2 papers
math.DS2024
Dynamics on invariant tori emerging through forced symmetry breaking in phase oscillator networks
Christian Bick, José Mujica, Bob Rink
We consider synchrony patterns in coupled phase oscillator networks that correspond to invariant tori. For specific nongeneric coupling, these tori are equilibria relative to a con…
math.DS2022
Small- and large-amplitude limit cycles in Kukles systems with algebraic invariant curves
Jose Mujica
Limit cycles of planar polynomial vector fields have been an active area of research for decades; the interest in periodic-orbit related dynamics comes from Hilbert's 16th problem…