Lorenz Attractor

In 1963, a model for thermally induced fluid convection in the atmosphere was developed by E. N. Lorenz (J. Atmos. Sci. 20:130, 1963). It is expressed by the following ordinary differential equations:

where x is proportional to the fluid velocity, y and z measure the fluid temperature, and s, r and b are the Prandtl number, the Raleigh number and a geometric factor, respectively.

 By using the following Java™ applet, you can experiment Lorenz's "strange attractor".  In order to use  this applet you need Java Plug-in and Java3D. For installation help see instructions at the bottom of this page.
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 Instructions:

  • Dragging a mouse with mouse button 1 : rotate the scene.
  • Dragging a mouse with mouse button 2 : zoom in/out
  • Dragging a mouse with mouse button 3: translate POINT.
  • Add : add a POINT in the scene.
  • Start : start drawing the trajectory of the points.
  • Stop : stop drawing.
  • Reset : clears the canvas.
  • Clear : crears the canvas and delete all POINTs.
  • Reset View : go back to the initial viewing position.

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Required:

Java Plug-in

and Java™3D

If you install Java™ Plug-in in C:\Program Files\JavaSoft, you should install Java3D™ in the same directory (C:\Program Files\JavaSoft). For the Java plug-in and Java3D, you might have to do the following setting:
1) Start Java Plug-in setting from "Start" > "Settings" > "Control Panel" > "Java Plug-in".
2) Select "Advanced" tag.
3) Change "Use Java Plug-in Default" to "JRE 1.X in C:\Program Files\JavaSoft..." (where "X" is the version number of Java Plug-in you installed).
4) Exit "Java Plug-in" setting.