KO-6   Tuesday July 9 - 08:45

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

MS29 Part 1 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

08:45 - 09:15 - Timothy Sauer - Consistent manifold learning from data [Abstract]

09:15 - 09:45 - Rachel Neville - Characterizing Pattern Forming Systems with Topological Data Analysis [Abstract]

09:45 - 10:15 - Sarah Day - Computational topology and the study of changing patterns in coupled-patch population models [Abstract]

10:15 - 10:45 - Chad Giusti - Path space cochain models for analysis of population dynamics [Abstract]