An adaptive Kuramoto model with arbitrary-order hyperedges yields exact order parameter dynamics in the thermodynamic limit, confirmed by numerics that reveal qualitatively different regimes, phase transitions, and finite-size fluctuation effects.
Emergent stability dynamics in the human brain connectome through the inclusion of high order interactions between coupled oscillators
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Emergent synchrony in oscillator networks with adaptive arbitrary-order interactions
An adaptive Kuramoto model with arbitrary-order hyperedges yields exact order parameter dynamics in the thermodynamic limit, confirmed by numerics that reveal qualitatively different regimes, phase transitions, and finite-size fluctuation effects.