# Time-Delay Observables for Koopman: Theory and Applications

@inproceedings{Kamb2018TimeDelayOF, title={Time-Delay Observables for Koopman: Theory and Applications}, author={Mason Kamb and Eurika Kaiser and Steven L. Brunton and J. Nathan Kutz}, year={2018} }

Nonlinear dynamical systems are ubiquitous in science and engineering, yet many issues still exist related to the analysis and prediction of these systems. Koopman theory circumvents these issues by transforming the finite-dimensional nonlinear dynamics to a linear dynamical system of functions in an infinite-dimensional Hilbert space of observables. The eigenfunctions of the Koopman operator evolve linearly in time and thus provide a natural coordinate system for simplifying the dynamical… CONTINUE READING

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