KO-6   Monday July 8 - 16:30

MS29 Part 1 of 2 - Topological data analysis of dynamical systems

MS29 Part 2 of 2

Techniques of topological data analysis (TDA) have found increasingly deep applications to problems in dynamical systems. This session focuses on the wide range of connections to differential equations and dynamics, including theoretical advances in analysis of data and new applications to a variety of data types. Speakers will discuss how to use TDA to characterize time series, spatio-temporal patterns, critical transitions in distributed populations, and methods to describe dynamics of combinatorial vector fields on simplicial complexes. The session will also explore the use of TDA to describe and characterize biological pattern variability, solar magnetogram data to predict solar flares, and collective behavior in agent-based systems.

Chad Topaz
Tim Sauer

16:30 - 17:00 - Angelika Manhart - Can computers learn how animals flock? [Abstract]

17:00 - 17:30 - Thomas Wanner - Combinatorial Topological Dynamics [Abstract]

17:30 - 18:00 - Melissa McGuirl - Quantifying Zebrafish Patterns: A Study of Pattern Variability and Robustness [Abstract]

18:00 - 18:30 - Chad Topaz - Open discussion [Abstract]