Wolfram Demonstrations Project

12,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

Chaos in a Rotating Pendulum

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

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

A pendulum of mass and length is attached to a rod of length , with constant angular velocity around the axis, with a damping coefficient and a driving force amplitude . The initial angle between the axis and the pendulum is with velocity . Plots of the system and its corresponding phase space are shown.

Contributed by: Enrique Zeleny (August 2011)
Open content licensed under CC BY-NC-SA

Snapshots

Details

The equation of motion is

,

where is the acceleration due to gravity.

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
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