101 citations · 166 across the 9 of their papers we have counts for
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physics.flu-dyn2019★ 44 cited
Analysis of amplification mechanisms and cross-frequency interactions in nonlinear flows via the harmonic resolvent
Alberto Padovan, Samuel E. Otto, Clarence W. Rowley
We propose a framework that elucidates the input-output characteristics of flows with complex dynamics arising from nonlinear interactions between different time scales. More speci…
math.NA2019★ 2 cited
A Discrete Empirical Interpolation Method for Interpretable Immersion and Embedding of Nonlinear Manifolds
Samuel E. Otto, Clarence W. Rowley
Manifold learning techniques seek to discover structure-preserving mappings of high-dimensional data into low-dimensional spaces. While the new sets of coordinates specified by the…