Lorenz Attractor Periodic Orbits
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.
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Record Link
<a href="http://www.compadre.org/portal/items/detail.cfm?ID=8986">Christian, Wolfgang. "Lorenz Attractor Periodic Orbits." Version 1.0.</a>
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 September 28, 2016, 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 28 September 2016).
MLA Format
Christian, Wolfgang. Lorenz Attractor Periodic Orbits. Vers. 1.0. Computer software. 2009. Java 1.5. 28 Sep. 2016 <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
EndNote Export Format
%0 Computer Program Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
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. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. This resource is stored in a shared folder. You must login to access shared folders. 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 ChristianKnow of another related resource? Login to relate this resource to it. |
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