Hi, im trying to develop a model of the bouncing ball on a vibrating platform on mathematica. Im just wondering if was trying to plot x (balls position) versus t, to exhibit period doubling and other chaotic motions, what ode could i use for the position of the ball over time in conjunction with effects from the vibrating platform? I will also need the equation for Auto (software for bifurcation) to be able to detect period doubling bifurcation. Any help or tips would be greatly appreciated.Thanks.