activity
20132024
most citedChaos as an Intermittently Forced Linear System

629 citations · 1.7k across the 20 of their papers we have counts for

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Showing 2017Show all

6 papers · 1 filter

math.DS2017★ 57 cited

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…

physics.flu-dyn2017★ 21 cited

Metric for attractor overlap

Rishabh Ishar, Eurika Kaiser, Marek Morzynski +6

We present the first general metric for attractor overlap (MAO) facilitating an unsupervised comparison of flow data sets. The starting point is two or more attractors, i.e., ensem…

eess.SY2017★ 2 cited

Dynamic mode decomposition for compressive system identification

Zhe Bai, Eurika Kaiser, Joshua L. Proctor +2

Dynamic mode decomposition has emerged as a leading technique to identify spatiotemporal coherent structures from high-dimensional data, benefiting from a strong connection to nonl…

math.OC2017★ 464 cited

Sparse identification of nonlinear dynamics for model predictive control in the low-data limit

Eurika Kaiser, J. Nathan Kutz, Steven L. Brunton

The data-driven discovery of dynamics via machine learning is currently pushing the frontiers of modeling and control efforts, and it provides a tremendous opportunity to extend th…

math.OC2017

Data-driven discovery of Koopman eigenfunctions for control

Eurika Kaiser, J. Nathan Kutz, Steven L. Brunton

Data-driven transformations that reformulate nonlinear systems in a linear framework have the potential to enable the prediction, estimation, and control of strongly nonlinear dyna…

physics.flu-dyn2017

Linear genetic programming control for strongly nonlinear dynamics with frequency crosstalk

Ruiying Li, Bernd R. Noack, Laurent Cordier +3

We advance Machine Learning Control (MLC), a recently proposed model-free control framework which explores and exploits strongly nonlinear dynamics in an unsupervised manner. The a…