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Latent Modes of Nonlinear Flows

Latent Modes of Nonlinear Flows

A Koopman Theory Analysis

Ido Cohen, Guy Gilboa

Cambridge University Press
Publication date : 2023-06-29

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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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About the book

Author

Ido Cohen , Guy Gilboa

Imprint

Cambridge University Press

Collection

n.c

Publication date

2023-06-29

Pages

n.c

Print ISBN

9781009323857

Language

English

Ebook informations

EAN PDF

9781009323864

Price

£18.99

Copy count 0

Print count 0

File size 10189 Ko

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About author(s)

Ido Cohen

Guy Gilboa

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