具有外部介质耦合的Kuramoto模型
Kuramoto model with coupling through an external medium
摘要：
耦合振荡器的同步通常使用仓本模型来描述。在这里，我们研究了仓本模型的推广，其中振荡器通过外部介质相互通信。这个广义模型表现出有趣的新现象，如同步和不相干之间的双稳性和一个新的形式的同步，其中外部介质表现出小振幅振荡的定性。最后，我们讨论的关系模型的其他变化的仓本模型，包括仓本模型的双峰频率分布和千年桥问题。
英文摘要：
Synchronization of coupled oscillators is often described using the Kuramoto model. Here we study a generalization of the Kuramoto model where oscillators communicate with each other through an external medium. This generalized model exhibits interesting new phenomena such as bistability between synchronization and incoherence and a qualitatively new form of synchronization where the external medium exhibits small-amplitude oscillations. We conclude by discussing the relationship of the model to other variations of the Kuramoto model including the Kuramoto model with a bimodal frequency distribution and the Millennium Bridge problem.
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