Latent Modes of Nonlinear Flows

ISBN-13: 9781009323857 / Miękka / 2023 / 75 str.

Guy (Technion - Israel Institute of Technology) Gilboa

Opis

Investigates new models of nonlinear flows, how they can be approximated and linearized, based on Koopman theory analysis.

Spis treści

1. Introduction; 2. Preliminaries; 3. Motivation for This Work; 4. Koopman Eigenfunctions and Modes; 5. Koopman Theory for Partial Differential Equation; 6. Mode Decomposition Based on Time State-Space Mapping; 7. Examples; 8. Conclusion; List of Symbols; List of Abbreviations; Appendix A Extended Dynamic Mode Decomposition Induced from Inverse Mapping; Appendix B Sparse Representation; References.