Latent Modes of Nonlinear Flows: A Koopman Theory Analysis (Elements in Non-local Data Interactions: Foundations and Applications) - Softcover

Cohen, Ido

Softcover

ISBN 10: 1009323857 ISBN 13: 9781009323857

Verlag: Cambridge University Press, 2023

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Cambridge University Press
• Erscheinungsdatum: 2023
• Sprache: Englisch
• ISBN 10: 1009323857
• ISBN 13: 9781009323857
• Einband: Tapa blanda
• Anzahl der Seiten: 64
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Frankreich