Over the past decade the study of fluidic droplets bouncing and skipping (or “walking”) on a vibrating fluid bath has gone from an interesting experiment to a vibrant research field. The field exhibits challenging fluids problems, potential connections with quantum mechanics, and complex nonlinear dynamics. We detail advancements in the field of walking droplets through the lens of Dynamical Systems Theory, and outline questions that can be answered using dynamical systems analysis. The paper begins by discussing the history of the fluidic experiments and their resemblance to quantum experiments. With this physics backdrop, we paint a portrait of the complex nonlinear dynamics present in physical models of various walking droplet systems. Naturally, these investigations lead to even more questions, and some unsolved problems that are bound to benefit from rigorous Dynamical Systems Analysis are outlined.

中文翻译：

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通过动力系统的镜头行走液滴

在过去的十年中，流体液滴在振动液浴中弹跳和跳跃（或“行走”）的研究已经从一个有趣的实验变成了一个充满活力的研究领域。该领域展示了具有挑战性的流体问题、与量子力学的潜在联系以及复杂的非线性动力学。我们通过动态系统理论的视角详细介绍了行走液滴领域的进展，并概述了可以使用动态系统分析来回答的问题。本文首先讨论了流体实验的历史及其与量子实验的相似之处。在这个物理背景下，我们描绘了各种行走液滴系统的物理模型中存在的复杂非线性动力学。自然，这些调查会引出更多问题，