32 citations · 147 across the 27 of their papers we have counts for
6 papers · 1 filter
Non-Markovian Reduced Models to Unravel Transitions in Non-equilibrium Systems
Mickaël D. Chekroun, Honghu Liu, James C. McWilliams
This work proposes a general framework for capturing noise-driven transitions in spatially extended non-equilibrium systems and explains the emergence of coherent patterns beyond t…
Effective Reduced Models from Delay Differential Equations: Bifurcations, Tipping Solution Paths, and ENSO variability
Mickaël D. Chekroun, Honghu Liu
Conceptual delay models have played a key role in the understanding of El Niño-Southern Oscillation (ENSO) variability. Based on such delay models, we propose a novel scenario for…
Optimal Parameterizing Manifolds for Anticipating Tipping Points and Higher-order Critical Transitions
Mickaël D. Chekroun, Honghu Liu, James C. McWilliams
A general, variational approach to derive low-order reduced systems is presented. The approach is based on the concept of optimal parameterizing manifold (OPM) that substitutes the…
The High-Frequency and Rare Events Barriers to Neural Closures of Atmospheric Dynamics
Mickaël D. Chekroun, Honghu Liu, Kaushik Srinivasan +1
Recent years have seen a surge in interest for leveraging neural networks to parameterize small-scale or fast processes in climate and turbulence models. In this short paper, we po…
Galerkin-Koornwinder approximations of delay differential equations for physicists
Mickaël D. Chekroun, Honghu Liu
Formulas for Galerkin-Koornwinder (GK) approximations of delay differential equations are summarized. The functional analysis ingredients (semigroups, operators, etc.) are intentio…
Variational approach to closure of nonlinear dynamical systems: Autonomous case
Mickaël D. Chekroun, Honghu Liu, James C. McWilliams
A general, variational approach to derive low-order reduced systems for nonlinear systems subject to an autonomous forcing, is introduced. The approach is based on the concept of o…