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- W4378833392 abstract "Extracting the latent underlying structures of complex nonlinear local and nonlocal flows is essential for their analysis and modeling. In this Element the authors attempt to provide a consistent framework through Koopman theory and its related popular discrete approximation - dynamic mode decomposition (DMD). They investigate the conditions to perform appropriate linearization, dimensionality reduction and representation of flows in a highly general setting. The essential elements of this framework are Koopman eigenfunctions (KEFs) for which existence conditions are formulated. This is done by viewing the dynamic as a curve in state-space. These conditions lay the foundations for system reconstruction, global controllability, and observability for nonlinear dynamics. They examine the limitations of DMD through the analysis of Koopman theory and propose a new mode decomposition technique based on the typical time profile of the dynamics." @default.
- W4378833392 created "2023-06-01" @default.
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- W4378833392 date "2023-05-31" @default.
- W4378833392 modified "2023-10-17" @default.
- W4378833392 title "Latent Modes of Nonlinear Flows" @default.
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- W4378833392 doi "https://doi.org/10.1017/9781009323826" @default.
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