most citedData-Driven Modeling and Prediction of Non-Linearizable Dynamics via Spectral Submanifolds

170 citations · 170 across the 1 of their papers we have counts for

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math.DS2022

Fast data-driven model reduction for nonlinear dynamical systems

Joar Axås, Mattia Cenedese, George Haller

We present a fast method for nonlinear data-driven model reduction of dynamical systems onto their slowest nonresonant spectral submanifolds (SSMs). We use observed data to locate…

math.DS2022★ 170 cited

Data-Driven Modeling and Prediction of Non-Linearizable Dynamics via Spectral Submanifolds

Mattia Cenedese, Joar Axås, Bastian Bäuerlein +2

We develop a methodology to construct low-dimensional predictive models from data sets representing essentially nonlinear (or non-linearizable) dynamical systems with a hyperbolic…