Wednesday, August 9

MS3
Dynamical Data Analysis

1:30 PM-3:30 PM
Hibiscus & Ilima (Salon 3 & 4)

There is great interest in applying methods of nonlinear dynamics to physical and biological systems. In situations where mathematical modeling on first-principles is unsuccessful or impossible, techniques have been developed to reach conclusions about the system through measured data. The speakers will present contributions to the state of the art of system reconstruction and statisical inference, particularly in the presence of chaotic dynamics and noise.

1:30-1:55 Information Coding and Possible Dynamical Data Analysis in the Noisy Brain

Kazuyuki Aihara, University of Tokyo, Japan and Japan Science and Technology Corporation, Japan

2:00-2:25 Delay Embedding of Iterated Function Systems

David S. Broomhead, J. P. Huke, and M. R. Muldoon, Manchester Institute of Science and Technology, United Kingdom

2:30-2:55 Estimating and Using Invariant Distributions from Data

Alistair I. Mees, Devin Kilminster, and David Allingham, University of Western Australia, Australia ; and Matt Kennel, University of California, San Diego

3:00-3:25 Computing Lyapunov Exponents from Data

James A. Yorke, University of Maryland, College Park, USA