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clairevalva authored Sep 25, 2023
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# Consistent Koopman
Julia implementations for consistent (spectral) approximations of Koopman operators, following [arXiv:2309.00732](https://doi.org/10.48550/arXiv.2309.00732) that includes a _very_ limited implementation of nonlinear Laplacian spectral analysis or NLSA and related kernel algorithms. (The full and original package — implemented in Matlab — can be found here: [NLSA](https://github.com/dg227/NLSA).)

See the examples folder [and flattorus.jl](https://github.com/clairevalva/ConsistentKoopman.jl/blob/main/examples/flattorus.jl) for the computation of approximate Koopman eigenfunctions of the flat torus system:
See the examples folder and [flattorus.jl](https://github.com/clairevalva/ConsistentKoopman.jl/blob/main/examples/flattorus.jl) for the computation of approximate Koopman eigenfunctions of the flat torus system:
$$\Phi^t: \mathbf{T}^2 \to \mathbf{T}^2, \Phi^t(\theta_1, \theta_2) = (\theta_1 + \alpha_1 t, \theta_2 + \alpha_2 t) \mathrm{mod} 2\pi$$
for which eigenfunctions should resemble fourier modes and the eigenvalues should be integer linear combinations of $\alpha_1$ and $\alpha_2$.

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Registration pull request updated: JuliaRegistries/General/92136

After the above pull request is merged, it is recommended that a tag is created on this repository for the registered package version.

This will be done automatically if the Julia TagBot GitHub Action is installed, or can be done manually through the github interface, or via:

git tag -a v0.1.0 -m "<description of version>" b3aa32a905fc952fa8a7c059a64264fcebdd9ce7
git push origin v0.1.0

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