Chaotic Motion of a Bouncing Ball on a Harmonically Forced Oscillator

frequency f

1.6

coefficient of restitution e

0.7

forcing amplitude A

0.04

This Demonstration shows the map of the movement of a ball bouncing on a harmonically forced oscillator, depending on the frequency, the forcing amplitude, and the coefficient of restitution. The coordinates of each point are given by the dimensionless velocity

V

of the ball after the collision and by the phase

φ

of the oscillator.