Goldschmidt Richard Janis, Pikovsky Arkady, Politi Antonio
Department of Physics and Astronomy, University of Potsdam, Potsdam 10623, Germany.
Institute of Pure and Applied Mathematics, University of Aberdeen, Aberdeen AB24 3FX, United Kingdom.
Chaos. 2019 Jul;29(7):071101. doi: 10.1063/1.5105367.
In globally coupled ensembles of identical oscillators so-called chimera states can be observed. The chimera state is a symmetry-broken regime, where a subset of oscillators forms a cluster, a synchronized population, while the rest of the system remains a collection of nonsynchronized, scattered units. We describe here a blinking chimera regime in an ensemble of seven globally coupled rotators (Kuramoto oscillators with inertia). It is characterized by a death-birth process, where a long-term stable cluster of four oscillators suddenly dissolves and is very quickly reborn with a new reshuffled configuration. We identify three different kinds of rare blinking events and give a quantitative characterization by applying stability analysis to the long-lived chaotic state and to the short-lived regular regimes that arise when the cluster dissolves.
在全局耦合的相同振子集合中，可以观察到所谓的奇异态。奇异态是一种对称性破缺状态，其中一部分振子形成一个簇，即一个同步群体，而系统的其余部分则是一组非同步的、分散的单元。我们在此描述了由七个全局耦合旋转器（具有惯性的Kuramoto振子）组成的集合中的闪烁奇异态。它的特征是一个生死过程，其中由四个振子组成的长期稳定簇突然解体，并很快以新的重新排列构型重生。我们识别出三种不同类型的罕见闪烁事件，并通过对长寿命混沌态以及簇解体时出现的短寿命规则态进行稳定性分析来给出定量表征。
