47 citations · 89 across the 9 of their papers we have counts for
10 papers
Scale-Separated Dynamic Mode Decomposition and Ionospheric Forecasting
Daniel J. Alford-Lago, Christopher W. Curtis, Alexander T. Ihler +1
We present a method for forecasting the foF2 and hmF2 parameters using modal decompositions of ionospheric electron density profile time series. Our method is based on the Dynamic…
Deep Learning Enhanced Dynamic Mode Decomposition
Daniel J. Alford-Lago, Christopher W. Curtis, Alexander T. Ihler +1
Koopman operator theory shows how nonlinear dynamical systems can be represented as an infinite-dimensional, linear operator acting on a Hilbert space of observables of the system.…
Detection of Functional Communities in Networks of Randomly Coupled Oscillators Using the Dynamic-Mode Decomposition
Christopher W. Curtis, Mason A. Porter
Dynamic-mode decomposition (DMD) is a versatile framework for model-free analysis of time series that are generated by dynamical systems. We develop a DMD-based algorithm to invest…
Enhancing Dynamic-Mode Decomposition via Multi-Scale Analysis
Christopher W. Curtis
Through the use of wavelet based Besov norms, we compute nontrivial multiscale nonlinear features of a given data set so as to enhance the standard Dynamic-Mode Decomposition algor…
Particle trajectories in nonlinear Schrodinger models
John D. Carter, Christopher W. Curtis, Henrik Kalisch
The nonlinear Schrodinger equation is well known as a universal equation in the study of wave motion. In the context of wave motion at the free surface of an incompressible fluid,…
Nonlinear Traveling Internal Waves in Depth-Varying Currents
K. L. Oliveras, C. W. Curtis
In this work, we study the nonlinear traveling waves in density stratified fluids with depth varying shear currents. Beginning the formulation of the water-wave problem due to [1],…