Affiliation:
1. Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany
Abstract
One of the prime paradigms for complex temporal dynamics, the motion of an inelastic ball bouncing on a sinusoidally oscillating table, is revisited. Using extensive numerical simulations, we address the not yet conclusively settled problem of the occurrence of chaos in the partially elastic case. We systematically investigate the spectrum of long-time solutions as function of the initial conditions and system parameters. Subsequently, we generalize the bouncing ball system by taking the velocity dependence of the coefficient of restitution into account and exemplarily demonstrate the drastic impact of such a generalization on the overall dynamics.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)
Cited by
26 articles.
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