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Animated Double Pendulum

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Animated Double Pendulum

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09 Apr 2010 (Updated )

Show animation of the double pendulum's (mostly) chaotic behavior.

Editor's Notes:

This file was selected as MATLAB Central Pick of the Week

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Description

For animation, the program uses Matlab's normal plot command combined with the drawnow command. It is based on the ode45 solution of the corresponding differential equations.

Comprehensive documentation is provided, including a sketch of the most important steps of how to derive the equations of motion. A simple Mathematica notebook contains all of the manipulations.

 
Start the program via >> double_pendulum_init
 

You can adapt parameters such as rod lengths, masses and initial angular positions and velocities in the double_pendulum_init.m file.

It might be interesting to implement some features in future versions, such as angular time dependence plots, phase space portraits or Poincaré sections.

Have fun observing the rich dynamic behaviour of this simple, but mostly chaotic system :-)

Acknowledgements

This file inspired Simple Pendulum.

MATLAB release MATLAB 7.4 (R2007a)
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Comments and Ratings (5)
11 Mar 2014 Mauricio

wonderful!

11 Mar 2014 Mauricio  
30 Nov 2012 Dominika  
30 Nov 2012 Dominika  
07 Jul 2010 Michu Gura

10!

Updates
04 Oct 2010

Movies can now be written into .avi format. Frame rate is now changeable and can be adapted both for real time animation and movie rendering.

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