688 citations · 3.2k across the 69 of their papers we have counts for
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cs.LG2021★ 53 cited
Combining machine learning and data assimilation to forecast dynamical systems from noisy partial observations
Georg A. Gottwald, Sebastian Reich
We present a supervised learning method to learn the propagator map of a dynamical system from partial and noisy observations. In our computationally cheap and easy-to-implement fr…
nlin.AO2021★ 3 cited
Mesoscopic model reduction for the collective dynamics of sparse coupled oscillator networks
Lauren D Smith, Georg A Gottwald
The behavior at bifurcation from global synchronization to partial synchronization in finite networks of coupled oscillators is a complex phenomenon, involving the intricate dynami…
nlin.PS2021★ 5 cited
A collective coordinate framework to study solitary waves in stochastically perturbed Korteweg-de Vries equations
Madeleine Cartwright, Georg A. Gottwald
Stochastically perturbed Korteweg-de Vries (KdV) equations are widely used to describe the effect of random perturbations on coherent solitary waves. We present a collective coordi…