activity
20152021
most citedVolcano transition in a solvable model of oscillator glass

35 citations · 100 across the 6 of their papers we have counts for

collaborators

6 papers

q-bio.PE2021★ 2 cited

A Seascape Origin of Richards Growth

Daniel Swartz, Bertrand Ottino-Löffler, Mehran Kardar

First proposed as an empirical rule over half a century ago, the Richards growth equation has been frequently invoked in population modeling and pandemic forecasting. Central to th…

math.DS2017★ 35 cited

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…

q-bio.PE2017★ 23 cited

Takeover times for a simple model of network infection

Bertrand Ottino-Löffler, Jacob G. Scott, Steven H. Strogatz

We study a stochastic model of infection spreading on a network. At each time step a node is chosen at random, along with one of its neighbors. If the node is infected and the neig…

math.DS2016★ 11 cited

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…

math.DS2016★ 11 cited

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…

math.DS2015★ 18 cited

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…