Data-driven linearization of dynamical systems

Numerical mathematical programming methods (65K05) Numerical optimization and variational techniques (65K10) Approximation methods and numerical treatment of dynamical systems (37M99)

Cites Work

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A kernel-based method for data-driven Koopman spectral analysis
Rigorous model reduction for a damped-forced nonlinear beam model: an infinite-dimensional analysis
Smooth linearization of hyperbolic fixed points without resonance conditions
A data-driven approximation of the koopman operator: extending dynamic mode decomposition
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
Linearization in the large of nonlinear systems and Koopman operator spectrum
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Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction
Applied Koopmanism
Dynamic mode decomposition of numerical and experimental data
On the susceptibility of a ferromagnetic above the Curie point
Local Contractions and a Theorem of Poincare
On the Structure of Local Homeomorphisms of Euclidean n-Space, II
Spectral analysis of nonlinear flows
The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces
Hamiltonian Systems and Transformation in Hilbert Space
Global linearization and fiber bundle structure of invariant manifolds
On a differentiable linearization theorem of Philip Hartman
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Analysis of Fluid Flows via Spectral Properties of the Koopman Operator
Recipes for Continuation
Dynamic Mode Decomposition and Its Variants
Optimizing Oblique Projections for Nonlinear Systems using Trajectories
Phase lag predicts nonlinear response maxima in liquid-sloshing experiments
Koopman mode expansions between simple invariant solutions
MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION
Untersuchungen zur Theorie der Folgen analytischer Funktionen.
Local contractions of Banach spaces and spectral gap conditions
Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance
Invariant spectral foliations with applications to model order reduction and synthesis
Capturing the edge of chaos as a spectral submanifold in pipe flows
Spectral Submanifolds of the Navier-Stokes Equations
Nonlinear Model Reduction to Fractional and Mixed-Mode Spectral Submanifolds
Nonlinear model reduction to temporally aperiodic spectral submanifolds

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