Continua and persistence of periodic orbits in ensembles of oscillators
Continua and persistence of periodic orbits in ensembles of oscillators
Abstract Certain systems of coupled identical oscillators like the Kuramoto–Sakaguchi or the active rotator model possess the remarkable property of being Watanabe–Strogatz integrable. We prove that such systems, which couple via a global order parameter, feature a normally attracting invariant manifold that is foliated by periodic orbits. This allows us …