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Paper Citation Record · LEDGER

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations

As of 9 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 4 inbound Pith citation observations for arXiv:2502.10005.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2502.10005 v1

Coverage vector

measured 69 of 69 reference resolution

Typed states for the displayed outbound observations.

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measured 73 of 73 standing notices

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measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T08:27:11.993384Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-01T08:35:33.732749Z

Reference resolution

69 of 69 outbound references displayed

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External citation measurements

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Outbound references

Observation 08514b7c-ff97-4612-87b0-261ceb79aaa9 · outbound

This paper cites an unresolved cited work.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Unresolved cited work

Reference 1

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Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations non-m onomial

Reference 2

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This paper cites Sbornik: Mathematics 23(1), 12–23 (1902), http://mi.mathnet.ru/sm6683.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Sbornik: Mathematics 23(1), 12–23 (1902), http://mi.mathnet.ru/sm6683

Reference 3

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This paper cites IEEE Transa ctions on Automatic Control 53(10), 2237–2251 (2008).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations IEEE Transa ctions on Automatic Control 53(10), 2237–2251 (2008)

Reference 4

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This paper cites Journal of Computational Physics 321, 224–241 (2016).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Journal of Computational Physics 321, 224–241 (2016)

Reference 5

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This paper cites Comptes Rendus Mathematique 339(9), 667–672 (2004).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Comptes Rendus Mathematique 339(9), 667–672 (2004)

Reference 6

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This paper cites International Journal of No n-Linear Mechanics 167, 104894 (Dec 2024), http://dx.doi.org/10.1016/j.ijnonlinmec.2024.104894.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations International Journal of No n-Linear Mechanics 167, 104894 (Dec 2024), http://dx.doi.org/10.1016/j.ijnonlinmec.2024.104894

Reference 7

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This paper cites SIAM Journal on Matri x Analysis and Appli- cations 39(2), 983–1032 (2018).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations SIAM Journal on Matri x Analysis and Appli- cations 39(2), 983–1032 (2018)

Reference 8

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This paper cites SIAM Journal on Scientific Computing 37(2), B239–B260 (2015).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations SIAM Journal on Scientific Computing 37(2), B239–B260 (2015)

Reference 9

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Observation 1886d9ad-4633-4c23-8ac5-c28dd3f98155 · outbound

This paper cites Journal of Computational Physics 228(2), 516–538 (2009).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Journal of Computational Physics 228(2), 516–538 (2009)

Reference 10

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Observation 6fe32590-39e3-4977-850e-2309ef0c7b11 · outbound

This paper cites : Polynomial differential equations compute all real computable functions on computa ble compact intervals.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations : Polynomial differential equations compute all real computable functions on computa ble compact intervals

Reference 11

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This paper cites Philosophical Transactions of the Royal Society A: Mathema tical, Physical and Engineering Sciences 376(2124), 20170384 (Jun 2018), http://dx.doi.org/10.1098/rsta.2017.0384.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Philosophical Transactions of the Royal Society A: Mathema tical, Physical and Engineering Sciences 376(2124), 20170384 (Jun 2018), http://dx.doi.org/10.1098/rsta.2017.0384

Reference 12

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This paper cites SIAM Journal on Applied Dynamical Systems 23(1), 982–1016 (2024).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations SIAM Journal on Applied Dynamical Systems 23(1), 982–1016 (2024)

Reference 13

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This paper cites In: Flocchini, P., Moura, L.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: Flocchini, P., Moura, L

Reference 14

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Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Unresolved cited work

Reference 15

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This paper cites In: Finkbeiner, B., Kov´ acs, L.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: Finkbeiner, B., Kov´ acs, L

Reference 16

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This paper cites Journal of Computational Physics 242, 623– 647 (2013).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Journal of Computational Physics 242, 623– 647 (2013)

Reference 17

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Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Electron

Reference 18

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This paper cites SIAM Journal on Control and Optimization 53(1), 235–261 (2015).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations SIAM Journal on Control and Optimization 53(1), 235–261 (2015)

Reference 19

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This paper cites Journal of Differential Equ ations 269(12), 11328– 11365 (2020).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Journal of Differential Equ ations 269(12), 11328– 11365 (2020)

Reference 20

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This paper cites SIAM Journal on Scientific Computing 32(5), 2737–2764 (2010).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations SIAM Journal on Scientific Computing 32(5), 2737–2764 (2010)

Reference 21

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This paper cites Quar- terly of Applied Mathematics 9(3), 225–236 (1951).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Quar- terly of Applied Mathematics 9(3), 225–236 (1951)

Reference 22

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This paper cites In: Computational Methods in Systems Biology: 15 th International Con- ference, CMSB 2017, Darmstadt, Germany, September 27–29, 2 017, Proceedings.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: Computational Methods in Systems Biology: 15 th International Con- ference, CMSB 2017, Darmstadt, Germany, September 27–29, 2 017, Proceedings

Reference 23

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Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Unresolved cited work

Reference 24

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This paper cites In: Lecture Notes in Computer Science, pp.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: Lecture Notes in Computer Science, pp

Reference 25

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Unavailable: canonical work link unavailable.

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Observation 4a69ed71-fdd1-48af-851b-378c44edd1e4 · outbound

This paper cites Numerical Linear Algebra with Applicati ons 25(6), e2200 (2018).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Numerical Linear Algebra with Applicati ons 25(6), e2200 (2018)

Reference 26

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This paper cites IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 30(9), 1307–1320 (2011).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 30(9), 1307–1320 (2011)

Reference 27

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This paper cites Inter- national Journal for numerical methods in Engineering 119(4), 261–280 (2019).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Inter- national Journal for numerical methods in Engineering 119(4), 261–280 (2019)

Reference 28

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This paper cites Journal of C omputational Physics 445, 110631 (2021).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Journal of C omputational Physics 445, 110631 (2021)

Reference 29

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This paper cites Alexander Ostrowski's "On Dirichlet Series and Algebraic Differential Equations".

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Alexander Ostrowski's "On Dirichlet Series and Algebraic Differential Equations"

Reference 30

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This paper cites Computer Methods in Applied Mechanics and Engineering 369, 113171 (2020).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Computer Methods in Applied Mechanics and Engineering 369, 113171 (2020)

Reference 31

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This paper cites In: Abate, A., Petrov, T., Wo lf, V.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: Abate, A., Petrov, T., Wo lf, V

Reference 32

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Observation d7f44f73-2429-4cd3-a107-b6a918cce856 · outbound

This paper cites In: Cinquemani, E., Paulev´ e, L.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: Cinquemani, E., Paulev´ e, L

Reference 33

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d6dadb03-15b8-425b-9375-8ddaf5e2216d · outbound

This paper cites Physics Letters A 206(1–2), 31–37 (Oct 1995), http://dx.doi.org/10.1016/0375-9601(95)00623-B.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Physics Letters A 206(1–2), 31–37 (Oct 1995), http://dx.doi.org/10.1016/0375-9601(95)00623-B

Reference 34

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 71724af3-2d1a-4d50-811f-2158cb68a015 · outbound

This paper cites Mathematical Biosciences 140(1), 1–32 (Feb 1997), http://dx.doi.org/10.1016/S0025-5564(96)00131-9.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Mathematical Biosciences 140(1), 1–32 (Feb 1997), http://dx.doi.org/10.1016/S0025-5564(96)00131-9

Reference 35

Resolution
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doi, observed 2026-08-07T19:49:53.886330Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.528770Z digest=sha256:0e0c92d881b6c38e79d357a0daa069eba4d7bec041cd5d5c3b20f0d7aaadedf1

Observation 5793ac02-b950-4c2d-bbed-2dec9e60c20d · outbound

This paper cites Communications on Pure and Applied Mathematics 3(3), 201–230 (1950).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Communications on Pure and Applied Mathematics 3(3), 201–230 (1950)

Reference 36

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 6e00b71a-10c1-4bf1-aabc-4db6c7300458 · outbound

This paper cites In: 2018 AIAA Aerospac e Sciences Meeting.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: 2018 AIAA Aerospac e Sciences Meeting

Reference 37

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raw_fallback, observed 2026-08-07T19:49:55.180109Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.540303Z digest=sha256:740f2df517c877a7a7559d9f9a94fd7f51150c50f143f6ef98975e3941f7248a

Observation 4d8019aa-fc9b-4eab-8e08-82d4484c8e45 · outbound

This paper cites Foundations of Computational Mathematics 13(4), 479–516 (2013), http://dx.doi.org/10.1007/s10208-013-9165-9.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Foundations of Computational Mathematics 13(4), 479–516 (2013), http://dx.doi.org/10.1007/s10208-013-9165-9

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-07T19:49:53.546215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:49:53.546215Z digest=sha256:5a7b6ce4498a016c6eb59694e1882721e2c0f55a51788668d21248eb20dda213

Observation e343df5c-5259-4f2b-a0d4-99d8dbb90275 · outbound

This paper cites symmetric forms of the compressi ble Euler and Navier- Stokes equations and the second law of thermodynamics.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations symmetric forms of the compressi ble Euler and Navier- Stokes equations and the second law of thermodynamics

Reference 39

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 88de3929-2901-49b3-abc6-eb3133b4ae60 · outbound

This paper cites I n: AIAA Propulsion and Energy Forum (August 2021).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations I n: AIAA Propulsion and Energy Forum (August 2021)

Reference 40

Resolution
verified exact
doi, observed 2026-08-07T19:49:53.858034Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation cc25f1a9-32da-4db5-b4f5-b8f5e4c3b478 · outbound

This paper cites an unresolved cited work.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T19:49:55.146219Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 4a33a59e-3eff-4e9b-a501-33f4b188ed9e · outbound

This paper cites In: 6th AIAA Theoretical Fluid Mech anics Conference.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: 6th AIAA Theoretical Fluid Mech anics Conference

Reference 42

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verified fuzzy
raw_fallback, observed 2026-08-07T19:49:55.130238Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.568427Z digest=sha256:0b10f885187b81b446c925914f13c9c34dd0d07bf08e4c7c31149b9585308516

Observation 04ab76d5-f207-4633-b650-ddc07d815fee · outbound

This paper cites Journal of Mathematical Physics 22(7), 1366–1371 (1981).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Journal of Mathematical Physics 22(7), 1366–1371 (1981)

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:55.113548Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d2bcc770-41da-42c7-96eb-126452278dd9 · outbound

This paper cites Prentice-Hall , Upper Saddle River, NJ (2002).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Prentice-Hall , Upper Saddle River, NJ (2002)

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:55.096483Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 6a3be703-984d-4922-96fc-e363576d5916 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering 389, 114296 (2022).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Computer Methods in Applied Mechanics and Engineering 389, 114296 (2022)

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:55.079398Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 37c54d2c-81fa-4007-82cb-e2bd578c3766 · outbound

This paper cites Journal of Differential Equations 117(1), 67–126 (Mar 1995), http://dx.doi.org/10.1006/jdeq.1995.1049.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Journal of Differential Equations 117(1), 67–126 (Mar 1995), http://dx.doi.org/10.1006/jdeq.1995.1049

Reference 46

Resolution
verified exact
arxiv_id_nonexistent, observed 2026-08-07T19:49:54.415268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.586210Z digest=sha256:2d25cd1a5c7babb751927a61ee258960a5fb59cf8776d0e7b96c0b212a7c9967

Observation 6b05953a-5535-453f-8767-58c03c0bca70 · outbound

This paper cites AIAA Journal 57(6), 2297–2307 (2019).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations AIAA Journal 57(6), 2297–2307 (2019)

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-07T19:49:53.590724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:49:53.590724Z digest=sha256:3ae3006c4b9126ef0d4394784e1ef500857681f6373fe7eaad1ec1552c881079

Observation 97bd01e4-3398-4611-acf0-b62cd0b48af5 · outbound

This paper cites In: Beattie, C., Benner, P., Embree, M., Gugercin, S., Lefteriu, S.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: Beattie, C., Benner, P., Embree, M., Gugercin, S., Lefteriu, S

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:55.062184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.595171Z digest=sha256:4e73d7c0261cbab4ddbceba4be779eecf87eb0ad23f381ca973f06ebf206d274

Observation 9f7e4832-25b5-484f-a6eb-15c505d3a67b · outbound

This paper cites SIAM Journal on Applied Dynamical Systems 20(2), 981–996 (2021).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations SIAM Journal on Applied Dynamical Systems 20(2), 981–996 (2021)

Reference 49

Resolution
verified exact
doi, observed 2026-08-07T19:49:53.828232Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7d6f3e53-f0ef-4d22-873c-72ab6f5088b4 · outbound

This paper cites Sbornik: Mathematics 27(4), 420–423 (1911), http://mi.mathnet.ru/sm6583.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Sbornik: Mathematics 27(4), 420–423 (1911), http://mi.mathnet.ru/sm6583

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:55.044949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0d67a72b-add1-401d-a4b0-482aaed47172 · outbound

This paper cites PLOS Computational Biol ogy 18(10), e1010651 (Oct 2022), http://dx.doi.org/10.1371/journal.pcbi.1010651.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations PLOS Computational Biol ogy 18(10), e1010651 (Oct 2022), http://dx.doi.org/10.1371/journal.pcbi.1010651

Reference 51

Resolution
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doi, observed 2026-08-07T19:49:53.811145Z

Source-reported events for the cited work

correction dated 2023-04-05. Source: crossref record 10.1371/journal.pcbi.1011041->10.1371/journal.pcbi.1010651:correction, observed 2026-07-11T03:06:51.800069+00:00. This notice travels one citation hop only.

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Observation d830786f-3900-42f9-a9fd-f3034c98a222 · outbound

This paper cites In: International Symposium o n Formal Methods.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: International Symposium o n Formal Methods

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:55.027978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 9ab3e902-167c-4604-8897-6f854a5eb7f1 · outbound

This paper cites Mathem atical Programming 10(1), 147–175 (1976).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Mathem atical Programming 10(1), 147–175 (1976)

Reference 53

Resolution
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raw_fallback, observed 2026-08-07T19:49:55.008935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.619190Z digest=sha256:e9ca506afb2d1d003b05b3a4bd166e522cac09e39d6030e5183eb287eb22bfa6

Observation 53b49fdb-3504-4957-96b7-752b733ab9b0 · outbound

This paper cites Journal of the Royal Society of New Zealand 51(2), 194–211 (2021).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Journal of the Royal Society of New Zealand 51(2), 194–211 (2021)

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:54.990627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation b2d9e81b-3257-4e60-abb7-87f4422d4efe · outbound

This paper cites Computer methods in applied mechanics and engineering 200(33-36), 2562–2576 (2011).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Computer methods in applied mechanics and engineering 200(33-36), 2562–2576 (2011)

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:54.972797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 6f85f968-5aa9-490d-ae96-96c7b44f4d74 · outbound

This paper cites In: 2021 American Control Conference ( ACC).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: 2021 American Control Conference ( ACC)

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:54.954391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7898c182-4e7b-4323-ab70-20d5db0e5891 · outbound

This paper cites N.: DYVIPAC: an integrated analysis and visualisation framework to prob e multi- dimensional biological networks.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations N.: DYVIPAC: an integrated analysis and visualisation framework to prob e multi- dimensional biological networks

Reference 57

Resolution
verified exact
doi, observed 2026-08-07T19:49:53.794237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ea721ad9-98d3-4b66-9b5d-022e756d3e6e · outbound

This paper cites Internati onal Journal for Numerical Methods in Engineering 73(4), 521–543 (2008).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Internati onal Journal for Numerical Methods in Engineering 73(4), 521–543 (2008)

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:54.935786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ec9f83e7-a24b-4cbd-a16c-2b1c7fd6523d · outbound

This paper cites In: Proceedings of the 40th IEEE Conference on Deci sion and Control.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: Proceedings of the 40th IEEE Conference on Deci sion and Control

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:54.915474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 736250f1-18f3-4df6-a8af-d9cc138d68df · outbound

This paper cites Mathematische Zeitschrift 8(3–4), 241–298 (Sep 1920), http://dx.doi.org/10.1007/BF01206530.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Mathematische Zeitschrift 8(3–4), 241–298 (Sep 1920), http://dx.doi.org/10.1007/BF01206530

Reference 60

Resolution
verified exact
doi, observed 2026-08-07T19:49:53.777164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.656226Z digest=sha256:0fdd249886fbdf1b2d537ea04372115da918a5214a58a133a3b513a77f44cee4

Observation c491f8c7-a371-4930-849a-4b00c9786afe · outbound

This paper cites Physica D: Nonlinear Phenomena 406, 132401 (2020), https://doi.org/10.1016/j.physd.2020.132401.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Physica D: Nonlinear Phenomena 406, 132401 (2020), https://doi.org/10.1016/j.physd.2020.132401

Reference 61

Resolution
verified exact
arxiv_id_nonexistent, observed 2026-08-07T19:49:54.242665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.661680Z digest=sha256:f4b1cd1912491b677c12afe7853c6721736a5a7445e0b4a863407e9a35ce17e2

Observation 0ade3d7c-88dd-4ab4-8732-86127b9a2eb2 · outbound

This paper cites In: AIAA A viation an d Aeronautics Forum and Exposition.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: AIAA A viation an d Aeronautics Forum and Exposition

Reference 62

Resolution
verified exact
doi, observed 2026-08-07T19:49:53.757932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.666839Z digest=sha256:7d65a58b05bab560504a0b388e0b87056ab306d8ab3ea0a0e9042f551028293f

Observation 2f427362-cac4-4974-8f9f-99bfd63ba431 · outbound

This paper cites In: AIAA Scitech 2020 Forum.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations In: AIAA Scitech 2020 Forum

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:54.894533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.671808Z digest=sha256:7bd04e0a600fb1a3efc78f4461f4d1743c5c7be6ed3a57908ad1e2230314097b

Observation 857e5292-1bb4-4946-ba71-05239c16e0a8 · outbound

This paper cites Journal of Fluid Mechanics 641, 115–127 (2009).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Journal of Fluid Mechanics 641, 115–127 (2009)

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:54.877964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.677171Z digest=sha256:954f6d21bb5307c99754b410eba6f1a6d45b222f7e3c89f1e5aa0f465ef093c1

Observation 3ac091e0-a327-4a3c-86e5-6647423ece0f · outbound

This paper cites Mathematical Bioscie nces 87(1), 83–115 (1987) Discovering Polynomial and Quadratic Structure in Nonline ar ODEs 19.

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Mathematical Bioscie nces 87(1), 83–115 (1987) Discovering Polynomial and Quadratic Structure in Nonline ar ODEs 19

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:54.855978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 90a51c6f-f23b-4808-b3fe-a206e8739c04 · outbound

This paper cites Computer Methods in Applied Mechanics and E ngineering 404, 115836 (2023).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Computer Methods in Applied Mechanics and E ngineering 404, 115836 (2023)

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:54.838038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.687622Z digest=sha256:63e3a258104777f1fa982e4fa58ae250df634bfd71075d8974942f5eb0c5b987

Observation e76436c8-3d3a-45c0-8644-cd5ce97e9025 · outbound

This paper cites Journal of Fluid Mechanics 656, 5–28 (2010).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Journal of Fluid Mechanics 656, 5–28 (2010)

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:54.819432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.692904Z digest=sha256:5446c32dfb1b71f50555c73ebb50592813cd2c38a12c3b6bf4721f063d4a9b11

Observation c8bfa0a3-d01d-4742-96a3-8e04997f9da6 · outbound

This paper cites AIA A Journal 58(6), 2658– 2672 (2020).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations AIA A Journal 58(6), 2658– 2672 (2020)

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-07T19:49:53.698406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T19:49:53.698406Z digest=sha256:f68997864742ca7e4caa83c23865ef0b601d3ca84d818d68512f9a5487609993

Observation 21ce858d-9963-453d-9abb-e2c16ebbcd96 · outbound

This paper cites Journal of Nonlinear Science 25(6), 1307–1346 (2015).

Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations Journal of Nonlinear Science 25(6), 1307–1346 (2015)

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:49:54.799760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T19:49:53.703777Z digest=sha256:d484d5f6717e0e74ce2d3d02fbb48c019dc82fb9ca459a9085dbe55e1e7362f7

Pith citing papers

Observation 5162353c-a555-4912-8984-8665f1fa0cc7 · inbound

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation cites this paper.

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations

Reference 46

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T15:21:06.614341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-09T20:15:59.376082Z digest=sha256:35ad0a7f02d38448de243cc7361c14181bb2ce787bd41f859b127a7724deec39

Observation 24ff6c2c-380c-45c3-9307-5761299f50e5 · inbound

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation cites this paper.

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations

Reference 46

Resolution
metadata mismatch
arxiv_id, observed 2026-05-12T05:26:24.572296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-12T05:23:21.613901Z digest=sha256:fc95171b15285bc69f6145b7693fd1a28be5e83b72ea1f9c3c3a976d9fbc4f75

Observation 699e707f-49df-404f-9c33-486e2a0fae75 · inbound

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation cites this paper.

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations

Reference 59

Resolution
verified exact
arxiv_id, observed 2026-05-21T00:33:52.708290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-21T00:32:30.457078Z digest=sha256:82a518bef609574bbb7c416206610151cd204e1b476ddf720b90beef7c5917c9

Observation 7e2b169e-59c3-4a16-bb49-c525e8c9758e · inbound

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation cites this paper.

Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations

Reference 61

Resolution
verified exact
arxiv_id, observed 2026-07-01T08:35:33.734163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-01T08:27:11.993384Z digest=sha256:83e185dd1a19cdd0d48007569bb2e91a74ed8e67467d58394a5d93e9fc2d382b