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Double Pendulum With Poincare Map Model
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 created 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.

Please note that this resource requires at least version 1.5 of Java (JRE).
1 supplemental document is available
1 source code document is available
Subjects Levels Resource Types
General Physics
- Computational Physics
Modern Physics
- Chaos & Non-linear Dynamics
Oscillations & Waves
- Oscillations
= Pendula
- Upper Undergraduate
- Graduate/Professional
- Instructional Material
= Activity
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Professional/Practitioners
- Educators
- application/java
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Access Rights:
Free access
License:
This material is released under a GNU General Public License Version 3 license. Additional information is available.
Rights Holder:
Wolfgang Christian
Merlot:
pending
Keywords:
Easy Java Simulations, OSP, Open Source Physics, chaos, classical mechanics, map, modeling, non-linear dynamics
Record Cloner:
Metadata instance created August 20, 2009 by Wolfgang Christian
Record Updated:
June 3, 2014 by Andreu Glasmann
Last Update
when Cataloged:
August 20, 2009
Other Collections:

ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
W. Christian and D. Hampton, Computer Program DOUBLE PENDULUM WITH POINCARE MAP MODEL, Version 1.0 (2009), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9384&DocID=1289).
AJP/PRST-PER
W. Christian and D. Hampton, Computer Program DOUBLE PENDULUM WITH POINCARE MAP MODEL, Version 1.0 (2009), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9384&DocID=1289>.
APA Format
Christian, W., & Hampton, D. (2009). Double Pendulum With Poincare Map Model (Version 1.0) [Computer software]. Retrieved March 19, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9384&DocID=1289
Chicago Format
Christian, Wolfgang, and Dan Hampton. "Double Pendulum With Poincare Map Model." Version 1.0. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9384&DocID=1289 (accessed 19 March 2024).
MLA Format
Christian, Wolfgang, and Dan Hampton. Double Pendulum With Poincare Map Model. Vers. 1.0. Computer software. 2009. Java (JRE) 1.5. 19 Mar. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9384&DocID=1289>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian and Dan Hampton", Title = {Double Pendulum With Poincare Map Model}, Month = {August}, Year = {2009} }
Refer Export Format

%A Wolfgang Christian %A Dan Hampton %T Double Pendulum With Poincare Map Model %D August 20, 2009 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9384&DocID=1289 %O 1.0 %O application/java

EndNote Export Format

%0 Computer Program %A Christian, Wolfgang %A Hampton, Dan %D August 20, 2009 %T Double Pendulum With Poincare Map Model %7 1.0 %8 August 20, 2009 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9384&DocID=1289


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Citation Source Information

The AIP Style presented is based on information from the AIP Style Manual.

The APA Style presented is based on information from APA Style.org: Electronic References.

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Double Pendulum With Poincare Map Model:

Is Based On Easy Java Simulations Modeling and Authoring Tool

The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Double Pendulum.

relation by Wolfgang Christian
Covers the Same Topic As Double Pendulum Phase Space Model

Alternate double pendulum model.

relation by Wolfgang Christian

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