Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T10:07:34.694488Z
Paper Citation Record · LEDGER
As of 17 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 0 inbound Pith citation observations for arXiv:1909.00076.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T10:07:34.694488Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
57 of 57 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 1464a6d5-9367-4f90-92e1-3f83ff7619c4 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Deterministic nonperiodic flow,
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6ef3403e-3e9d-4dce-90e7-41e4cf5d158b · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings ˆU ∈ Rnq×r, ˆS ∈ Rr×r and ˆV∈ R(N−q)×r, and [X F]T = ˜U˜S˜V∗ with the truncation value selected as p, so that ˜U∈ R(n+n′)q×p, ˜S∈ Rp×p and ˜V∈ R(N−q)×p
Reference 2
Source-reported events for the cited work
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Observation 73daed3d-f81b-465e-bbd2-382ba21683e1 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Unresolved cited work
Reference 3
Source-reported events for the cited work
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Observation 45543326-3893-4c31-8b33-23e079894a85 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Long-term research challenges in wind energy - A research agenda by the European academy of wind energy,
Reference 4
Source-reported events for the cited work
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Observation af4cee4d-38ff-4f40-bdba-a59f42ceebdf · outbound
Reference 5
Source-reported events for the cited work
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Observation e402e289-edd5-45a9-bbfe-17a2bb47e5a3 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Challenges in climate science and contemporary applied mathematics,
Reference 6
Source-reported events for the cited work
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Observation dbaa2b51-63aa-4e80-97e8-70796f0c0a60 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings The quiet revolution of numerical weather prediction,
Reference 7
Source-reported events for the cited work
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Observation 8f222c87-1188-46cd-92a1-de114696892a · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Model error, information barriers, state estimation and prediction in complex multiscale systems,
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 17409448-ed8d-4361-bb7f-63eef77b25b4 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings A variational approach to probing extreme events in turbu- lent dynamical systems,
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3fa13e5d-6cf3-4311-8741-8bb17974b0c0 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings The interpretation of short climate records, with comments on the North Atlantic and Southern Oscillations,
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f4865fdb-565e-4333-b890-88341df96b44 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Van den Dool, Empirical methods in short-term climate prediction (Oxford University Press, 2007)
Reference 11
Source-reported events for the cited work
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Observation de698f90-7fdb-4413-a05e-2ce6a3c37e58 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings The skill of atmospheric linear inverse models in hindcasting the Madden–Julian Oscillation,
Reference 12
Source-reported events for the cited work
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Observation be76a75e-88ae-4f8f-8808-bcb69fc36738 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Data-driven spectral decomposition and forecasting of ergodic dynamical sys- tems,
Reference 13
Source-reported events for the cited work
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Observation efab9e51-4136-4aea-82fd-4af6e0d7bd76 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Data-driven prediction strategies for low-frequency patterns of North Pacific climate variability,
Reference 14
Source-reported events for the cited work
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Observation 047f3fca-b1d1-408c-922b-c5d0dda300e3 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Data-driven reduced modelling of turbulent Rayleigh- B´ enard convection using dmd-enhanced fluctuation-dissipation theorem,
Reference 15
Source-reported events for the cited work
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Observation 37e78af1-3d2b-4d41-b575-e1c18a1bf725 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings An ensemble quadratic echo state network for non-linear spatio-temporal forecasting,
Reference 16
Source-reported events for the cited work
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Observation e36a1d65-2989-4d91-abbf-82c9001083af · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Long-term Forecasting using Higher Order Tensor RNNs
Reference 17
Source-reported events for the cited work
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Observation 50a4ce34-6860-4641-b6cb-dc05f64080d2 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Data-driven fore- casting of high-dimensional chaotic systems with long short-term memory networks,
Reference 18
Source-reported events for the cited work
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Observation 46a29765-79bc-41ac-8553-c2319ba33ecb · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Model-free prediction of large spatiotem- porally chaotic systems from data: A reservoir computing approach,
Reference 19
Source-reported events for the cited work
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Observation 1c5c9fa6-0726-4dec-82d5-d4ed5fa018bc · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Physics-informed neural networks: A deep learning framework for learning forward and inverse problems involving nonlinear partial differential equations,
Reference 20
Source-reported events for the cited work
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Observation faa6b0c4-2b88-4a4d-9922-791e2ddfd389 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Compressed Convolutional LSTM: An Efficient Deep Learning framework to Model High Fidelity 3D Turbulence
Reference 21
Source-reported events for the cited work
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Observation 118e00e6-163b-4371-96c4-5c04fd71075f · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Deep state networks with uncertainty quantification for spatio-temporal forecasting,
Reference 22
Source-reported events for the cited work
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Observation a2d4b553-d67b-4683-a39d-4cbe92cbe797 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Data-driven prediction of a multi-scale Lorenz 96 chaotic system using deep learning methods: Reservoir computing, ANN, and RNN-LSTM
Reference 23
Source-reported events for the cited work
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Observation 3fa49968-40dd-435e-a11d-b75a33d15030 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Hamiltonian systems and transformation in Hilbert space,
Reference 24
Source-reported events for the cited work
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Observation a7d988db-e6a7-42cd-8b3b-a4cbba7a0ee5 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Spectral properties of dynamical systems, model reduction and decompositions,
Reference 25
Source-reported events for the cited work
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Observation 2b7b8170-b2b0-40a4-b4e1-03985f7197ac · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Analysis of fluid flows via spectral properties of the Koopman operator,
Reference 26
Source-reported events for the cited work
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Observation 642faa99-16de-495f-ba2d-d13e2aeae254 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Dynamic mode decomposition of numerical and experimental data,
Reference 27
Source-reported events for the cited work
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Observation 9496c846-5945-4678-99fe-6fa695f0b71d · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Spectral analysis of nonlinear flows,
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Source-reported events for the cited work
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Observation b1b05904-327c-4fda-8f0a-903e36daa6ba · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings On dynamic mode decomposition: Theory and applications,
Reference 29
Source-reported events for the cited work
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Observation 56e437a4-2cef-4a5b-9df1-c09738811fa4 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings A data–driven approximation of the Koopman operator: Extending dynamic mode decomposition,
Reference 30
Source-reported events for the cited work
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Observation 3bc46067-19ec-425c-8ec3-d50a7f40a36a · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the Koopman operator,
Reference 31
Source-reported events for the cited work
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Observation eaf0a33a-278e-40a9-a64a-5273aa2e9cf3 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Study of dynamics in post-transient flows using Koopman mode decomposition,
Reference 32
Source-reported events for the cited work
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Observation f6d0da0a-113d-4848-8d60-f6156247cbb1 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings On convergence of extended dynamic mode decomposition to the Koopman operator,
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Source-reported events for the cited work
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A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Model reduction for flow analysis and control,
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Source-reported events for the cited work
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Observation 93cd01d4-c435-4f00-b6bc-a1d6ddd79b9b · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Detecting strange attractors in turbulence,
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Source-reported events for the cited work
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Observation 7c5acbb1-34d7-48a0-9e60-4c54d2f457ee · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Linear predictors for nonlinear dynamical systems: Koopman oper- ator meets model predictive control,
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Observation 06e5b2b4-74aa-42e5-9c67-0e6d490e64b5 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings A data-driven Koopman model predictive control framework for nonlinear flows
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Source-reported events for the cited work
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Observation dada5588-3ec0-45e2-b109-6385cbbf5fb2 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Nonlinear laplacian spectral analysis for time series with intermittency and low-frequency variability,
Reference 38
Source-reported events for the cited work
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Observation 11348528-818a-41a6-8116-856efa31bcec · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Chaos as an intermittently forced linear system,
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Source-reported events for the cited work
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A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Discovering governing equations from data by sparse identification of nonlinear dynamical systems,
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A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Matrix pencils in time and frequency domain system identification,
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A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Model reduction of bilinear systems in the Loewner framework,
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A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings On the Loewner framework for model reduction of Burgers’ equation,
Reference 43
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Observation c14729d0-589c-4194-a336-32dc74743e37 · outbound
Reference 44
Source-reported events for the cited work
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A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Clustering of Series via Dynamic Mode Decomposition and the Matrix Pencil Method
Reference 45
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Observation 07f55ee1-9775-4dd0-a87c-955b5091d71f · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Dynamic mode decomposition with control,
Reference 46
Source-reported events for the cited work
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Observation c187e978-d49b-4b21-a725-b8dfe93d145b · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Determining Lyapunov exponents from a time series,
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2a27c3b0-dac2-403c-8f12-143a86124e1b · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Statistically accurate low-order models for uncertainty quantifi- cation in turbulent dynamical systems,
Reference 48
Source-reported events for the cited work
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Observation af49bcaa-5e34-4f11-941b-c468b2cd0e75 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Introduction to turbulent dynamical systems for complex systems,
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0a6ad61e-627f-427a-b62c-4ac2062f59c2 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Low-dimensional reduced-order models for statistical response and uncertainty quantification: Two-layer baroclinic turbulence,
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b4aa50c1-0b4e-4bad-9b63-a96d6af4142c · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Unresolved cited work
Reference 51
Source-reported events for the cited work
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Observation 9a06f893-115c-47b1-a945-b2d988ef8192 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Predictability - a problem partly solved,
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5173e43a-43c1-4799-9e99-f17439fb3a88 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method,
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1ae8c3c2-0b11-490d-b959-ccfb277afafd · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Driven cavity flows by efficient numerical techniques,
Reference 54
Source-reported events for the cited work
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Observation 17f3f084-9cf6-4ee1-a456-8b552462e2c4 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings A novel fully implicit finite volume method applied to the lid- driven cavity problempart I: High Reynolds number fow calculations,
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 22e9ed92-736e-4f4f-996f-1b9daf2038fa · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Linearly recurrent autoencoder networks for learning dynamics,
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d3c9cc89-c3c1-41e0-9ace-88b94efb7918 · outbound
A Koopman-based framework for forecasting the spatiotemporal evolution of chaotic dynamics with nonlinearities modeled as exogenous forcings Singular Value Decomposition (svd) and Principal Component Analysis (PCA),
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
No inbound Pith citation observations are available.