理想流体中点涡和圆柱体的动力学

2020 International Conference Nonlinearity, Information and Robotics (NIR) Pub Date : 2020-12-03 DOI:10.1109/NIR50484.2020.9290156

I. Mamaev, I. Bizyaev

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引用次数: 0

摘要

本文研究了理想流体中圆翼和点涡的运动问题。本文对平衡翼和旋涡的运动进行了完整的定性分析。特别地，找到了周期解并研究了它们的稳定性。利用庞卡罗映射，证明了对于不平衡箔，简化系统表现出混沌轨迹。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Dynamics of point vortices and a cylinder in an ideal fluid

This paper addresses the problem of the motion of a circular foil and point vortices in an ideal fluid. A complete qualitative analysis of the motion of a balanced foil and one vortex is carried out. In particular, periodic solutions are found and their stability is investigated. Using a Poincaré map, it is shown that for an unbalanced foil a reduced system exhibits chaotic trajectories.

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2020 International Conference Nonlinearity, Information and Robotics (NIR)

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