176 citations · 722 across the 56 of their papers we have counts for
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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…
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…
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…
Sakaguchi Swarmalators
Joao U. F. Lizarraga, Marcus A. M. de Aguiar
Swarmalators are phase oscillators that cluster in space, like fireflies flashing on a swarm to attract mates. Interactions between particles, which tend to synchronize their phase…
Synchronization and spatial patterns in forced swarmalators
Joao U. F. Lizarraga, Marcus A. M. de Aguiar
Swarlamators are particles capable of synchronize and swarm. Here we study the effects produced by an external periodic stimulus over a system of swarmalators that move in two dime…
Turing patterns and apparent competition in predator-prey food webs on networks
Lucas D. Fernandes, Marcus A. M. Aguiar
Reaction-diffusion systems may lead to the formation of steady state heterogeneous spatial patterns, known as Turing patterns. Their mathematical formulation is important for the s…