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.
Ap- plied koopman operator theory for power systems technology.Nonlinear Theory and Its Applications, IEICE, 7(4):430–459
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
nlin.AO 1years
2026 1verdicts
UNVERDICTED 1roles
background 1polarities
unclear 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.