FEMTO-ST/Optics Department, University of Franche-Comté, 16 Route de Gray, 25030 Besançon Cedex, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jun;89(6):060901. doi: 10.1103/PhysRevE.89.060901. Epub 2014 Jun 9.
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.
我们讨论了具有吸引和排斥相互作用的全局耦合相同振子网络中的去同步转变。我们表明，如果吸引组和排斥组以反相或接近反相的方式作用，就会出现一种孤立状态，其中单个排斥振子与其他完全同步的振子分离。随着排斥强度的进一步增加，同步簇变得模糊，动力学由各种具有零公共强迫的稳态给出。有趣的是，孤立状态代表了相干性和非相干性之间的自然联系。对于具有正弦耦合的相位振子，该现象通过解析进行了描述，并针对更一般的振幅模型进行了数值演示。
