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pswpswpsw authored Mar 27, 2024
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Expand Up @@ -79,65 +79,41 @@ Features implemented
Examples
^^^^^^^^

1. `Learning how to create observables <https://pykoopman.readthedocs
.io/en/master/tutorial_compose_observables
.html>`__
1. `Learning how to create observables <https://pykoopman.readthedocs.io/en/master/tutorial_compose_observables.html>`__

2. `Learning how to compute time derivatives <https://pykoopman.readthedocs
.io/en/master/tutorial_compute_differentiation.html>`__
2. `Learning how to compute time derivatives <https://pykoopman.readthedocs.io/en/master/tutorial_compute_differentiation.html>`__

3. `Dynamic mode decomposition on two mixed spatial signals <https://pykoopman.
readthedocs.io/en/master/tutorial_dmd_separating_two_mixed_signals_400d_system.html>`__
3. `Dynamic mode decomposition on two mixed spatial signals <https://pykoopman.readthedocs.io/en/master/tutorial_dmd_separating_two_mixed_signals_400d_system.html>`__

4. `Dynamic mode decomposition with control on a 2D linear system <https://pykoopman
.readthedocs.io/en/master/tutorial_dmd_with_control_2d_system
.html>`__
4. `Dynamic mode decomposition with control on a 2D linear system <https://pykoopman.readthedocs.io/en/master/tutorial_dmd_with_control_2d_system.html>`__

5. `Dynamic mode decomposition with control (DMDc) for a 128D system <https://pykoopman
.readthedocs.io/en/master/tutorial_dmd_with_control_128d_system.html>`__
5. `Dynamic mode decomposition with control (DMDc) for a 128D system <https://pykoopman.readthedocs.io/en/master/tutorial_dmd_with_control_128d_system.html>`__

6. `Dynamic mode decomposition with control on a high-dimensional linear system
<https://pykoopman.readthedocs.io/en/master/tutorial_linear_random_control_system
.html>`__
6. `Dynamic mode decomposition with control on a high-dimensional linear system <https://pykoopman.readthedocs.io/en/master/tutorial_linear_random_control_system.html>`__

7. `Successful examples of using Dynamic mode decomposition on PDE system
<https://pykoopman.readthedocs.io/en/master/tutorial_dmd_succeeds_pde_examples
.html>`__
7. `Successful examples of using Dynamic mode decomposition on PDE system <https://pykoopman.readthedocs.io/en/master/tutorial_dmd_succeeds_pde_examples.html>`__

8. `Unsuccessful examples of using Dynamic mode decomposition on PDE system <https://
pykoopman.readthedocs.io/en/master/tutorial_dmd_failed_for_pde_examples.html>`__
8. `Unsuccessful examples of using Dynamic mode decomposition on PDE system <https://pykoopman.readthedocs.io/en/master/tutorial_dmd_failed_for_pde_examples.html>`__

9. `Extended DMD for Van Der Pol System <https://pykoopman.readthedocs
.io/en/master/tutorial_koopman_edmd_with_rbf.html>`__
9. `Extended DMD for Van Der Pol System <https://pykoopman.readthedocs.io/en/master/tutorial_koopman_edmd_with_rbf.html>`__

10. `Learning Koopman eigenfunctions on Slow manifold <https://pykoopman.readthedocs
.io/en/master/tutorial_koopman_eigenfunction_model_slow_manifold.html>`__
10. `Learning Koopman eigenfunctions on Slow manifold <https://pykoopman.readthedocs.io/en/master/tutorial_koopman_eigenfunction_model_slow_manifold.html>`__

11. `Comparing DMD and KDMD for Slow manifold dynamics <https://pykoopman.readthedocs
.io/en/master/tutorial_koopman_kdmd_on_slow_manifold.html>`__
11. `Comparing DMD and KDMD for Slow manifold dynamics <https://pykoopman.readthedocs.io/en/master/tutorial_koopman_kdmd_on_slow_manifold.html>`__

12. `Extended DMD with control for chaotic duffing oscillator <https://pykoopman.
readthedocs.io/en/master/tutorial_koopman_edmdc_for_chaotic_duffing_oscillator.html>`__
12. `Extended DMD with control for chaotic duffing oscillator <https://pykoopman.readthedocs.io/en/master/tutorial_koopman_edmdc_for_chaotic_duffing_oscillator.html>`__

13. `Extended DMD with control for Van der Pol oscillator <https://pykoopman.readthedocs
.io/en/master/tutorial_koopman_edmdc_for_vdp_system.html>`__
13. `Extended DMD with control for Van der Pol oscillator <https://pykoopman.readthedocs.io/en/master/tutorial_koopman_edmdc_for_vdp_system.html>`__

14. `Hankel Alternative View of Koopman Operator for Lorenz System <https://pykoopman.
readthedocs.io/en/master/tutorial_koopman_havok_3d_lorenz.html>`__
14. `Hankel Alternative View of Koopman Operator for Lorenz System <https://pykoopman.readthedocs.io/en/master/tutorial_koopman_havok_3d_lorenz.html>`__

15. `Hankel DMD with control for Van der Pol Oscillator <https://pykoopman.readthedocs
.io/en/master/tutorial_koopman_hankel_dmdc_for_vdp_system.html>`__
15. `Hankel DMD with control for Van der Pol Oscillator <https://pykoopman.readthedocs.io/en/master/tutorial_koopman_hankel_dmdc_for_vdp_system.html>`__

16. `Neural Network DMD on Slow Manifold <https://pykoopman.readthedocs
.io/en/master/tutorial_koopman_nndmd_examples
.html>`__
16. `Neural Network DMD on Slow Manifold <https://pykoopman.readthedocs.io/en/master/tutorial_koopman_nndmd_examples.html>`__

17. `EDMD and NNDMD for a simple linear system <https://pykoopman.readthedocs
.io/en/master/tutorial_linear_system_koopman_eigenfunctions_with_edmd_and_nndmd.html>`__
17. `EDMD and NNDMD for a simple linear system <https://pykoopman.readthedocs.io/en/master/tutorial_linear_system_koopman_eigenfunctions_with_edmd_and_nndmd.html>`__

18. `Sparisfying a minimal Koopman invariant subspace from EDMD for a simple linear
system <https://pykoopman.readthedocs
.io/en/master/tutorial_sparse_modes_selection_2d_linear_system.html>`__
18. `Sparisfying a minimal Koopman invariant subspace from EDMD for a simple linear system <https://pykoopman.readthedocs.io/en/master/tutorial_sparse_modes_selection_2d_linear_system.html>`__

Installation
-------------
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