An explicit algebraic solution for the global phase trajectories of the N=3 identical all-to-all Kuramoto model is constructed via Koopman eigenfunctions that reduce the dynamics to solvable time-dependent quartic equations.
A proof of the kuramoto conjecture for a bifurcation structure of the infinite-dimensional kuramoto model.Ergodic Theory and Dynamical Systems, 35(3):762–834
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Global Analytical Solution of the Identical Kuramoto Model for N=3 via Koopman Eigenfunctions
An explicit algebraic solution for the global phase trajectories of the N=3 identical all-to-all Kuramoto model is constructed via Koopman eigenfunctions that reduce the dynamics to solvable time-dependent quartic equations.