629 citations · 1.7k across the 20 of their papers we have counts for
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Modern Koopman Theory for Dynamical Systems
Steven L. Brunton, Marko Budišić, Eurika Kaiser +1
The field of dynamical systems is being transformed by the mathematical tools and algorithms emerging from modern computing and data science. First-principles derivations and asymp…
Data-driven approximations of dynamical systems operators for control
Eurika Kaiser, J. Nathan Kutz, Steven L. Brunton
The Koopman and Perron Frobenius transport operators are fundamentally changing how we approach dynamical systems, providing linear representations for even strongly nonlinear dyna…
Discovering conservation laws from data for control
Eurika Kaiser, J. Nathan Kutz, Steven L. Brunton
Conserved quantities, i.e. constants of motion, are critical for characterizing many dynamical systems in science and engineering. These quantities are related to underlying symmet…
Optimized Sampling for Multiscale Dynamics
Krithika Manohar, Eurika Kaiser, Steven L. Brunton +1
The characterization of intermittent, multiscale and transient dynamics using data-driven analysis remains an open challenge. We demonstrate an application of the Dynamic Mode Deco…
Chaos as an Intermittently Forced Linear System
Steven L. Brunton, Bingni W. Brunton, Joshua L. Proctor +2
Understanding the interplay of order and disorder in chaotic systems is a central challenge in modern quantitative science. We present a universal, data-driven decomposition of cha…