Synchronization was first reported by Christiaan Huygens in 1665 when he observed anti-phase synchronization achieved by two pendulum clocks hanging on a common base. Since then researchers have tried to understand the results reported by Huygens using their own ways to reproduce his experiment and applying several methods of analysis. Each researcher has reported different results, even compared with those reported by Huygens. In this paper a simple model is proposed to study in-phase and anti-phase synchronization of two metronomes based on a normal mode analysis using van der Pol oscillators. The instantaneous frequency of the responses from both simulations and experimental data is used in the analysis. Unlike previous studies, measurements are made using videos and the time domain responses of the metronomes extracted by means of tracking software. Plots showing how the initial conditions lead to both synchronization states are also presented.
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机译：1665年首次在1665年首次在1665年通过悬挂在公共底座上的两个摆锤实现的抗相同步时，首先由克里斯岛惠更报告。从那时起，研究人员试图了解Huygens报告的结果，使用他们自己的方法来重现他的实验并应用几种分析方法。每个研究人员都报告了不同的结果，甚至与Huygens报道的结果相比。本文提出了一种简单的模型，以基于使用VAN der POL振荡器的正常模式分析研究两个元族内部的相位和抗相同步。分析中使用了来自模拟和实验数据的响应的瞬时频率。与以前的研究不同，使用视频和通过跟踪软件提取的调度的时域响应进行测量。图表还介绍了如何呈现初始条件如何导致两个同步状态。
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