Completely inelastic ball.
This Rapid Communication presents an analytical study of the bouncing of a completely inelastic ball on a vertically vibrated plate. The interplay of saddle-node and period-doubling bifurcations leads to an intricate structure of the bifurcation diagram with uncommon properties, such as an infinity of bifurcation cascades in a finite range of the control parameter Gamma. A pseudochaotic behavior, consisting in arbitrarily long and complex periodic sequences, is observed through this generic system.
Gilet
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Department of Physics B5a, GRASP, University of Liège, B-4000 Liège, Belgium. tristan.gilet@ulg.ac.be
Vandewalle
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Dorbolo
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