Two methods to approximate the Koopman operator with a reservoir computer.

@article{Gulina2020TwoMT,
  title={Two methods to approximate the Koopman operator with a reservoir computer.},
  author={Marvyn Gulina and Alexandre Mauroy},
  journal={Chaos},
  year={2020},
  volume={31 2},
  pages={
          023116
        },
  url={https://api.semanticscholar.org/CorpusID:221266743}
}
This paper proposes two novel methods based on a reservoir computer to train the dictionary that rely solely on linear convex optimization and illustrates the efficiency of the method with several numerical examples in the context of data reconstruction, prediction, and computation of the Koopman operator spectrum.
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