The Mean Field Equation for the Kuramoto Model on Graph Sequences with Non-Lipschitz Limit
The Mean Field Equation for the Kuramoto Model on Graph Sequences with Non-Lipschitz Limit
The Kuramoto model (KM) of coupled phase oscillators on graphs provides the most influential framework for studying collective dynamics and synchronization. It exhibits a rich repertoire of dynamical regimes. Since the work of Strogatz and Mirollo [J. Stat. Phys., 63 (1991), pp. 613--635], the mean field equation derived in the …