Summary
We study the mechanical bouncing-ball system, which is a modification of the classical Fermi-Ulam problem. We calculate the basin structure and find that the basin boundaries are fractal curves. The observed multidimensionality is discussed in terms of the Smale-horseshoe dynamics generating the chaotic basic set.
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Isomäki, H.M. (1990). Fractal Properties of the Bouncing-Ball Dynamics. In: Schiehlen, W. (eds) Nonlinear Dynamics in Engineering Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83578-0_16
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DOI: https://doi.org/10.1007/978-3-642-83578-0_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83580-3
Online ISBN: 978-3-642-83578-0
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