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 make 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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Research Article| September 12 2018
Standard map-like models for single and multiple walkers in an annular cavity
Special Collection: Hydrodynamic Quantum Analogs
Aminur Rahman; Standard map-like models for single and multiple walkers in an annular cavity. Chaos 1 September 2018; 28 (9): 096102. https://doi.org/10.1063/1.5033949
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