Generic and non-generic synchronization configurations in networks of coupled oscillators
- Algebra Seminar
- Monday, October 3, 2022 - 13:30 for 1 hour (actually 50 minutes)
- Clough 125 Classroom
- Tianran Chen – Auburn University at Montgomery – firstname.lastname@example.org
Networks of coupled oscillators are studied in biology, chemistry, physics, and engineering. The Kuramoto model is a simple dynamical system that models the nonlinear interaction among coupled oscillators. It has received widespread attention since it is simple enough to be analyzed rigorously yet complex enough to exhibit interesting emergent behaviors.
One such emergent behavior is the spontaneous synchronization of oscillators into special configurations. In the past decades, rigorous analysis of such synchronization configurations has been the focus of intensive studies.
In this talk, we explore the new insight to this problem provided by an algebraic and tropical approach.