35 citations · 100 across the 6 of their papers we have counts for
4 papers · 1 filter
Volcano transition in a solvable model of oscillator glass
Bertrand Ottino-Löffler, Steven H. Strogatz
In 1992 a puzzling transition was discovered in simulations of randomly coupled limit-cycle oscillators. This so-called volcano transition has resisted analysis ever since. It was…
Comparing the Locking Threshold for Rings and Chains of Oscillators
Bertrand Ottino-Loffler, Steven Strogatz
We present a case study of how topology can affect synchronization. Specifically, we consider arrays of phase oscillators coupled in a ring or a chain topology. Each ring is perfec…
Frequency Spirals
Bertrand Ottino-Loffler, Steven Strogatz
We study the dynamics of coupled phase oscillators on a two-dimensional Kuramoto lattice with periodic boundary conditions. For coupling strengths just below the transition to glob…
Kuramoto model with uniformly spaced frequencies:Finite-N asymptotics of the locking threshold
Bertrand Ottino-Loffler, Steven Strogatz
We study phase locking in the Kuramoto model of coupled oscillators in the special case where the number of oscillators, , is large but finite, and the oscillators' natural freq…