most citedSolving nonlinear ordinary differential equations using the invariant manifolds and Koopman eigenfunctions

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math.DS2022★ 1 cited

Solving nonlinear ordinary differential equations using the invariant manifolds and Koopman eigenfunctions

Megan Morrison, J. Nathan Kutz

Nonlinear ordinary differential equations can rarely be solved analytically. Koopman operator theory provides a way to solve nonlinear systems by mapping nonlinear dynamics to a li…