Residual Dynamic Mode Decomposition- Rigorous Data-Driven Computation of Spectral Properties of Koopman Operators for Dynamical Systems

Residual Dynamic Mode Decomposition- Rigorous Data-Driven Computation of Spectral Properties of Koopman Operators for Dynamical Systems

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Intro

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1 of 13

Intro

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Residual Dynamic Mode Decomposition- Rigorous Data-Driven Computation of Spectral Properties of Koopman Operators for Dynamical Systems

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  1. 1 Intro
  2. 2 Operator viewpoint
  3. 3 Koopman mode decomposition
  4. 4 Build the matrix: Dynamic Mode Decompositio
  5. 5 ResDMD: avoiding "too little"
  6. 6 Setup for continuous spectra
  7. 7 Spectral decomposition of operators
  8. 8 Evaluating spectral measure
  9. 9 Example: non-linear pendulum
  10. 10 Approximate eigenfunctions
  11. 11 Quadrature with trajectory data
  12. 12 Example: Verify the dictionary
  13. 13 Example: Trustworthy Koopman mode decom

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