Period doubling boundaries of a bouncing ball

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 Etude, dans le regime de doublement de periode, d'un systeme mecanique simple forme d'une balle rebondissante soumise a des chocs repetes par une table vibrante