Matthew Williams
Matthew Williams
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A data–driven approximation of the koopman operator: Extending dynamic mode decomposition
MO Williams, IG Kevrekidis, CW Rowley
Journal of Nonlinear Science 25 (6), 1307-1346, 2015
A kernel-based approach to data-driven Koopman spectral analysis
MO Williams, CW Rowley, IG Kevrekidis
arXiv preprint arXiv:1411.2260, 2014
Characterizing and correcting for the effect of sensor noise in the dynamic mode decomposition
STM Dawson, MS Hemati, MO Williams, CW Rowley
Experiments in Fluids 57 (3), 42, 2016
Dynamic mode decomposition for large and streaming datasets
MS Hemati, MO Williams, CW Rowley
Physics of Fluids 26 (11), 111701, 2014
Damped-driven granular chains: An ideal playground for dark breathers and multibreathers
C Chong, F Li, J Yang, MO Williams, IG Kevrekidis, PG Kevrekidis, ...
Physical Review E 89 (3), 032924, 2014
Extending data-driven Koopman analysis to actuated systems
MO Williams, MS Hemati, STM Dawson, IG Kevrekidis, CW Rowley
IFAC-PapersOnLine 49 (18), 704-709, 2016
Data fusion via intrinsic dynamic variables: An application of data-driven Koopman spectral analysis
MO Williams, CW Rowley, I Mezić, IG Kevrekidis
EPL (Europhysics Letters) 109 (4), 40007, 2015
Phase retrieval using nonlinear diversity
CH Lu, C Barsi, MO Williams, JN Kutz, JW Fleischer
Applied optics 52 (10), D92-D96, 2013
Improving separation control with noise-robust variants of dynamic mode decomposition
M Hemati, E Deem, M Williams, CW Rowley, LN Cattafesta
54th AIAA Aerospace Sciences Meeting, 1103, 2016
Light-bullet routing and control with planar waveguide arrays
MO Williams, CW McGrath, JN Kutz
Optics express 18 (11), 11671-11682, 2010
The proper orthogonal decomposition for dimensionality reduction in mode-locked lasers and optical systems
E Shlizerman, E Ding, MO Williams, JN Kutz
International Journal of Optics 2012, 2012
Identifying finite-time coherent sets from limited quantities of Lagrangian data
MO Williams, II Rypina, CW Rowley
Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (8), 087408, 2015
The multi-pulsing transition in mode-locked lasers: a low-dimensional approach using waveguide arrays
MO Williams, E Shlizerman, JN Kutz
JOSA B 27 (12), 2471-2481, 2010
Hybrid reduced-order integration with proper orthogonal decomposition and dynamic mode decomposition
MO Williams, PJ Schmid, JN Kutz
Multiscale Modeling & Simulation 11 (2), 522-544, 2013
Continuation of periodic solutions in the waveguide array mode-locked laser
MO Williams, J Wilkening, E Shlizerman, JN Kutz
Physica D: Nonlinear Phenomena 240 (22), 1791-1804, 2011
Spatial Mode-Locking of Light Bullets in PlanarWaveguide Arrays
MO Williams, JN Kutz
Optics express 17 (20), 18320-18329, 2009
Koopman operator framework for constrained state estimation
A Surana, MO Williams, M Morari, A Banaszuk
2017 IEEE 56th Annual Conference on Decision and Control (CDC), 94-101, 2017
Nonlinear resonances and antiresonances of a forced sonic vacuum
D Pozharskiy, Y Zhang, MO Williams, DM McFarland, PG Kevrekidis, ...
Physical Review E 92 (6), 063203, 2015
Evidence for the decay
R Aaij, B Adeva, M Adinolfi, Z Ajaltouni, S Akar, P Albicocco, J Albrecht, ...
Journal of High Energy Physics 2018 (7), 20, 2018
The low dimensionality of time-periodic standing waves in water of finite and infinite depth
MO Williams, E Shlizerman, J Wilkening, JN Kutz
SIAM Journal on Applied Dynamical Systems 11 (3), 1033-1061, 2012
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