Prof. Elizabeth Bradley, University of Colorado, US
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 tracking circuitry with broader capture 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 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.
Elizabeth Bradley is professor at the University of Colorado, with joint appointment at the Department of Computer Science and Department of Electrical and Computer Engineering. She received her PhD degree at the Massachusetts Institute of Technology (MIT) under the supervision of Hal Abelson and Gerald Sussman. Her research interests are in artificial intelligence and non-linear dynamics. She has been visiting scholar at Harvard University and Fellow of the Radcliffe Institute for Advanced Study. She has received various awards, including the student-voted John & Mercedes Peebles Innovation in Teaching Award, the student-voted GOLD Faculty Integrity Award, and the NSF National Young Investigator Award. She is the editor of the journal Chaos. She has been program chair of Dynamics Days in 2006, International Workshop on Qualitative Reasoning in 2008, and the International Symposium on Intelligent Data Analysis in 2003 and in 2011.
Host: Jaakko Hollmen