337 citations · 1.1k across the 23 of their papers we have counts for
37 papers
Synchronization in random networks of identical phase oscillators: A graphon approach
Shriya V. Nagpal, Gokul G. Nair, Steven H. Strogatz +1
Networks of coupled nonlinear oscillators have been used to model circadian rhythms, flashing fireflies, Josephson junction arrays, high-voltage electric grids, and many other kind…
Expander graphs are globally synchronizing
Pedro Abdalla, Afonso S. Bandeira, Martin Kassabov +3
The Kuramoto model is fundamental to the study of synchronization. It consists of a collection of oscillators with interactions given by a network, which we identify respectively w…
Comparing the efficiency of forward and backward contact tracing
Jonas L. Juul, Steven H. Strogatz
Tracing potentially infected contacts of confirmed cases is important when fighting outbreaks of many infectious diseases. The COVID-19 pandemic has motivated researchers to examin…
Exploring the electric field around a loop of static charge: Rectangles, stadiums, ellipses, and knots
Max Lipton, Steven H Strogatz, Alex Townsend
We study the electric field around a continuous one-dimensional loop of static charge, under the assumption that the charge is distributed uniformly along the loop. For rectangular…
A global synchronization theorem for oscillators on a random graph
Martin Kassabov, Steven H. Strogatz, Alex Townsend
Consider identical Kuramoto oscillators on a random graph. Specifically, consider \ER random graphs in which any two oscillators are bidirectionally coupled with unit strength,…
Coupled metronomes on a moving platform with Coulomb friction
Guillermo H. Goldsztein, Lars Q. English, Emma Behta +3
Using a combination of theory, experiment, and simulation, we revisit the dynamics of two coupled metronomes on a moving platform. Our experiments show that the platform's motion i…