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.
Global stability analysis using the eigenfunctions of the koopman operator.IEEE Transactions on Auto- matic Control, 61(11):3356–3369
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
nlin.AO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.