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This research aims to understand the asymptotic dynamics of Kuramoto oscillators affected by inertia and frustration.

Alexseev–Gröbner Formula and Asymptotic Phase‐Locking of Kuramoto Ensembles With Inertia and Frustration

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This research aims to understand the asymptotic dynamics of Kuramoto oscillators affected by inertia and frustration.
Applied classical perturbation theory to ordinary differential equation systems.
Utilized the Alekseev–Gröbner formula to characterize the relationship of perturbed to unperturbed systems.
Computed rotation numbers of Kuramoto oscillators to explore phase-locking conditions.
Exhibited emergence of phase-locking in perturbed Kuramoto systems.
Provided sufficient frameworks for achieving asymptotic phase-locking based on system parameters.
Clarified the transformation of the Kuramoto model due to frustration effects.

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Research demonstrates phase-locking dynamics in Kuramoto oscillators with inertia and frustration, suggesting new insights into these systems.

Cho et al. (2026) studied this question.

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Research demonstrates phase-locking dynamics in Kuramoto oscillators with inertia and frustration, suggesting new insights into these systems.