176 citations · 722 across the 56 of their papers we have counts for
4 papers · 1 filter
Generalized frustration in the multidimensional Kuramoto model
Marcus A. M. de Aguiar
The Kuramoto model was recently extended to arbitrary dimensions by reinterpreting the oscillators as particles moving on the surface of unit spheres in a D-dimensional space. Each…
Ott-Antonsen ansatz for the D-dimensional Kuramoto model: a constructive approach
Ana Elisa D. Barioni, Marcus A. M. de Aguiar
Kuramoto's original model describes the dynamics and synchronization behavior of a set of interacting oscillators represented by their phases. The system can also be pictured as a…
Classical Dissipation and Asymptotic Equilibrium via Interaction with Chaotic Systems
M. V. S. Bonanca, M. A. M. de Aguiar
We study the energy flow between a one dimensional oscillator and a chaotic system with two degrees of freedom in the weak coupling limit. The oscillator's observables are averaged…
Scars of the Wigner function
Fabricio Toscano, Marcus A. M. de Aguiar, Alfredo M. Ozorio de Almeida
We propose a picture of Wigner function scars as a sequence of concentric rings along a two-dimensional surface inside a periodic orbit. This is verified for a two-dimensional plan…