4.8k citations · 6.6k across the 13 of their papers we have counts for
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math.DS2015★ 638 cited
Koopman invariant subspaces and finite linear representations of nonlinear dynamical systems for control
Steven L. Brunton, Bingni W. Brunton, Joshua L. Proctor +1
In this work, we explore finite-dimensional linear representations of nonlinear dynamical systems by restricting the Koopman operator to an invariant subspace. The Koopman operator…
math.DS2015★ 4.8k cited
Discovering governing equations from data: Sparse identification of nonlinear dynamical systems
Steven L. Brunton, Joshua L. Proctor, J. Nathan Kutz
The ability to discover physical laws and governing equations from data is one of humankind's greatest intellectual achievements. A quantitative understanding of dynamic constraint…