73 citations · 398 across the 44 of their papers we have counts for
4 papers · 1 filter
Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems
Matthew J. Colbrook, Qin Li, Ryan V. Raut +1
Koopman operators linearize nonlinear dynamical systems, making their spectral information of crucial interest. Numerous algorithms have been developed to approximate these spectra…
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,…
Sufficiently dense Kuramoto networks are globally synchronizing
Martin Kassabov, Steven H. Strogatz, Alex Townsend
Consider any network of identical Kuramoto oscillators in which each oscillator is coupled bidirectionally with unit strength to at least other oscillators. There is a…