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Double Pendulum With Poincare Map Model Documents

This material has 3 associated documents. Select a document title to view a document's information.

Main Document

Double Pendulum 

written by Wolfgang Christian and Dan Hampton

The Double Pendulum model displays the motion of a two-part pendulum and its Poincare map. A double pendulum is a simple pendulum with another pendulum attached to its end and the state of this dynamical system is specified by two angles and two angular velocities.   Because there is no friction, the double pendulum is an example of a Hamiltonian system and energy is conserved.  This EJS model simplifies the system by using equal length arms and masses.  Clicking in the Poincare section sets the initial conditions of the rotor.  The user can examine and modify this simulation if EJS is installed by right-clicking within the plot and selecting "Open EJS Model" from the pop-up menu item.  

The Double Pendulum Model was developed as a final project in a sophomore-level Computational Physics course (Phy 200) using the Easy Java Simulations (EJS) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.  Double clicking the ejs_lagrangian_DoublePendulum.jar file will run the program if Java is installed.  EJS is a part of the Open Source Physics Project and is designed to make it easier to access, modify, and generate computer models. access, modify, and generate computer models.

Published August 20, 2009
Last Modified June 3, 2014

This file has previous versions.

Supplemental Documents

Poster Presentation 

Poster presentation at the 2009 Davidson College student research symposium.

Last Modified January 11, 2010

Source Code Documents

Double Pendulum source code 

The source code zip archive contains an XML representation of the Double Pendulum model.   Unzip this archive in your EJS workspace to compile and run this model using EJS.

Last Modified August 20, 2009

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