9 citations · 18 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
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…
Kuramoto variables as eigenvalues of unitary matrices
Marcel Novaes, Marcus A. M. de Aguiar
We generalize the Kuramoto model by interpreting the variables on the unit circle as eigenvalues of a -dimensional unitary matrix , in three versions: general unitary, sy…