Applied Koopmanism.

@article{Budii2012AppliedK,
  title={Applied Koopmanism.},
  author={Marko Budi{\vs}i{\'c} and Ryan Mohr and Igor Mezic},
  journal={Chaos},
  year={2012},
  volume={22 4},
  pages={
          047510
        }
}
  • Marko Budišić, Ryan Mohr, Igor Mezic
  • Published in Chaos 2012
  • Mathematics, Physics, Medicine
  • A majority of methods from dynamical system analysis, especially those in applied settings, rely on Poincaré's geometric picture that focuses on "dynamics of states." While this picture has fueled our field for a century, it has shown difficulties in handling high-dimensional, ill-described, and uncertain systems, which are more and more common in engineered systems design and analysis of "big data" measurements. This overview article presents an alternative framework for dynamical systems… CONTINUE READING

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 212 CITATIONS

    Nonlinear Power System Analysis Using Koopman Mode Decomposition and Perturbation Theory

    VIEW 13 EXCERPTS
    HIGHLY INFLUENCED

    Koopman Operator Family Spectrum for Nonautonomous Systems - Part 1

    VIEW 7 EXCERPTS
    CITES BACKGROUND & METHODS
    HIGHLY INFLUENCED

    Applied Koopman Operator Theory for Power Systems Technology

    VIEW 7 EXCERPTS
    CITES BACKGROUND

    Koopman performance analysis of a class of nonlinear dynamical networks

    VIEW 7 EXCERPTS
    CITES METHODS & BACKGROUND
    HIGHLY INFLUENCED

    On Koopman and dynamic mode decompositions for application to dynamic data with low spatial dimension

    VIEW 5 EXCERPTS
    CITES BACKGROUND & METHODS

    On the numerical approximation of the Perron-Frobenius and Koopman operator

    VIEW 4 EXCERPTS
    CITES BACKGROUND & METHODS
    HIGHLY INFLUENCED

    FILTER CITATIONS BY YEAR

    2008
    2020

    CITATION STATISTICS

    • 23 Highly Influenced Citations

    • Averaged 45 Citations per year from 2017 through 2019

    • 16% Increase in citations per year in 2019 over 2018

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 18 REFERENCES