Chaotic Dynamics for Ball Bouncing between Two Constant Slopes

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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.
Contributed by: Enrique Zeleny (September 2012)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Reference
[1] T. Tél and M. Gruiz, Chaotic Dynamics: An Introduction Based on Classical Mechanics, Cambridge, UK: Cambridge University Press, 2006.
Poincaré map
chaos
Permanent Citation
"Chaotic Dynamics for Ball Bouncing between Two Constant Slopes"
http://demonstrations.wolfram.com/ChaoticDynamicsForBallBouncingBetweenTwoConstantSlopes/
Wolfram Demonstrations Project
Published: September 4 2012