Last edited 10aug06 by Chris Rainey
Find this document at http://new.math.uiuc.edu/im2006/rainey

**illiMath2006: an REU of **

Geometrical Visualization in Virtual Environments

**
11 June - 4 August**

Student Principle Investigator: Christopher Rainey

## My Project:

Projects of illiMath2006 Research Experience for Undegraduates, Mathematics
Department, University of Illinois at Urbana (UIUC), directed by
Prof. George Francis, are the work of the student principal
investigator (SPI) and their assiated mentor (AM) and/or corresponding
mentor (CM). Other student investigators (SI) assist.

** "illiDyne" SPI: Chris Rainey; SI: Emily Echevarria;
AM: George Francis; **

This project greatly expands upon several previous Syzygy RTICA where
users view and interact with a series of chaotic and non-chaotic 3D dynamical
systems in the CUBE. These include the Lorenz, Roessler, Rainey, Rabinovich-Frabrikant, and 2D non-linear systems such as the Lienard-VanderPol. As a DSG-Python
application, the user can modify the code by inserting new dynamical
systems, and investigate these collaboratively with Myriad.
This project builds upon previous applications written by Stan Blank,
Ben Schaeffer, and Kyle Wilkinson.

**ATPsynth and illiDyne will be presented as an MAA talk at Session 5,
Room 200A, 3:40pm Friday 11aug06, at Mathfest, Knoxville, TN, August, 2006.**

Pictures Of illiDyne

ATPsynth

Personal Information

Proof That Math is Awesome

The CUBE at UIUC