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Originally introduced in the fluid mechanics community, dynamic mode decomposition (DMD) has emerged as a powerful tool for analyzing the dynamics of nonlinear systems.
LIII. on lines and planes of closest fit to systems of points in space
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H. Hotelling · 1933
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Analysis of a complex of statistical variables into principal components
H. Hotelling · 1933
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Empirical orthogonal functions and statistical weather prediction
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Numerical Linear Algebra
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A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
B. R. Noack, K. Afanasiev, M. Morzyński, G. Tadmor, and F. Thiele · 2003
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Actuation models and dissipative control in empirical Galerkin models of fluid flows
B. R. Noack, G. Tadmor, and M. Morzyński · 2004
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Model reduction for fluids, using balanced proper orthogonal decomposition
C. W. Rowley · 2005
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Spectral properties of dynamical systems, model reduction and decompositions
I. Mezić · 2005
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The immersed boundary method: a projection approach
K. Taira and T. Colonius · 2007
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Dynamic mode decomposition of numerical and experimental data
P. J. Schmid and J. Sesterhenn · 2008
Cited alongside, same era.
A fast immersed boundary method using a nullspace approach and multi-domain far-field boundary conditions
T. Colonius and K. Taira · 2008
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Spectral analysis of nonlinear flows
C. W. Rowley, I. Mezic, S. Bagheri, P. Schlatter, and D. S. Henningson · 2009
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Experimental investigation of nonlinear instabilities in annular liquid sheets
D. Duke, D. Honnery, and J. Soria · 2012
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Analysis of unsteady behaviour in shockwave turbulent boundary layer interaction
M. Grilli, P. J. Schmid, S. Hickel, and N. A. Adams · 2012
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Dynamic mode decomposition analysis of detonation waves
L. Massa, R. Kumar, and P. Ravindran · 2012
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Decomposition of time-resolved tomographic PIV
P. J. Schmid, D. Violato, and F. Scarano · 2012
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Analysis of time-resolved PIV measurements of a confined turbulent jet using POD and Koopman modes
O. Semeraro, G. Bellani, and F. Lundell · 2012
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An improved algorithm for balanced POD through an analytic treatment of impulse response tails
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Optimality of balanced proper orthogonal decomposition for data reconstruction
J. R. Singler · 2010
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Dynamic mode decomposition of numerical and experimental data
P. J. Schmid · 2010
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Turbulence, Coherent Structures, Dynamical Systems and Symmetry
Philip J. Holmes, John L. Lumley, Gal Berkooz, and Clarence W. Rowley · 2011
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Dynamic mode decomposition of turbulent cavity flows for self-sustained oscillations
A. Seena and H. J. Sung · 2011
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Application of the dynamic mode decomposition to experimental data
P. J. Schmid · 2011
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Applications of the dynamic mode decomposition
P. J. Schmid, L. Li, M. P. Juniper, and O. Pust · 2011
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J. H. Tu and C. W. Rowley · 2012
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An error analysis of the dynamic mode decomposition
D. Duke, J. Soria, and D. Honnery · 2012
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Variants of dynamic mode decomposition: Boundary condition, Koopman, and Fourier analyses
K. K. Chen, J. H. Tu, and C. W. Rowley · 2012
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Optimal mode decomposition for high dimensional systems
P. J. Goulart, A. Wynn, and D. Pearson · 2012
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A parallelized model reduction library
B. A. Belson, J. H. Tu, and C. W. Rowley · 2013
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Sparsity-promoting dynamic mode decomposition
M. R. Jovanović, P. J. Schmid, and J. W. Nichols · 2013
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Optimal mode decomposition for unsteady flows
A. Wynn, D. Pearson, B. Ganapathisubramani, and P. J. Goulart · 2013
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Analysis of fluid flows via spectral properties of the Koopman operator
I. Mezić · 2013
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Koopman-mode decomposition of the cylinder wake
S. Bagheri · 2013
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Integration of non-time-resolved PIV and time-resolved velocity point sensors for dynamic estimation of velocity fields
J. H. Tu, J. Griffin, A. Hart, C. W. Rowley, L. N. Cattafesta III, and L. S. Ukeiley · 2013
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