Corpus ID: 54033254

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}
}
  • Mason Kamb, Eurika Kaiser, +1 author J. Nathan Kutz
  • Published 2018
  • Mathematics, Computer Science
  • 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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    SHOWING 1-10 OF 47 REFERENCES

    Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator

    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Deep learning for universal linear embeddings of nonlinear dynamics

    VIEW 1 EXCERPT

    On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator

    VIEW 3 EXCERPTS