Chaotic Dynamics for Ball Bouncing between Two Constant Slopes
Perhaps the simplest situation of elastic collisions that exhibit chaotic motion is a ball bouncing between two constant slopes of opposite sign. Here the ball starts at position (green point), the slope is , and the bounces are traced ending at a blue point at time but with a maximum of 200 bounces (the count appears at the top of the graphic). The Poincaré map is shown in the above the graphic.
 T. Tél and M. Gruiz, Chaotic Dynamics: An Introduction Based on Classical Mechanics, Cambridge, UK: Cambridge University Press, 2006.
"Chaotic Dynamics for Ball Bouncing between Two Constant Slopes"
Wolfram Demonstrations Project
Published: September 4 2012