Infer a coupled-oscillator model for synchronized rotor-wake dynamics

Derive the parameters of a system of coupled oscillators that reproduces the observed frequency-domain behavior of synchronization among the four interacting rotor wakes.

Background

The authors interpret the incommensurate frequency associated with the synchronized vortex-merging process as a manifestation of mutual coupling among the individual rotor wakes. This interpretation suggests modeling the wakes as coupled nonlinear oscillators, with coupling producing intermittent phase alignment and phase slips.

The available dataset does not contain the parametric information needed to identify such a model rigorously. Consequently, the oscillator parameters governing the observed synchronization and its frequency-domain signature remain unresolved. A successful inference would provide a reduced-order description of the interaction and support subsequent analysis of synchronization regimes and bifurcations.

References

In the absence of parametric data, it was not possible to rigorously infer the parameters of a system of coupled oscillators to recover the frequency-domain behavior of the synchronization as in \citet{yang_computational_2025}.

— Wake interactions drive synchronized vortex merging in a hovering quadcopter  (2609.19507 - Pratschke et al., 16 Sep 2026) in Section 5, Discussion