Latent Modes of Nonlinear Flows
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Sprache:Englisch
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Produktdetails
Format
Kopierschutz
Ja
Family Sharing
Ja
Text-to-Speech
Nein
Erscheinungsdatum
31.05.2023
Verlag
Cambridge University PressSeitenzahl
(Printausgabe)
Dateigröße
10186 KB
Sprache
Englisch
EAN
9781009323864
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.
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