Fast data-driven model reduction for nonlinear dynamical systems
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11071-022-08014-0 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7966 |
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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 |
8.887836 |