9 citations · 16 across the 5 of their papers we have counts for
6 papers
Multistability and Juggling States in Frustrated Kuramoto Oscillators on Ring Networks
Guilherme S. Costa, Ricardo Fariello, Marcus A. M. de Aguiar
We study the properties of matrix coupled oscillators in ring networks and show that the system supports several families of synchronized clustered solutions. One of these families…
Arnold tongues in the forced Kuramoto model with matrix coupling
Guilherme S. Costa, Marcus A. M. de Aguiar
We consider a generalization of the Kuramoto model in which phase oscillators are represented by unit vectors coupled by a matrix of constant coefficients. We show that, when the o…
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…
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…