Edward Ott - UMD
Wednesday, June 28, 10:45AM EDT (Zoom meeting starts at 10:30 EDT)
Emergent Behavior in Large Systems of Many Coupled Oscillatory Dynamical Units
We consider a class of models in which many heterogeneous oscillatory dynamical systems are coupled. This general class has broad interest in the modeling of many diverse situations in biology, physics and engineering. We show that, in certain nontrivial situations, such systems admit exact low dimensional macroscopic descriptions. In this talk we illustrate the theory using the simple example of the Kuramoto Model and then discuss applications in several examples.