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written by Wolfgang Christian
The Mandelbrot Set model displays a set of points, c, in the complex plane that keep the function, z2 + c, bounded.  The function is generated by starting with value of c and an initial value for z, and generating the resulting complex number from the function z2 + c.  The result of the function them becomes the new z to be substituted back into the function.  This process is repeated until it is clear the function is bounded or unbounded by the initial choice of c.  By click-dragging in the plot you can magnify the selected region of the Mandelbrot set.  You can modify this simulation if you have Ejs installed by right-clicking within the plot and selecting "Open Ejs Model" from the pop-up menu item.  

Ejs Mandelbrot Set 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_MandelbrotSet.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.  Additional Ejs models for Newtonian mechanics are available.  They can be found by searching ComPADRE for Open Source Physics, OSP, or Ejs.

Please note that this resource requires at least version 1.5 of Java (JRE).
Subjects Levels Resource Types
Other Sciences
- Computer Science
- Mathematics
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
= Activity
= Curriculum support
= Interactive Simulation
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- application/java
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Access Rights:
Free access
Restriction:
© 2008 Wolfgang Christian
Additional information is available.
Keywords:
Easy Java Simulations, Ejs, Mandelbrot set, OSP, Open Source Physics, classical mechanics, fractal, modeling
Record Creator:
Metadata instance created July 5, 2008 by Mario Belloni
Record Updated:
June 10, 2014 by Andreu Glasmann
Last Update
when Cataloged:
July 1, 2008
Other Collections:

ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
W. Christian, Computer Program MANDELBROT SET MODEL, Version 1.0 (2008), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7576&DocID=596).
AJP/PRST-PER
W. Christian, Computer Program MANDELBROT SET MODEL, Version 1.0 (2008), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7576&DocID=596>.
APA Format
Christian, W. (2008). Mandelbrot Set Model (Version 1.0) [Computer software]. Retrieved September 20, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7576&DocID=596
Chicago Format
Christian, Wolfgang. "Mandelbrot Set Model." Version 1.0. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7576&DocID=596 (accessed 20 September 2014).
MLA Format
Christian, Wolfgang. Mandelbrot Set Model. Vers. 1.0. Computer software. 2008. Java (JRE) 1.5. 20 Sep. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7576&DocID=596>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Mandelbrot Set Model}, Month = {July}, Year = {2008} }
Refer Export Format

%A Wolfgang Christian
%T Mandelbrot Set Model
%D July 1, 2008
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7576&DocID=596
%O 1.0
%O application/java

EndNote Export Format

%0 Computer Program
%A Christian, Wolfgang
%D July 1, 2008
%T Mandelbrot Set Model
%7 1.0
%8 July 1, 2008
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7576&DocID=596


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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.

The Chicago Style presented is based on information from Examples of Chicago-Style Documentation.

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