Deep learning for universal linear embeddings of nonlinear dynamics

It is often advantageous to transform a strongly nonlinear system into a linear one in order to simplify its analysis for prediction and control. Here the authors combine dynamical systems with deep learning to identify these hard-to-find transformations.

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Detalles Bibliográficos
Autores principales:	Bethany Lusch, J. Nathan Kutz, Steven L. Brunton
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Science Q
Acceso en línea:	https://doaj.org/article/d72f7d260a5d4c2a905fed768a9492b8
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spelling	oai:doaj.org-article:d72f7d260a5d4c2a905fed768a9492b82021-12-02T16:57:00ZDeep learning for universal linear embeddings of nonlinear dynamics10.1038/s41467-018-07210-02041-1723https://doaj.org/article/d72f7d260a5d4c2a905fed768a9492b82018-11-01T00:00:00Zhttps://doi.org/10.1038/s41467-018-07210-0https://doaj.org/toc/2041-1723It is often advantageous to transform a strongly nonlinear system into a linear one in order to simplify its analysis for prediction and control. Here the authors combine dynamical systems with deep learning to identify these hard-to-find transformations.Bethany LuschJ. Nathan KutzSteven L. BruntonNature PortfolioarticleScienceQENNature Communications, Vol 9, Iss 1, Pp 1-10 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Science Q
spellingShingle	Science Q Bethany Lusch J. Nathan Kutz Steven L. Brunton Deep learning for universal linear embeddings of nonlinear dynamics
description	It is often advantageous to transform a strongly nonlinear system into a linear one in order to simplify its analysis for prediction and control. Here the authors combine dynamical systems with deep learning to identify these hard-to-find transformations.
format	article
author	Bethany Lusch J. Nathan Kutz Steven L. Brunton
author_facet	Bethany Lusch J. Nathan Kutz Steven L. Brunton
author_sort	Bethany Lusch
title	Deep learning for universal linear embeddings of nonlinear dynamics
title_short	Deep learning for universal linear embeddings of nonlinear dynamics
title_full	Deep learning for universal linear embeddings of nonlinear dynamics
title_fullStr	Deep learning for universal linear embeddings of nonlinear dynamics
title_full_unstemmed	Deep learning for universal linear embeddings of nonlinear dynamics
title_sort	deep learning for universal linear embeddings of nonlinear dynamics
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/d72f7d260a5d4c2a905fed768a9492b8
work_keys_str_mv	AT bethanylusch deeplearningforuniversallinearembeddingsofnonlineardynamics AT jnathankutz deeplearningforuniversallinearembeddingsofnonlineardynamics AT stevenlbrunton deeplearningforuniversallinearembeddingsofnonlineardynamics
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Deep learning for universal linear embeddings of nonlinear dynamics

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