activity
20112025
most citedVariational approach to closure of nonlinear dynamical systems: Autonomous case

32 citations · 147 across the 27 of their papers we have counts for

collaborators

27 papers

physics.optics2025★ 6 cited

Room-temperature mid-infrared detection using metasurface-absorber-integrated phononic crystal oscillator

Zichen Xi, Zengyu Cen, Dongyao Wang +9

Mid-infrared (MIR) detectors find extensive applications in chemical sensing, spectroscopy, communications, biomedical diagnosis and space explorations. Alternative to semiconducto…

math.DS2024

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…

math.DS2024

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…

math.DS2023

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…

math.DS2023

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…

math.DS2023

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…