433 citations · 1.4k across the 21 of their papers we have counts for
23 papers
Random templex encodes topological tipping points in noise-driven chaotic dynamics
Gisela D. Charó, Michael Ghil, Denisse Sciamarella
Random attractors are the time-evolving pullback attractors of stochastically perturbed, deterministically chaotic dynamical systems. These attractors have a structure that changes…
Asymptotic behavior of the forecast-assimilation process with unstable dynamics
Dan Crisan, Michael Ghil
Extensive numerical evidence shows that the assimilation of observations has a stabilizing effect on unstable dynamics, in numerical weather prediction and elsewhere. In this paper…
A multi-model ensemble Kalman filter for data assimilation and forecasting
Eviatar Bach, Michael Ghil
Data assimilation (DA) aims to optimally combine model forecasts and observations that are both partial and noisy. Multi-model DA generalizes the variational or Bayesian formulatio…
Extratropical low-frequency variability with ENSO forcing: A reduced-order coupled model study
Stéphane Vannitsem, Jonathan Demaeyer, Michael Ghil
The impact of the El Niño-Southern Oscillation (ENSO) on the extratropics is investigated in an idealized, reduced-order model that has a tropical and an extratropical module. Unid…
Reduced-Order Models for Coupled Dynamical Systems: Data-driven Methods and the Koopman Operator
Manuel Santos Gutiérrez, Valerio Lucarini, Mickaël D. Chekroun +1
Providing efficient and accurate parametrizations for model reduction is a key goal in many areas of science and technology. Here we present a strong link between data-driven and t…
Noise-driven Topological Changes in Chaotic Dynamics
Gisela D. Charó, Mickaël D. Chekroun, Denisse Sciamarella +1
Noise modifies the behavior of chaotic systems in both quantitative and qualitative ways. To study these modifications, the present work compares the topological structure of the d…