Thursday, August 10
The Analysis of Scalar and Spatiotemporal Chaotic Time Series
10:00 AM-12:00 PM
Hibiscus & Ilima (Salon 3 & 4)
The speakers in this minisymposium will discuss the analysis of scalar and spatiotemporal chaotic data, in a way that should be accessible to experimentalists as well as theorists. The first two speakers will address the practicality of extracting symbolic dynamics from scalar time series and the reliability of dynamical estimates, such as Lyapunov exponents, from embeddings of time series data. The final two speakers will address the question of how to control spatiotemporal chaos with a finite number of controllers and present some new results on dimension estimation from time series of spatially coupled systems.
Organizers: Eric J. Kostelich and Ying-Cheng Lai
Arizona State University, USA
- 10:00-10:25 Symbolic Dynamical Analysis of Chaotic Time Series?
- Erik M. Bollt and Theodore Stanford, United States Naval Academy; Ying-Cheng Lai, Arizona State University, USA; and Karol Zyczkowski, Uniwersytet Jagiellonski, Poland
- 10:30-10:55 The Reliability of Chaotic Time Series Analysis
- Eric J. Kostelich, Organizer
- 11:00-11:25 Control and Synchronization of Space-Time Chaos
- Stefano Boccaletti and H. Mancini, University of Navarra, Spain; and J. Bragard, University of Liege, Belgium
- 11:30-11:55 Computing the Correlation Dimension from Time Series in Weakly Coupled Spatiotemporal Chaotic Systems
- Ying-Cheng Lai and Eric J. Kostelich, Organizers