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Symbolic extended dynamic mode decomposition

Chaos: An Interdisciplinary Journal of Nonlinear Science
In this paper, we present a new method of performing extended dynamic mode decomposition (EDMD) on systems, which admit a symbolic representation. EDMD generates estimates of the Koopman operator, K, for a dynamical system by defining a dictionary of observables on the space and producing an estimate, Km, which is restricted to be invariant on the span
Connor Kennedy   +2 more
openaire   +3 more sources

Convergent Dynamic Mode Decomposition

2023 62nd IEEE Conference on Decision and Control (CDC), 2023
Joel A. Rosenfeld   +1 more
openaire   +1 more source

A LAPACK Implementation of the Dynamic Mode Decomposition

ACM Transactions on Mathematical Software
The Dynamic Mode Decomposition (DMD) is a method for computational analysis of nonlinear dynamical systems in data driven scenarios. Based on high fidelity numerical simulations or experimental data, the DMD can be used to reveal the latent structures in the dynamics or as a forecasting or a model order reduction tool.
openaire   +1 more source

Output Dynamic Mode Decomposition: An Extension of Dynamic Mode Decomposition Based on Output Functional Expansions

2018 IEEE Conference on Decision and Control (CDC), 2018
In this paper we present an extension of Dynamic Mode Deecomposition (DMD) that is based on expansions of the Koopman operator for a nonlinear discrete time system and a corresponding expansion of an output equation. The resulting approach, termed Output Dynamic Mode Decomposition (ODMD), is an alternative to Extended Dynamic Mode Decomposition that ...
openaire   +1 more source

Compressed dynamic mode decomposition for the analysis of centrifugal compressor volute

International Journal of Heat and Fluid Flow, 2018
Xiaocheng Zhu, Zhaohui Du
exaly  

Dynamic mode decomposition for financial trading strategies

Quantitative Finance, 2016
J Nathan Kutz
exaly  

An improved criterion to select dominant modes from dynamic mode decomposition

European Journal of Mechanics, B/Fluids, 2017
Jiaqing Kou, Weiwei Zhang
exaly  

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