环形空腔中单个和多个步行者的标准地图模型
Standard map-like models for single and multiple walkers in an annular cavity
摘要：
最近的实验表明，液滴在环形腔中的行走存在着复杂的动力学，包括混沌变化的速度。本文介绍了模型，踢旋转器/标准地图的影响，为单个和多个液滴。该模型实现了定性和定量的协议与实验，并作出预测迄今未观察到的行为。利用动力系统技术和分岔理论，单液滴模型进行了分析，以证明动力学建议的数值模拟。
英文摘要：
Recent experiments on walking droplets in an annular cavity showed the existence of complex dynamics including chaotically changing velocity. This article presents models, influenced by the kicked rotator/standard map, for both single and multiple droplets. The models are shown to achieve both qualitative and quantitative agreement with the experiments, and makes predictions about heretofore unobserved behavior. Using dynamical systems techniques and bifurcation theory, the single droplet model is analyzed to prove dynamics suggested by the numerical simulations.
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