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  Neural partial differential equations for chaotic systems

Gelbrecht, M., Boers, N., Kurths, J. (2021): Neural partial differential equations for chaotic systems. - New Journal of Physics, 23, 043005.
https://doi.org/10.1088/1367-2630/abeb90

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 ???ViewItemFull_lblCreators???:
Gelbrecht, Maximilian1, ???ENUM_CREATORROLE_AUTHOR???           
Boers, Niklas1, ???ENUM_CREATORROLE_AUTHOR???                 
Kurths, Jürgen1, ???ENUM_CREATORROLE_AUTHOR???           
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1Potsdam Institute for Climate Impact Research, Potsdam, ou_persistent13              

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 ???ViewItemFull_lblAbstract???: When predicting complex systems one typically relies on differential equation which can often be
incomplete, missing unknown infl
uences or higher order effects. By augmenting the equations with
artificial neural networks we can compensate these deficiencies. We show that this can be used to
predict paradigmatic, high-dimensional chaotic partial differential equations even when only short
and incomplete datasets are available. The forecast horizon for these high dimensional systems is
about an order of magnitude larger than the length of the training data.

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 ???ViewItemFull_lblDates???: 2021-03-032021-03-032021-04-02
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 ???ViewItemFull_lblIdentifiers???: ???ENUM_IDENTIFIERTYPE_DOI???: 10.1088/1367-2630/abeb90
???ENUM_IDENTIFIERTYPE_PIKDOMAIN???: RD4 - Complexity Science
???ENUM_IDENTIFIERTYPE_ORGANISATIONALK???: RD4 - Complexity Science
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???ENUM_IDENTIFIERTYPE_RESEARCHTK???: Nonlinear Dynamics
???ENUM_IDENTIFIERTYPE_ORGANISATIONALK???: FutureLab - Artificial Intelligence in the Anthropocene
???ENUM_IDENTIFIERTYPE_MODELMETHOD???: Machine Learning
???ENUM_IDENTIFIERTYPE_MODELMETHOD???: Nonlinear Data Analysis
???ENUM_IDENTIFIERTYPE_OATYPE???: Gold Open Access
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???ViewItemFull_lblSourceTitle???: New Journal of Physics
???ViewItemFull_lblSourceGenre???: ???ENUM_GENRE_JOURNAL???, SCI, Scopus, p3, oa
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???ENUM_IDENTIFIERTYPE_PUBLISHER???: IOP Publishing