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Fast data-driven model reduction for nonlinear dynamical systems

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Main Authors: Joar, Axås, Mattia, Cenedese, George, Haller
Format: Book
Language:English
Published: Springer 2023
Subjects:
slowest nonresonant spectral submanifolds
both numerical and experimental datasets
Online Access:https://link.springer.com/article/10.1007/s11071-022-08014-0
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7966
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spelling oai:localhost:PNK-79662023-04-17T01:56:04Z Fast data-driven model reduction for nonlinear dynamical systems Joar, Axås Mattia, Cenedese George, Haller slowest nonresonant spectral submanifolds both numerical and experimental datasets CC BY We present a fast method for nonlinear data-driven model reduction of dynamical systems onto their slowest nonresonant spectral submanifolds (SSMs). While the recently proposed reduced-order modeling method SSMLearn uses implicit optimization to fit a spectral submanifold to data and reduce the dynamics to a normal form, here, we reformulate these tasks as explicit problems under certain simplifying assumptions. In addition, we provide a novel method for timelag selection when delay-embedding signals from multimodal systems. We show that our alternative approach to data-driven SSM construction yields accurate and sparse rigorous models for essentially nonlinear (or non-linearizable) dynamics on both numerical and experimental datasets. 2023-04-17T01:56:04Z 2023-04-17T01:56:04Z 2022 Book https://link.springer.com/article/10.1007/s11071-022-08014-0 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7966 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic slowest nonresonant spectral submanifolds
both numerical and experimental datasets
spellingShingle slowest nonresonant spectral submanifolds
both numerical and experimental datasets
Joar, Axås
Mattia, Cenedese
George, Haller
Fast data-driven model reduction for nonlinear dynamical systems
description CC BY
format Book
author Joar, Axås
Mattia, Cenedese
George, Haller
author_facet Joar, Axås
Mattia, Cenedese
George, Haller
author_sort Joar, Axås
title Fast data-driven model reduction for nonlinear dynamical systems
title_short Fast data-driven model reduction for nonlinear dynamical systems
title_full Fast data-driven model reduction for nonlinear dynamical systems
title_fullStr Fast data-driven model reduction for nonlinear dynamical systems
title_full_unstemmed Fast data-driven model reduction for nonlinear dynamical systems
title_sort fast data-driven model reduction for nonlinear dynamical systems
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11071-022-08014-0
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7966
_version_ 1763452657603706880
score 8.891145

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