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The charged bouncing ball: An experimental model for period-doubling bifurcation

 

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Author: Soria del Hoyo, Carlos
Ramos Reyes, Antonio
Pérez Izquierdo, Alberto Tomás
Department: Universidad de Sevilla. Departamento de Electrónica y Electromagnetismo
Date: 1997-03-10
Published in: Europhysics Letters, 37 (8), 541-546.
Document type: Article
Abstract: This paper presents an experimental and theoretical study of the dynamics of a conducting ball in a poorly conducting liquid subjected to an electric field. When the applied voltage is constant the ball bounces regularly on the lower electrode. If an AC voltage is superimposed, with a period equal to the unperturbed time between impacts, the ball undergoes a period-doubling bifurcation when increasing the amplitude of the AC signal. The non-linear map which describes the dynamics of the ball is closely related to the standard map and to the classical problem of a bouncing ball on a moving table.
Cite: Soria del Hoyo, C., Ramos Reyes, A. y Pérez Izquierdo, A.T. (1997). The charged bouncing ball: An experimental model for period-doubling bifurcation. Europhysics Letters, 37 (8), 541-546.
Size: 346.3Kb
Format: PDF

URI: http://hdl.handle.net/11441/62642

DOI: 10.1209/epl/i1997-00188-3

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