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




[1] T. Tél and M. Gruiz, Chaotic Dynamics: An Introduction Based on Classical Mechanics, Cambridge, UK: Cambridge University Press, 2006.

Poincaré map


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