  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.
