论文标题

社交型网络上的嵌合体

Chimeras on a social-type network

论文作者

Pikovsky, Arkady

论文摘要

我们考虑一个耦合相振荡器的社会类型网络。这样的网络由相互作用元素的活跃核心和一群被动单元组成,这些单元遵循从主动元素驱动的驱动器,但否则没有相互作用。我们考虑具有远距离耦合的环几何形状,其中主动振荡器形成波动的嵌合体模式。我们表明,被动元素密切相关。这是由负横向Lyapunov指数解释的。

We consider a social-type network of coupled phase oscillators. Such a network consists of an active core of mutually interacting elements, and of a flock of passive units, which follow the driving from the active elements, but otherwise are not interacting. We consider a ring geometry with a long-range coupling, where active oscillators form a fluctuating chimera pattern. We show that the passive elements are strongly correlated. This is explained by negative transversal Lyapunov exponents.

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