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Chaotic dynamics and reversal statistics of the forced spherical pendulum: comparing the Miles equations with experiment

机译:强迫球摆的混沌动力学和逆向统计:将Miles方程与实验进行比较

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摘要

The forced spherical pendulum is of intrinsic interest to dynamicists as well as to geophysicists as a simple mechanical analogue of the polarity reversals of the Earth's magnetic field. The system displays chaotic dynamics involving irregular reversals of its direction of motion, both in terms of its angular momentum and of its direction of precession. Here, we analyse the difference between angular-momentum and precession reversals and compare the results of experimental work that has been performed on chaotic reversals in a laboratory pendulum with numerical simulations of the Miles equations that represent the pendulum dynamics; we find good agreement.
机译:强迫球摆是动力学家和地球物理学家固有的兴趣,因为它们是地球磁场极性反转的简单机械模拟。该系统显示混沌动力学,涉及其运动方向的不规则反转,无论是角动量还是进动方向。在这里,我们分析了角动量和进动反转之间的差异,并比较了在实验室摆中对混沌反转进行的实验工作的结果与代表摆动态的Miles方程的数值模拟。我们找到了很好的协议。

著录项

  • 来源
    《Dynamical Systems》 |2010年第1期|1-16|共16页
  • 作者单位

    Instituto Andaluz de Ciencias de la Tierra, CSIC - Universidad de Granada, E-18071 Granada, Spain;

    Late of the late School of Physics, University of Newcastle upon Tyne, Newcastle upon Tyne NE1 7RU, UK;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    spherical pendulum; chaos; Miles equations;

    机译:球形摆;混沌;迈尔斯方程;
  • 入库时间 2022-08-17 13:08:38

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