混沌扭摆的微妙动力学:实验与数值模拟的详细比较

Guijin Xie, Zixiang Yan, Jian Gao, Hujiang Yang, Yueheng Lan, Jinghua Xiao
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引用次数: 0

摘要

我们对混沌扭摆(CTP)的微妙动力学进行了详细的实验和数值研究。我们首先介绍了学生们报告的实验观察结果,然后根据力学定律和对实验的见解提出了 CTP 的修正模型,以理解这些观察结果。我们利用实验数据对修订模型的参数进行了拟合。修订后的模型与实验观测结果十分吻合。通过这项研究,从参数敏感性到双稳态和噪声的影响,这些现象中隐藏的微妙动态都得到了充分展示,希望能为 CTP 的非线性本质提供更多启示。
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Subtle dynamics of chaotic torsion pendulum: a detailed comparison between experiments and numerical simulations
We conduct a detailed experimental and numerical study on the subtle dynamics of chaotic torsion pendulum (CTP). We first present experimental observations reported by students, and then propose a revised model of CTP based on laws of mechanics and insights about the experiment to understand these observations. Parameters of the revised model are fit using experimental data. The revised model agrees well with experimental observations. The subtle dynamics hidden in these phenomena, from parameter sensibility to influences of bistability and noise, are thoroughly exhibited through this study, hoping to provide more insights to the nonlinear nature of CTP.
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