CHAOS AND CONTROL by Elizabeth Bradley Department of Computer Science, University of Colorado INSCC 110, 3:30pm Monday, April 5, 1999 Abstract Understanding and exploiting the special properties of chaos can lead to designs that vastly improve the performance of many practical and useful systems --- spacecraft trajectories that require less fuel, for example, or electronic tracking circuitry with broader ranges and fuel injectors that mix gasoline and air more effectively. Control strategies that leverage chaos's characteristic geometry, ergodicity, and sensitivity to attain such improvements rely on powerful computational tools that use a combination of quantitative and qualitative reasoning to work with the special properties involved. This talk will begin with a brief review of the mathematical theory and computational techniques that are used in the control of chaos, and then cover a variety of interesting examples ranging from science and engineering to dance.