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Abstract
The paper studies the properties of a sinusoidally vibrating wedge billiard as a model for 2D impact juggling. It is shown that some periodic orbits that are unstable in the elastic fixed wedge become exponentially stable in the (non-)elastic vibrating wedge. These orbits are linked with some classical juggling patterns, providing an interesting benchmark for the study of the frequency-locking properties in human rhythmic tasks.
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Ronsse, R., Lefèvre, P., & Sepulchre, R. (2004). Open-loop stabilization of 2D impact juggling. https://hdl.handle.net/2078.5/239232