G. Landi

Unstable Manifolds for the Kuramoto Model: Convergence to the Ott-Antonsen Manifold

In this paper, we study the finite-dimensional, homogeneous, all-to-all coupled Kuramoto model. We begin by performing a complete spectral analysis of all equilibria of the system. Motivated by this analysis, we then derive an explicit description of the unstable manifolds associated with the family of incoherent equil...