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The Adaptive Spectral Koopman Method for Dynamical Systems

Journal Article · · SIAM Journal on Applied Dynamical Systems
DOI:https://doi.org/10.1137/22m1487941· OSTI ID:2424708
 [1];  [2];  [3];  [1]
  1. Department of Industrial and Systems Engineering, Lehigh University, Bethlehem, PA 18015 USA.
  2. Halicioğlu Data Science Institute and Department of Computer Science and Engineering, University of California San Diego, La Jolla, CA 92093 USA.
  3. Department of Applied Mathematics, University of Washington, Seattle, WA 98195 USA.

Not provided.

Research Organization:
US Department of Energy (USDOE), Washington, DC (United States). Office of Science, Advanced Scientific Computing Research (ASCR)
Sponsoring Organization:
USDOE
OSTI ID:
2424708
Journal Information:
SIAM Journal on Applied Dynamical Systems, Journal Name: SIAM Journal on Applied Dynamical Systems Journal Issue: 3 Vol. 22; ISSN 1536-0040
Publisher:
Society for Industrial and Applied Mathematics (SIAM)
Country of Publication:
United States
Language:
English

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Extending Data-Driven Koopman Analysis to Actuated Systems journal January 2016
Variable Projection Methods for an Optimized Dynamic Mode Decomposition journal January 2018
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Deep learning for universal linear embeddings of nonlinear dynamics journal November 2018
Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control journal February 2016
Data-driven spectral analysis of the Koopman operator journal March 2020
Applied Koopman Theory for Partial Differential Equations and Data-Driven Modeling of Spatio-Temporal Systems journal December 2018
Applied Koopmanism journal December 2012
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Koopman spectra in reproducing kernel Hilbert spaces journal September 2020
Spectral analysis of the Koopman operator for partial differential equations journal November 2020
On dynamic mode decomposition: Theory and applications journal December 2014
Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State-Space Geometry journal December 2019

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