Research Seminar: "Identifying Dynamics From Finite Data" by Prof. Konstantin Mischaikow

Spring 2021 SIP Seminar Series: March 24, 2021
[www.inspirelab.us/seminars/]
Speaker: Prof. Konstantin Mischaikow
Abstract: The classical theory of nonlinear dynamics exhibits wonderfully rich and exotic structures. I would argue that as we move to an era of data driven dynamics it offers too many riches. Stated differently, if we only have finite data at our disposal we need a simpler theory of dynamics. I will present such a theory based on combinatorics and algebraic topology (no prerequisite understanding of algebraic topology is necessary). After describing the theory, I will discuss two directions of application. First, directly to the analysis of time series. Second to the analysis of dynamics of networks.
Biography: Konstantin Mischaikow obtained his Ph.D. in Mathematics in 1985 from the University of Wisconsin, Madison. He was a Postdoc in the Applied Math department at Brown. He has held positions in Mathematics at Michigan State University, Georgia Tech, and since 2006 at Rutgers University. His research interests include nonlinear dynamics, computational dynamics, and topological data analysis.