Period doubling boundaries of a bouncing ball
Journal de physiquePublished 1 January 1986Open access
Nicholas Tufillaro, T. Mello, Young-Bin Choi, A. M. Albano
Citations76
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Abstract
A simple mechanical system consisting of a bouncing ball subject to repeated impacts with a vibrating table is studied in the period doubling regime. Two control parameters (the table's forcing frequency and amplitude) are varied to discover the curves in parameter space that separate periodic orbits. Experimental results for the period doubling boundaries agree with calculations from a simple model.
Keywords
EngineeringPhysics and Astronomy
Applied mathematical sciencesNonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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