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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 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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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Unavailable: canonical work link unavailable.

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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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:00:14.327831Z digest=sha256:207440ad134975b55a4efafd18d9629c05be52dfef1fb841190e0f6dae4986d0

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
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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=sha256:6675466b33b8d8cda63796280a3c2dd4ceaa3a6fa9de8228d4d3ff64f27f927e

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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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.

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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 2026-08-20T06:33:59.587034+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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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:c5abeee099bfc5a3ceb00b50f300c0c5f1dcc926930773a0cb72a06ef691a49e

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

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malformed identifier
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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=sha256:955d734f3a4aa66f39046dbaa45f9949e866fbb245734cb5beb0422f8ba30f6a

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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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.

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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 2026-08-20T06:33:59.587034+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.

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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=sha256:9154c4a520751bfe6ff94d6fb4ed4c6f098218e234f1136e6a7b9a38b5f8d419

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=sha256:52ca0e991dbb7d589a5d4a41aa2d2bcb2e2e107efd3ac661c072e175a598c5a7

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.

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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:f6521daf2ef6e0650cfaad2c3c557ee0e589708354612e996f146a6096d50ac6

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:db5e23331ff85c6ab6c929da2f42c9d1dfb4fe162f32d2be88b7e61f2a1c6115

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:dadd42c25c0c9e6e1b9e97aa20f6864941ddafc3d3918d6c15d85413cd075c90

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=sha256:03c785523a5af689e8bc61a1587d99ffed22567458fa80b3b4124fd69f23740f

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:cd4de056dc1585ecc20cafc22995e2a8600f6be6ec8c2157ef6219713e6d637d

Pith citing papers

No inbound Pith citation observations are available.