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Wavelet‐based dynamic mode decomposition
PAMM, 2021AbstractDynamic mode decomposition (DMD) has emerged as a leading data‐driven technique to identify the spatio‐temporal coherent structure in dynamical systems, owing to its strong relation with the Koopman operator. For dynamical systems with external forcing, the identified model should not only be suitable for a specific forcing function but should ...
Manu Krishnan +2 more
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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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Analysis of Dynamic Stall using Dynamic Mode Decomposition Technique
31st AIAA Applied Aerodynamics Conference, 2013Dynamic mode decomposition is applied to investigate the unsteady flowfield around a pitching airfoil. The extracted flow structures are termed as dynamic mode decomposition modes. Analyses are performed for both attached flow and dynamic stall cases. Initially, flowfield data generated from numerical simulations are investigated.
Mariappan, Sathesh +3 more
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Sparse nonnegative dynamic mode decomposition
2017 IEEE International Conference on Image Processing (ICIP), 2017Dynamic mode decomposition (DMD) is a method to extract coherent modes from nonlinear dynamical systems. In this paper, we propose an extension of DMD, sparse nonnegative DMD, which generates a nonlinear and sparse modal representation of dynamics. In particular, this makes DMD more suitable for video processing.
Naoya Takeishi +2 more
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A Characteristic Dynamic Mode Decomposition
2016Temporal or spatial structures are readily extracted from complex data by modal decompositions like Proper Orthogonal Decomposition (POD) or Dynamic Mode Decomposition (DMD). Subspaces of such decompositions serve as reduced order models and define either spatial structures in time or temporal structures in space.
Sesterhenn, J��rn, Shahirpour, Amir
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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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Whispering-gallery-mode sensors for biological and physical sensing
Nature Reviews Methods Primers, 2021Deshui Yu, Matjaž Humar, Krista Meserve
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