Discovery of Nonlinear Multiscale Systems: Sampling Strategies and Embeddings

DOI10.1137/18M1188227zbMath1474.65476arXiv1805.07411OpenAlexW2803477776WikidataQ128429737 ScholiaQ128429737MaRDI QIDQ5382442

Steven L. Brunton, Kathleen Champion, J. Nathan Kutz

Publication date: 14 June 2019

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07411

zbMATH Keywords

dynamical systemsHankel matrixsparse regressionmultiscale dynamicstime-delay embeddingKoopman theorymodel discovery

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Time series analysis of dynamical systems (37M10) Numerical problems in dynamical systems (65P99) Special matrices (15B99)

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Uses Software

• ImageNet
• VAMPnets
• HODMD
• AlexNet

Cites Work

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