# Chaotic Dynamics for Ball Bouncing between Two Constant Slopes

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.

(,)

x

0

y

0

m

t

f