2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.DS2020
Two methods to approximate the Koopman operator with a reservoir computer
Marvyn Gulina, Alexandre Mauroy
The Koopman operator provides a powerful framework for data-driven analysis of dynamical systems. In the last few years, a wealth of numerical methods providing finite-dimensional…
math.DS2018
Global computation of phase-amplitude reduction for limit-cycle dynamics
A. Mauroy, I. Mezic
Recent years have witnessed increasing interest to phase-amplitude reduction of limit-cycle dynamics. Adding an amplitude coordinate to the phase coordinate allows to take into acc…
math.DS2015★ 2 cited
An operator-theoretic approach to differential positivity
A. Mauroy, F. Forni, R. Sepulchre
Differentially positive systems are systems whose linearization along trajectories is positive. Under mild assumptions, their solutions asymptotically converge to a one-dimensional…