A kernel method computes Koopman eigenfunctions that preserve the Jacobian spectrum for Lyapunov-based stability analysis of nonlinear dynamical systems.
Path-integral formula for computing Koopman eigenfunctions,
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An optimization approach to Koopman eigenfunctions for non-vanishing time intervals reveals inherent aliasing limits from sampling and shows irregular sampling can recover the true spectrum.
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RKHS method for computing Koopman-based Lyapunov functions
A kernel method computes Koopman eigenfunctions that preserve the Jacobian spectrum for Lyapunov-based stability analysis of nonlinear dynamical systems.
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Koopman Representations for Non-Vanishing Time Intervals: An Optimization Approach and Sampling Effects
An optimization approach to Koopman eigenfunctions for non-vanishing time intervals reveals inherent aliasing limits from sampling and shows irregular sampling can recover the true spectrum.