11 citations · 19 across the 4 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…
Soliton dynamics in the Gardner-Ostrovsky equation
R. Fariello, M. S. Soares, Y. A. Stepanyants
We investigate soliton formation and interactions in the non-integrable Gardner-Ostrovsky equation (alias the rotation-modified Gardner equation) with anomalous (positive) dispersi…
Soliton dynamics in the Ostrovsky equation with anomalous dispersion
R. Fariello, M. S. Soares, Y. A. Stepanyants
We investigate the formation and interaction of solitons in the non-integrable Ostrovsky equation characterized by anomalous (positive) dispersion. This equation is relevant for de…
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…
Third order interactions shift the critical coupling in multidimensional Kuramoto models
Ricardo Fariello, Marcus A. M. de Aguiar
The study of higher order interactions in the dynamics of Kuramoto oscillators has been a topic of intense recent research. Arguments based on dimensional reduction using the Ott-A…
Exploring the phase diagrams of multidimensional Kuramoto models
Ricardo Fariello, Marcus A. M. de Aguiar
The multidimensional Kuramoto model describes the synchronization dynamics of particles moving on the surface of D-dimensional spheres, generalizing the original model where partic…