Koopman Operator Spectrum for Random Dynamical Systems

Data-Driven Model Reduction and Transfer Operator Approximation

(2018) Stefan Klus et al.   JOURNAL OF NONLINEAR SCIENCE

Data Driven Modal Decompositions: Analysis and Enhancements

(2018) Zlatko Drmač et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Manifold Learning With Contracting Observers for Data-Driven Time-Series Analysis

(2017) Tal Shnitzer et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator

(2017) Milan Korda et al.   JOURNAL OF NONLINEAR SCIENCE

Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator

(2017) Hassan Arbabi et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

De-biasing the dynamic mode decomposition for applied Koopman spectral analysis of noisy datasets

(2017) Maziar S. Hemati et al.   THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS

Data-driven spectral decomposition and forecasting of ergodic dynamical systems

(2017) Dimitrios Giannakis   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

Bounds for Deterministic and Stochastic Dynamical Systems using Sum-of-Squares Optimization

(2016) G. Fantuzzi et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Correspondence between Koopman mode decomposition, resolvent mode decomposition, and invariant solutions of the Navier-Stokes equations

(2016) Ati S. Sharma et al.   Physical Review Fluids

A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

(2015) Matthew O. Williams et al.   JOURNAL OF NONLINEAR SCIENCE

Numerical approximations of stochastic differential equations with non-globally Lipschitz continuous coefficients

(2015) Martin Hutzenthaler et al.   MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Discovering dynamic patterns from infectious disease data using dynamic mode decomposition

(2015) Joshua L. Proctor et al.   International Health

Koopman-mode decomposition of the cylinder wake

(2013) Shervin Bagheri   JOURNAL OF FLUID MECHANICS

Isostables, isochrons, and Koopman spectrum for the action–angle representation of stable fixed point dynamics

(2013) A. Mauroy et al.   PHYSICA D-NONLINEAR PHENOMENA

Analysis of Fluid Flows via Spectral Properties of the Koopman Operator

(2012) Igor Mezić   Annual Review of Fluid Mechanics

Applied Koopmanism

(2012) Marko Budišić et al.   CHAOS

Nonlinear Koopman Modes and a Precursor to Power System Swing Instabilities

(2012) Yoshihiko Susuki et al.   IEEE TRANSACTIONS ON POWER SYSTEMS

Linearization in the large of nonlinear systems and Koopman operator spectrum

(2012) Yueheng Lan et al.   PHYSICA D-NONLINEAR PHENOMENA

Dynamic mode decomposition of numerical and experimental data

(2010) PETER J. SCHMID   JOURNAL OF FLUID MECHANICS

Runge–Kutta Methods for the Strong Approximation of Solutions of Stochastic Differential Equations

(2010) Andreas Rößler   SIAM JOURNAL ON NUMERICAL ANALYSIS

Applications of the dynamic mode decomposition

(2010) P. J. Schmid et al.   THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS

Spectral analysis of nonlinear flows

(2009) CLARENCE W. ROWLEY et al.   JOURNAL OF FLUID MECHANICS