Speaker: Kate Meyer, Cornell University
Title: Attractor Intensity: Applications, Theory, and Computation

Abstract: A topological definition of a dynamic attractor leaves out metric information relevant to modeling real-world systems, particularly how far the attractor persists against perturbations and error. In this talk we consider features of an ODE attractor that eigenvalues and basin size do not capture. We introduce a quantity “intensity of attraction” that both indicates a basin of attraction’s capacity to retain solutions under time-varying perturbations and yields a lower bound on the distance the attractor continues in the space of autonomous vector fields. Time permitting, we contrast two numerical approaches to computing intensity.

Time: Friday, March 27, 2020, 1:30-2:30pm

Place: Exploratory Hall, Room 4106

Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
http://math.gmu.edu/
Tel. 703-993-1460, Fax. 703-993-1491