53 citations · 69 across the 3 of their papers we have counts for
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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…
Data assimilation as a nonlinear dynamical systems problem: Stability and convergence of the prediction-assimilation system
Alberto Carrassi, Michael Ghil, Anna Trevisan +1
We study prediction-assimilation systems, which have become routine in meteorology and oceanography and are rapidly spreading to other areas of the geosciences and of continuum phy…