Chaotic Dynamics of a Bouncing Ball in a Sinusoidal Channel

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

A ball falls from the position at (green point) onto a sinusoidal channel of height and bounces in the channel (seen in cross section). The ball's trajectory is traced in red and ends at a blue point at time , with a maximum of 200 bounces; the number of bounces is shown at the top of the graphic. In general, chaotic behavior is observed, as can be seen in the Poincaré map, the top part of the graphic.

Contributed by: Enrique Zeleny (August 2012)
Open content licensed under CC BY-NC-SA


Snapshots


Details

Poincaré map

chaos



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send