Period doubling boundaries of a bouncing ball

N.B. Tufillaro , T.M. Mello , Y.M. Choi , A.M. Albano

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.

Mots clés: classical mechanics of discrete systems

Domaines: Articles anciens

N.B. Tufillaro, T.M. Mello, Y.M. Choi, A.M. Albano. Period doubling boundaries of a bouncing ball. Journal de Physique, 1986, 47 (9), pp.1477-1482. ⟨10.1051/jphys:019860047090147700⟩. ⟨jpa-00210343⟩