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Paper Citation Record · LEDGER

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics

As of 10 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2607.16529.

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pith.paper-citation-record.v1
2607.16529 v1

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Outbound references

Observation dbb14497-32c1-43c9-9649-99af58c5f41d · outbound

This paper cites Proceedings of the National Academy of Sciences113(15), 3932–3937 (2016) https://doi.org/10.1073/pnas.1517384113 https://www.pnas.org/doi/pdf/10.1073/pnas.1517384113.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Proceedings of the National Academy of Sciences113(15), 3932–3937 (2016) https://doi.org/10.1073/pnas.1517384113 https://www.pnas.org/doi/pdf/10.1073/pnas.1517384113

Reference 1

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This paper cites Proceedings of the National Academy of Sciences116(45), 22445–22451 (2019) https://doi.org/10.1073/pnas.1906995116 https://www.pnas.org/doi/pdf/10.1073/pnas.1906995116.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Proceedings of the National Academy of Sciences116(45), 22445–22451 (2019) https://doi.org/10.1073/pnas.1906995116 https://www.pnas.org/doi/pdf/10.1073/pnas.1906995116

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This paper cites Nature Communications9(1), 4950 (2018) https://doi.org/10.1038/s41467-018-07210-0.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Nature Communications9(1), 4950 (2018) https://doi.org/10.1038/s41467-018-07210-0

Reference 3

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This paper cites Neural Ordinary Differential Equations.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Neural Ordinary Differential Equations

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Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Unresolved cited work

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This paper cites Prentice Hall PTR, Upper Saddle River, NJ (1999).

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Prentice Hall PTR, Upper Saddle River, NJ (1999)

Reference 6

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This paper cites Nature Machine Intelligence1(5), 206–215 (2019) https://doi.org/10.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Nature Machine Intelligence1(5), 206–215 (2019) https://doi.org/10

Reference 7

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This paper cites Theoretical and Computational Fluid Dynamics31, 349–368 (2017) https://doi.org/10.1007/s00162-017-0432-2.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Theoretical and Computational Fluid Dynamics31, 349–368 (2017) https://doi.org/10.1007/s00162-017-0432-2

Reference 8

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This paper cites Flow, Turbulence and Combustion (2024) https://doi.org/10.1007/s10494-024-00595-7.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Flow, Turbulence and Combustion (2024) https://doi.org/10.1007/s10494-024-00595-7

Reference 9

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This paper cites Journal of Nonlinear Science33(1), 14 (2023) https: //doi.org/10.1007/s00332-022-09862-1.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Journal of Nonlinear Science33(1), 14 (2023) https: //doi.org/10.1007/s00332-022-09862-1

Reference 10

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This paper cites SIAM Review64(2), 229–340 (2022) https://doi.org/10.1137/21M1401243.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics SIAM Review64(2), 229–340 (2022) https://doi.org/10.1137/21M1401243

Reference 11

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This paper cites Journal of Fluid Mechanics641, 115–127 (2009) https://doi.org/10.1017/S0022112009992059.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Journal of Fluid Mechanics641, 115–127 (2009) https://doi.org/10.1017/S0022112009992059

Reference 12

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This paper cites Annual Review of Fluid Mechanics45, 357–378 (2013) https://doi.org/10.1146/annurev-fluid-011212-140652.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Annual Review of Fluid Mechanics45, 357–378 (2013) https://doi.org/10.1146/annurev-fluid-011212-140652

Reference 13

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This paper cites SIAM Journal on Applied Dynamical Systems24(2), 1150–1190 (2025) https://doi.org/10.1137/24M1662370.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics SIAM Journal on Applied Dynamical Systems24(2), 1150–1190 (2025) https://doi.org/10.1137/24M1662370

Reference 14

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This paper cites In: Koyejo, S., Mohamed, S., Agarwal, A., Belgrave, D., Cho, K., Oh, A.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics In: Koyejo, S., Mohamed, S., Agarwal, A., Belgrave, D., Cho, K., Oh, A

Reference 15

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This paper cites Annual Reviews in Control52, 197–212 (2021) https://doi.org/10.1016/j.arcontrol.2021.09.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Annual Reviews in Control52, 197–212 (2021) https://doi.org/10.1016/j.arcontrol.2021.09

Reference 16

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This paper cites Journal of Computational Dynamics1(2), 391–421 (2014) https://doi.org/10.3934/jcd.2014.1.391.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Journal of Computational Dynamics1(2), 391–421 (2014) https://doi.org/10.3934/jcd.2014.1.391

Reference 17

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This paper cites Journal of Nonlinear Science25(6), 1307–1346 (2015) https://doi.org/10.1007/s00332-015-9258-5.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Journal of Nonlinear Science25(6), 1307–1346 (2015) https://doi.org/10.1007/s00332-015-9258-5

Reference 18

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This paper cites SIAM Journal on Applied Dynamical Systems16(4), 2096– 2126 (2017) https://doi.org/10.1137/17M1125236.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics SIAM Journal on Applied Dynamical Systems16(4), 2096– 2126 (2017) https://doi.org/10.1137/17M1125236

Reference 19

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This paper cites Journal of Computational Dynamics2(2), 247–265 (2015) https://doi.org/10.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Journal of Computational Dynamics2(2), 247–265 (2015) https://doi.org/10

Reference 20

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This paper cites IEEE Control Systems Letters7(7) (2023) https://doi.org/10.1109/lcsys.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics IEEE Control Systems Letters7(7) (2023) https://doi.org/10.1109/lcsys

Reference 21

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This paper cites KoopAGRU: A Koopman-based Anomaly Detection in Time-Series using Gated Recurrent Units.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics KoopAGRU: A Koopman-based Anomaly Detection in Time-Series using Gated Recurrent Units

Reference 22

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This paper cites Chaos: An Interdisciplinary Journal of Nonlinear Science22(4), 047510 (2012) https://doi.org/10.1063/1.4772195 26 Positive-Allocation Companion Predictions Flores and Pascoe.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Chaos: An Interdisciplinary Journal of Nonlinear Science22(4), 047510 (2012) https://doi.org/10.1063/1.4772195 26 Positive-Allocation Companion Predictions Flores and Pascoe

Reference 23

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This paper cites IEEE Transactions on Automatic Control65(12), 5114–5129 (2020) https://doi.org/10.1109/TAC.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics IEEE Transactions on Automatic Control65(12), 5114–5129 (2020) https://doi.org/10.1109/TAC

Reference 24

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This paper cites Physica D: Nonlinear Phenomena406, 132416 (2020) https://doi.org/10.1016/j.physd.2020.132416.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Physica D: Nonlinear Phenomena406, 132416 (2020) https://doi.org/10.1016/j.physd.2020.132416

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This paper cites (eds.): The Koopman Operator in Systems and Control: Concepts, Methodologies, and Applications.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics (eds.): The Koopman Operator in Systems and Control: Concepts, Methodologies, and Applications

Reference 26

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This paper cites IEEE Transactions on Robotics (2021) https://doi.org/10.1109/ TRO.2021.3076581.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics IEEE Transactions on Robotics (2021) https://doi.org/10.1109/ TRO.2021.3076581

Reference 27

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This paper cites Communications on Pure and Applied Mathematics77(1), 221–283 (2024) https://doi.org/10.1002/cpa.22125.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Communications on Pure and Applied Mathematics77(1), 221–283 (2024) https://doi.org/10.1002/cpa.22125

Reference 28

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This paper cites Journal of Fluid Mechanics955, 21 (2023) https://doi.org/10.1017/jfm.2022.1032.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Journal of Fluid Mechanics955, 21 (2023) https://doi.org/10.1017/jfm.2022.1032

Reference 29

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This paper cites Nonlinear Dynamics41(1), 309–325 (2005) https://doi.org/10.1007/s11071-005-2824-x.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Nonlinear Dynamics41(1), 309–325 (2005) https://doi.org/10.1007/s11071-005-2824-x

Reference 30

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This paper cites Journal of Financial and Quantitative Analysis27(4), 513–537 (1992).

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Journal of Financial and Quantitative Analysis27(4), 513–537 (1992)

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Observation 8f35922c-c2c2-4d64-ad7c-cb5e9905573c · outbound

This paper cites Indices of quadratic programs over reproducing kernel Hilbert spaces for fun and profit.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Indices of quadratic programs over reproducing kernel Hilbert spaces for fun and profit

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-01T20:45:48.685558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:45:48.685558Z digest=sha256:9f8e29b6a10d392bcb83a46d5d6a3e4cbc9e38101647977b9b7f1de38a06a93f

Observation d6bf80d2-0b8d-4d19-8e8e-a0a970ae87d8 · outbound

This paper cites Soci- ety for Industrial and Applied Mathematics, Philadelphia, PA (2016).

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Soci- ety for Industrial and Applied Mathematics, Philadelphia, PA (2016)

Reference 33

Resolution
malformed identifier
no resolver link, observed 2026-08-01T20:45:48.760444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:45:48.760444Z digest=sha256:c173a41a9e4c10f3d1d09dbadfec85b03548927a81c5cd71a511aff12f6fc1de

Observation f3cc10c9-b4d1-4851-a8b4-5ede698c4a2d · outbound

This paper cites Biophys- ical Journal1(6), 445–466 (1961) https://doi.org/10.1016/S0006-3495(61)86902-6.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Biophys- ical Journal1(6), 445–466 (1961) https://doi.org/10.1016/S0006-3495(61)86902-6

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-01T20:45:48.803188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:45:48.803188Z digest=sha256:e1d742e626375ba7a7e721341dbc955fa4de00a80d0d658517654f4f13014eee

Observation 55544901-5fdd-4411-aece-19c30c371e40 · outbound

This paper cites Proceedings of the IRE50(10), 2061–2070 (1962) https://doi.org/10.1109/JRPROC.1962.288235.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Proceedings of the IRE50(10), 2061–2070 (1962) https://doi.org/10.1109/JRPROC.1962.288235

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-01T20:45:48.856335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:45:48.856335Z digest=sha256:89f57f8f0b7223c2025772c919de457ed05e6e088123a1a13048af7522e054bb

Observation 80e8631b-edcf-4371-bc1f-ee0c15e55f3e · outbound

This paper cites Pro- ceedings of the Royal Society of London.

Positive-Allocation Companion Predictors for Nonlinear Dynamics and Their Finite-Difference Diagnostics Pro- ceedings of the Royal Society of London

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-01T20:45:48.960650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:45:48.960650Z digest=sha256:1ad5f317e83bd5176c8186adb8423b874fcb0eb3993e7dffe3869aa14da37e79

Pith citing papers

No inbound Pith citation observations are available.