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Exploring Modeling Techniques for Soft Arms: A Survey on Numerical, Analytical, and Data-Driven Approaches. [PDF]
Liu S +5 more
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Conditional POD for predicting extreme events in turbulent flow time signals. [PDF]
Martín D, Grau J, Jofre L.
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Koopman Operator Family Spectrum for Nonautonomous Systems
SIAM Journal on Applied Dynamical Systems, 2018For any non-autonomous dynamical system, the family of Koopman operators, as well as related Koopman eigenvalues and eigenfunctions, are parameterized by a time pair. Therefore, a logical approach in the data-driven algorithms for the non-autonomous Koopman mode decomposition is the application of a DMD method on the moving stencils of snapshots in ...
Nélida Črnjarić +2 more
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Applied Koopman operator theory for power systems technology [PDF]
Koopman operator is a composition operator defined for a dynamical system described by nonlinear differential or difference equation. Although the original system is nonlinear and evolves on a finite-dimensional state space, the Koopman operator itself ...
Takashi Hikihara +2 more
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The Koopman Operator in Systems and Control
This book provides a broad overview of state-of-the-art research at the intersection of the Koopman operator theory and control theory. It also reviews novel theoretical results obtained and efficient numerical methods developed within the framework of ...
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Sparsity Structures for Koopman and Perron--Frobenius Operators
SIAM Journal on Applied Dynamical Systems, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schlosser, Corbinian, Korda, Milan
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Koopman operator learning using invertible neural networks [PDF]
In Koopman operator theory, a finite-dimensional nonlinear system is transformed into an infinite but linear system using a set of observable functions.
Yue Qiu, Jianguo Huang
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Decomposition theorems for koopman operators
Nonlinear Analysis: Theory, Methods & Applications, 1997Let \(L^1(X)= L^1_\mu(X)= L^1(X,\Sigma,\mu)\), \(L^\infty(X)= L^\infty_\mu(X)= L^\infty(X,\Sigma,\mu)\) denote the usual Lebesgue spaces on a \(\sigma\)-finite measure space \((X,\Sigma,\mu)\), and let \(S:X\to X\) be a non-singular map, i.e. \(\mu(A)=0\) implies \(\mu(S^{-1}(A))=0\), \(A\in\Sigma\). Denote \(\nu=\mu\circ S^{-1}\), \(\varphi= d\nu/d\mu\
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