Latent Modes of Nonlinear Flows : A Koopman Theory Analysis Paperback / softback
by Ido (Technion - Israel Institute of Technology) Cohen, Guy (Technion - Israel Institute of Technology) Gilboa
Part of the Elements in Non-local Data Interactions: Foundations and Applications series
Paperback / softback
Description
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.
Information
-
Only a few left - usually despatched within 24 hours
- Format:Paperback / softback
- Pages:75 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:29/06/2023
- Category:
- ISBN:9781009323857
Information
-
Only a few left - usually despatched within 24 hours
- Format:Paperback / softback
- Pages:75 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:29/06/2023
- Category:
- ISBN:9781009323857
