27 citations · 285 across the 42 of their papers we have counts for
4 papers · 1 filter
Localized synchronous patterns in weakly coupled bistable oscillators
Erik Bergland, Jason J Bramburger, Bjorn Sandstede
Motivated by numerical continuation studies of coupled mechanical oscillators, we investigate branches of localized time-periodic solutions of one-dimensional chains of coupled osc…
Real-Time Motion Detection Using Dynamic Mode Decomposition
Marco Mignacca, Simone Brugiapaglia, Jason J. Bramburger
Dynamic Mode Decomposition (DMD) is a numerical method that seeks to fit timeseries data to a linear dynamical system. In doing so, DMD decomposes dynamic data into spatially coher…
Localized Patterns
Jason J. Bramburger, Dan J. Hill, David J. B. Lloyd
Localized patterns are coherent structures embedded in a quiescent state and occur in both discrete and continuous media across a wide range of applications. While it is well-under…
Persistence of steady-states for dynamical systems on large networks
Jason J. Bramburger, Matt Holzer, Jackson Williams
The goal of this work is to identify steady-state solutions to dynamical systems defined on large, random families of networks. We do so by passing to a continuum limit where the a…