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.
Simplicial complexes and complex systems.Euro- pean Journal of Physics, 40(1):014001
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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.