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• W2890759872 abstract "We present an investigation of a partially elastic ball bouncing on a vertically vibrated sinusoidal surface. Following the work of McBennett and Harris [Chaos 26, 093105 (2016)], we begin by demonstrating that simple periodic vertical bouncing at a local minimum of the surface becomes unstable when the local curvature exceeds a critical value. The resulting instability gives rise to a period doubling cascade and results in persistent horizontal motion of the ball. Following this transition to horizontal motion, periodic walking states-where the ball bounces one wavelength over each vibration cycle-are possible and manifest for a range of parameters. Furthermore, we show that net horizontal motion in a preferred direction can be induced by breaking the left-right symmetry of the periodic topography." @default.
• W2890759872 created "2018-09-27" @default.
• W2890759872 creator A5020186460 @default.
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• W2890759872 date "2018-09-01" @default.
• W2890759872 modified "2023-10-03" @default.
• W2890759872 title "Bouncing ball on a vibrating periodic surface" @default.
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• W2890759872 doi "https://doi.org/10.1063/1.5023397" @default.
• W2890759872 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/30278644" @default.
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