This Demonstration shows the time evolution of a frictionless two-pendulum system. It is one of the simplest constructions that exhibit chaotic behavior.
THINGS TO TRY
The green and blue masses, lengths, and angles are denoted by
, respectively. The Lagrangian for the system works out to
. The equations of motion are worked out in .
Wolfram Demonstrations Project
Published: April 27, 2007
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
Forced Pendulums with Damping
Pen Falling Off a Finger
Motion of a Simple Pendulum with Damping
Forced Oscillator with Damping
Planar Three-Body Problem in Phase Space
Planar Three-Body Problem
Pendulum with Three Magnets
Chaotic Dynamics of a Magnetic Pendulum
Damped Swing Pendulum
Balázs Kiss (Budapest University of Technology and Economics)
Dynamical Systems Theory
Browse all topics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2017 Wolfram Demonstrations Project & Contributors |
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have