The charged bouncing ball: An experimental model for period-doubling bifurcation
Departamento de Electrónica y Electromagnetismo, Facultad de Física, Avda. Reina
Mercedes s/n. 41012 Sevilla, Spain
Accepted: 6 February 1997
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.
PACS: 47.65.+a – Magnetohydrodynamics and electrohydrodynamics / 47.52.+j – Chaos / 41.20.Cv – Electrostatics; Poisson and Laplace equations, boundary-value problems
© EDP Sciences, 1997