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arXiv 1907.06201nlin.CD
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在全局耦合旋转体中的闪烁嵌合体

Blinking chimeras in globally coupled rotators

Richard Janis Goldschmidt, Arkady Pikovsky, Antonio Politi

摘要:

在全同振子的全局耦合系综中,可以观察到所谓的嵌合态。嵌合体状态是一种分裂的状态,其中振荡器的子集形成一个集群,一个同步的种群,而系统的其余部分仍然是非同步的分散单元的集合。我们在这里描述了一个闪烁的嵌合体制度在七个全球耦合旋转(仓本振荡器惯性)的合奏。它的特点是一个死亡-出生过程,一个长期稳定的四个振荡器集群突然解散,并很快以一个新的重新洗牌的配置重生。我们确定了三种不同类型的罕见的闪烁事件,并通过应用稳定性分析的长期混沌状态和短期的定期制度时出现的集群溶解的定量表征。

英文摘要:

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 non-synchronized, 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 which arise when the cluster dissolves.

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