Oct 21, 2:00 PM: ZOOM MEETING - Special JFI Seminar - Prof. ...
ABSTRACT: In Kuramoto Oscillator Network Models, an underlying symmetry constrains the system dynamics to low-dimensional manifolds that can be characterized through the action of the 3D Möbius group. These Möbius transformations are the isometries of the Poincaré Disk. We explore the consequences of this hyperbolic geometry on oscillator dynamics, both for models with populations of N distinct identical oscillators or a continuum of identical oscillators. In the latter case we systematically extend the analysis off the famous Ott-Antonsen manifold of Poisson densities, and use a simple geometric argument to prove that the OA manifold is not attracting. Host: Peter Littlewood, littlewood@uchicago.edu. Persons who may need assistance please contact Brenda Thomas at bthomas@uchicago.edu.Date: October 21, 2020Time: 2:00 PM - 3:00 PM