9 citations · 18 across the 5 of their papers we have counts for
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nlin.AO2026
Kuramoto model on the -dimensional torus
Marcel Novaes
We propose a generalization of the Kuramoto model of interacting oscillators in which the particles move on the surface of a -dimensional torus. In contrast with the traditional…
nlin.AO2025
Synchronization of identical oscillators on a sphere: exact results with external forces and higher-order interactions
Guilherme S. Costa, Marcel Novaes, Ricardo Fariello +1
We study the dynamics of the Kuramoto model on the sphere under higher-order interactions and an external periodic force. For identical oscillators, we introduce a novel way to inc…
nlin.AO2024★ 9 cited
Bifurcations in the Kuramoto model with external forcing and higher-order interactions
Guilherme S. Costa, Marcel Novaes, Marcus A. M. de Aguiar
Synchronization is an important phenomenon in a wide variety of systems comprising interacting oscillatory units, whether natural (like neurons, biochemical reactions, cardiac cell…