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Paper Citation Record · LEDGER

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2512.14943.

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

pith.paper-citation-record.v1
2512.14943 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T16:00:14.401905Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

  • verified exact12
  • verified fuzzy0
  • unresolved18
  • parse uncertain0
  • malformed identifier2
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bb8d3a8a-0e9d-42b9-add1-adc515b33282 · outbound

This paper cites Gendelman, L.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Gendelman, L

Reference 1

Resolution
verified exact
doi, observed 2026-08-03T16:03:24.415960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 234b4d56-ad7f-4efa-8923-7674e81259c5 · outbound

This paper cites Vakakis, O.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Vakakis, O

Reference 2

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no resolver link, observed 2026-08-03T16:00:14.324885Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.324885Z digest=sha256:073aa6f3c13a66e787670248fedcc84d8510cf617b45ea61853eca052fd9aadd

Observation 50707faf-91d9-4956-b660-f58a7e63b3b3 · outbound

This paper cites an unresolved cited work.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Unresolved cited work

Reference 3

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no resolver link, observed 2026-08-03T16:00:14.327831Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.327831Z digest=sha256:0a9d926d149bdd39a897f86b0d6d544b247acf7367ed1ff42d283dbad57610ef

Observation 41909915-ed3b-43a2-bc45-e2f200117347 · outbound

This paper cites an unresolved cited work.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.330674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.330674Z digest=sha256:84be1a04375695f79c4a57686834260b81969e9f0cf06764bea8f6e352e8254d

Observation 9a9487bc-c813-4070-a883-ee64d58b49a7 · outbound

This paper cites an unresolved cited work.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Unresolved cited work

Reference 5

Resolution
verified exact
doi, observed 2026-08-03T16:03:24.329850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation e6034811-af44-491f-92a4-f7cc40286361 · outbound

This paper cites an unresolved cited work.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-08-03T16:03:24.233586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 69ad1441-e8e4-4b6f-b19a-a502a978b1f0 · outbound

This paper cites Domany, O.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Domany, O

Reference 7

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.338356Z digest=sha256:6ac0ae1971437d8d9f40971f32dc3be727084190e0350be231ee14496a13152f

Observation e3e7221f-91b4-472f-9990-9d5fa22bc935 · outbound

This paper cites an unresolved cited work.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-08-03T16:03:24.143906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 4036d9a6-e978-4695-a2ef-363789742ed9 · outbound

This paper cites an unresolved cited work.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Unresolved cited work

Reference 10

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unresolved
no resolver link, observed 2026-08-03T16:00:14.346053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.346053Z digest=sha256:b40fc31f45e56f06bf606fbb19dc8c85e32bac9390e88ccd62121464f73d315a

Observation ac727ecb-cfa8-4d13-908e-abb0ce72a4c8 · outbound

This paper cites Manevitch, Complex representation of dynamics of coupled nonlinear oscillators, in: L.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Manevitch, Complex representation of dynamics of coupled nonlinear oscillators, in: L

Reference 11

Resolution
malformed identifier
no resolver link, observed 2026-08-03T16:00:14.348258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.348258Z digest=sha256:d2f5a5b027f842af6158c1bc96dcdf7e0f3d5b559f2c713a012e19a6395bc5a7

Observation 7d2edee0-3481-4a55-aa29-c4504a789e0c · outbound

This paper cites Gendelman, A.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Gendelman, A

Reference 12

Resolution
verified exact
doi, observed 2026-08-03T16:03:24.017654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 2f458225-1ef3-4b89-81af-1b2d43b24bb1 · outbound

This paper cites Luongo, D.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Luongo, D

Reference 13

Resolution
verified exact
doi, observed 2026-08-03T16:03:23.946857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation ca1ec3d2-f8d3-48bf-b6b2-bc710512ed3c · outbound

This paper cites Vaurigaud, L.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Vaurigaud, L

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.355360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.355360Z digest=sha256:0dedf0ce18c4d26b68e3639b3783a9f8ce823a01f3755534871491cc76ba96ab

Observation ddeca8e9-4b6b-49b9-b3c0-01f93020bc44 · outbound

This paper cites an unresolved cited work.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Unresolved cited work

Reference 15

Resolution
verified exact
doi, observed 2026-08-03T16:03:23.842373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 14242979-79d0-47f0-8dad-cb69a583b2ac · outbound

This paper cites an unresolved cited work.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Unresolved cited work

Reference 16

Resolution
malformed identifier
no resolver link, observed 2026-08-03T16:00:14.359983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e901e33f-4abe-4da5-ad6c-339bfa084387 · outbound

This paper cites Bergeot, S.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Bergeot, S

Reference 17

Resolution
verified exact
doi, observed 2026-08-03T16:03:23.718498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation e855aa97-c8a8-45d4-ad27-1f1e1aafa88d · outbound

This paper cites Bergeot, S.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Bergeot, S

Reference 18

Resolution
verified exact
doi, observed 2026-08-03T16:03:23.626686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 210a942c-e9c0-4108-b7db-4ccc39fe8739 · outbound

This paper cites Gourc, S.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Gourc, S

Reference 19

Resolution
verified exact
doi, observed 2026-08-03T16:03:23.555472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation cf29a517-aea9-4e72-9ea1-7d9d137ed393 · outbound

This paper cites Nankali, Y.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Nankali, Y

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.369730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.369730Z digest=sha256:c0ee9b2c1599efe188c61e70526407af63d2cfb9b4eb68483ac098f289d1b6fe

Observation 378337d5-7e14-4a2e-a86b-b3dceeebdc74 · outbound

This paper cites Bergeot, S.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Bergeot, S

Reference 21

Resolution
verified exact
doi, observed 2026-08-03T16:03:23.466547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 6cb0c604-0271-4d72-a489-798f9ffd3ace · outbound

This paper cites Bergeot, S.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Bergeot, S

Reference 22

Resolution
verified exact
doi, observed 2026-08-03T16:03:23.321615Z

Source-reported events for the cited work

correction dated 2018-11-15. Source: crossref record 10.1007/s11071-018-4654-7->10.1007/s11071-018-4438-0:correction, observed 2026-07-11T02:55:47.481434+00:00. This notice travels one citation hop only.

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Observation 1a696c78-791f-4bd9-a1ad-278849c6c626 · outbound

This paper cites Bergeot, S.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Bergeot, S

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.376834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.376834Z digest=sha256:cc8edc07ef3a67b353fcc1fa85097743fe79c71d0b227f97165d99a4c288635c

Observation ca05280c-75b2-42a7-9bf9-f80a9e486411 · outbound

This paper cites Bergeot, S.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Bergeot, S

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.379097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.379097Z digest=sha256:8c6c4759731c9cb4902fd4bc2f90546b8e994f67a2fda4dbec2c7339e1c96d83

Observation bf53217c-ccda-4ed4-8422-413886c73006 · outbound

This paper cites Nayfeh, Perturbation Methods, Physics textbook, Wiley, 2008.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Nayfeh, Perturbation Methods, Physics textbook, Wiley, 2008

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.381301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.381301Z digest=sha256:6eca8574cb8d4b51be5fe31a64dbc94e009f3a2197d408942bee3a2a3faa1b9c

Observation be6b0e09-a1de-46ea-be52-a44e2f82a099 · outbound

This paper cites Jones, Geometric singular perturbation theory, in: R.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Jones, Geometric singular perturbation theory, in: R

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.383914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.383914Z digest=sha256:8f27c164d6acfab9aecec3595a50a0b32a4f1b29628527b259abfd16078c0e91

Observation ffb12554-4d85-40cb-81a3-160b7c8399ab · outbound

This paper cites Fenichel, Geometric singular perturbation theory for ordinary differential equations, Journal of Dif- ferential Equations 98 (1979) 53–98.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Fenichel, Geometric singular perturbation theory for ordinary differential equations, Journal of Dif- ferential Equations 98 (1979) 53–98

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.386168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 819448f2-3d1e-4afe-a3ba-72a28d5bbc7c · outbound

This paper cites Christian, Multiple Time Scale Dynamics, 1st Edition, Vol.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Christian, Multiple Time Scale Dynamics, 1st Edition, Vol

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.388757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation a61bc3d9-9e22-48ad-bd02-a966ddd28bbf · outbound

This paper cites Benoˆ ıt, J.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Benoˆ ıt, J

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.391114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.391114Z digest=sha256:b28771e0b2db8f0b922150c0b846236ac67ed936575db9a15170d4a0481f89e1

Observation 6084a061-9c27-41b6-928e-31a7263a55a0 · outbound

This paper cites Guckenheimer, P.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Guckenheimer, P

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.393690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.393690Z digest=sha256:3100468d8d37f6ffe0c90edaa7cb6243956ebf7759f42b80133b067cc8c6b344

Observation d4a88b68-2283-4b81-8142-7e770667a19e · outbound

This paper cites Berlund, B.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Berlund, B

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.396925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.396925Z digest=sha256:7b5c1c545b60d478528e44ae60e6122d835efeed1f7c9cea9ac48c7164161297

Observation deb078be-aabf-4d6e-b8a4-88daccd4b5ae · outbound

This paper cites Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, 2nd Edition, Texts in Applied Mathematics 2, Springer New York, 1990.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, 2nd Edition, Texts in Applied Mathematics 2, Springer New York, 1990

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.399364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.399364Z digest=sha256:6b0eefac8e1df6b6c69dcad5028e533a0b43ae02ff876256dc42b52c927ec9b1

Observation 3c84602f-326f-4768-9d6b-2678d691cd0f · outbound

This paper cites Abramowitz, I.

Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink Abramowitz, I

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-03T16:00:14.401905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.401905Z digest=sha256:c2f861cbc1f5075e13954f6e41c4807cd1f9f608faf2b3b307b6c7bba08fe557

Pith citing papers

No inbound Pith citation observations are available.