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physics.soc-ph2025★ 7 cited
Exact solutions of the Kuramoto model with asymmetric higher order interactions of arbitrary order
Guilherme S. Costa, Marcel Novaes, Marcus A. M. de Aguiar
Higher order interactions can lead to new equilibrium states and bifurcations in systems of coupled oscillators described by the Kuramoto model. However, even in the simplest case…
physics.soc-ph2024
Dynamics of matrix coupled Kuramoto oscillators on modular networks: excitable behavior and global decoherence
Guilherme S. Costa, Marcus A. M. de Aguiar
Synchronization is observed in many natural systems, with examples ranging from neuronal activation to walking pedestrians. The models proposed by Winfree and Kuramoto stand as the…