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written by Wolfgang Christian
The butterfly-like Lorenz attractor is a simplified model of two-dimensional convective fluid flow and is one of the best known images of chaos. Embedded in this attractor are unstable periodic orbits described by Viswanath and this model computes a number of these orbits.  Each periodic orbit is classified by the number of times the trajectory orbits the A and B fixed points before it repeats.  Note that because the attractor is chaotic and because of numerical errors and the finite precision of the initial conditions, errors accumulate and the trajectory leaves the vicinity of a periodic orbit after a half dozen cycles.

The Lorenz Attractor Periodic Orbits 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_chaos_LorenzAttractor.jar file will run the program if Java is installed.

Please note that this resource requires at least version 1.5 of Java.
View the source code document attached to this resource
Subjects Levels Resource Types
General Physics
- Computational Physics
Modern Physics
- Chaos & Non-linear Dynamics
Other Sciences
- Mathematics
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
= Interactive Simulation
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- Learners
- 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
Record Cloner:
Metadata instance created May 20, 2009 by Wolfgang Christian
Record Updated:
July 15, 2013 by Matt Mohorn
Last Update
when Cataloged:
December 16, 2008
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Record Link
AIP Format
W. Christian, Computer Program LORENZ ATTRACTOR PERIODIC ORBITS, Version 1.0 (2009), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8986&DocID=1202).
AJP/PRST-PER
W. Christian, Computer Program LORENZ ATTRACTOR PERIODIC ORBITS, Version 1.0 (2009), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8986&DocID=1202>.
APA Format
Christian, W. (2009). Lorenz Attractor Periodic Orbits (Version 1.0) [Computer software]. Retrieved April 24, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8986&DocID=1202
Chicago Format
Christian, Wolfgang. "Lorenz Attractor Periodic Orbits." Version 1.0. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8986&DocID=1202 (accessed 24 April 2014).
MLA Format
Christian, Wolfgang. Lorenz Attractor Periodic Orbits. Vers. 1.0. Computer software. 2009. Java 1.5. 24 Apr. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8986&DocID=1202>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Lorenz Attractor Periodic Orbits}, Month = {December}, Year = {2008} }
Refer Export Format

%A Wolfgang Christian
%T Lorenz Attractor Periodic Orbits
%D December 16, 2008
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8986&DocID=1202
%O 1.0
%O application/java

EndNote Export Format

%0 Computer Program
%A Christian, Wolfgang
%D December 16, 2008
%T Lorenz Attractor Periodic Orbits
%7 1.0
%8 December 16, 2008
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8986&DocID=1202


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Lorenz Attractor Periodic Orbits:

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 Lorenz Attractor Periodic Orbits.

relation by Wolfgang Christian

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