Scientific Visualization of Dynamical Systems

The following topics will hopefully be discussed over the next year as my knowledge increases and research is conducted for my Thesis required for the specialized math program I am currently enrolled in. The research began in May of 97 and will be presented in April 98.

  1. Theory of Continuous Two Dimensional Dynamical Systems.
  2. Visualization Using The Maple V Software Package.
  3. Application to the Henon Attractor.

Update, (April 1998)

Hah, hah. Who was I kidding when I thought I could translate my thesis paper into an online form. The final product ended up at around 75 pages and used the software programs LaTeX, Maple V and the Java Development Kit to produce. Translating this into a browser readable format would be an incredible pain with very little, if any reward to myself.

What is simple to do is to convert part of the thesis into postscript from LaTeX and make that available. Here is section one which looks at the Theory of 2-D Dynamical Systems in postscript. The is viewable through GhostViewer which is free and easy to find on the net.

So what this leaves us with is simply a brief outline and a nifty Java application which I wrote as part of the thesis. This program allows one to interactively use the system on equations that can create the Henon Attractor when the parameters are set to the proper values.( a = 1.4, b = 0.3) Notice that I said Java 'application' and not an 'applet'. So when you click the button in the Java applet, an application will start in an applet window and execute the Interactive Henon Attractor program.
To the Henon Applet. which also includes source code required to make the applet.

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