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Symbolic extended dynamic mode decomposition
Chaos: An Interdisciplinary Journal of Nonlinear ScienceIn 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
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Convergent Dynamic Mode Decomposition
2023 62nd IEEE Conference on Decision and Control (CDC), 2023Joel A. Rosenfeld +1 more
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A LAPACK Implementation of the Dynamic Mode Decomposition
ACM Transactions on Mathematical SoftwareThe 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.
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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 ...
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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 ...
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Adaptive dynamic mode decomposition and its application in rolling bearing compound fault diagnosis
Structural Health Monitoring, 2023Ping Ma, Hongli Zhang
exaly
Compressed dynamic mode decomposition for the analysis of centrifugal compressor volute
International Journal of Heat and Fluid Flow, 2018Xiaocheng Zhu, Zhaohui Du
exaly
Dynamic mode decomposition for financial trading strategies
Quantitative Finance, 2016J Nathan Kutz
exaly
An improved criterion to select dominant modes from dynamic mode decomposition
European Journal of Mechanics, B/Fluids, 2017Jiaqing Kou, Weiwei Zhang
exaly
Dynamic mode decomposition of cavitating flow around ALE 15 hydrofoil
Renewable Energy, 2019Lei Tan, Shuliang Cao
exaly

