Dynamical Systems

Dynamical Systems

Steve Brunton via YouTube Direct link

Koopman Observable Subspaces & Finite Linear Representations of Nonlinear Dynamics for Control

2 of 19

2 of 19

Koopman Observable Subspaces & Finite Linear Representations of Nonlinear Dynamics for Control

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Classroom Contents

Dynamical Systems

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  1. 1 Sparse Identification of Nonlinear Dynamics (SINDy)
  2. 2 Koopman Observable Subspaces & Finite Linear Representations of Nonlinear Dynamics for Control
  3. 3 Koopman Observable Subspaces & Nonlinearization
  4. 4 Koopman Operator Optimal Control
  5. 5 Compressed Sensing and Dynamic Mode Decomposition
  6. 6 Hankel Alternative View of Koopman (HAVOK) Analysis [FULL]
  7. 7 Hankel Alternative View of Koopman (HAVOK) Analysis [SHORT]
  8. 8 Magnetic field reversal and Measles outbreaks: HAVOK models of chaos
  9. 9 Linear model for chaotic Lorenz system [HAVOK]
  10. 10 Simulating the Lorenz System in Matlab
  11. 11 Discrete-Time Dynamical Systems
  12. 12 Simulating the Logistic Map in Matlab
  13. 13 The Anatomy of a Dynamical System
  14. 14 Deep Learning of Dynamics and Coordinates with SINDy Autoencoders
  15. 15 Deep Learning of Dynamics and Coordinates with SINDy Autoencoders
  16. 16 Deep Learning of Dynamics and Coordinates with SINDy Autoencoders
  17. 17 Finite-Horizon, Energy-Optimal Trajectories in Unsteady Flows
  18. 18 SINDy-PI: A robust algorithm for parallel implicit sparse identification of nonlinear dynamics
  19. 19 Deep Delay Autoencoders Discover Dynamical Systems w Latent Variables: Deep Learning meets Dynamics!

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