Paper Citation Record · LEDGER

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking

As of 13 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2507.07282.

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

pith.paper-citation-record.v1
2507.07282 v3

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:53:14.056820Z

measured 44 of 44 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

44 of 44 outbound references displayed

verified exact25
verified fuzzy6
unresolved12
parse uncertain0
malformed identifier1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation db66fd5e-6528-4953-bab8-1c5394974a44 · outbound

This paper cites Phase-locking in dynamical systems and quantum mechanics.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Phase-locking in dynamical systems and quantum mechanics

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:53:18.861196Z

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.

Observation 62cd6f20-b731-46eb-afc8-5067d32d0edb · outbound

This paper cites Aminov, A.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Aminov, A

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T18:53:09.869700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fed2bbbe-3839-42b7-b655-7e1ebf6d2238 · outbound

This paper cites an unresolved cited work.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:53:19.884794Z

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

Observation e0ad4cbe-2388-4192-9b7b-0782ae22a5ff · outbound

This paper cites Bibilo and A.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Bibilo and A

Reference 4

Resolution: verified exact; doi, observed 2026-08-06T18:53:18.437439Z

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

Observation 21ced757-88e4-42be-bb2d-4498ebc9c0dc · outbound

This paper cites Buchstaber and A.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Buchstaber and A

Reference 5

Resolution: verified exact; doi, observed 2026-08-06T18:53:18.305455Z

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

Observation 4b1d4a0d-77d4-4ec4-ad18-e0df1a6932e6 · outbound

This paper cites Buchstaber and A.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Buchstaber and A

Reference 6

Resolution: verified exact; doi, observed 2026-08-06T18:53:18.173128Z

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.

Observation 175c4887-020e-435f-98b7-03360660d2d0 · outbound

This paper cites Buchstaber and S.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Buchstaber and S

Reference 8

Resolution: verified exact; doi, observed 2026-08-06T18:53:18.004472Z

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

Observation 882209e0-fb71-4c29-aead-c17b29f99241 · outbound

This paper cites Buchstaber and S.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Buchstaber and S

Reference 9

Resolution: verified exact; doi, observed 2026-08-06T18:53:17.898499Z

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.

Observation d4eb6d6c-d67d-4a90-9ead-01130a6e536b · outbound

This paper cites Buchstaber, O.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Buchstaber, O

Reference 10

Resolution: verified exact; doi, observed 2026-08-06T18:53:17.747090Z

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.

Observation fd5a9fbc-d2a1-496e-98c1-ebca1275ad67 · outbound

This paper cites Buchstaber, O.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Buchstaber, O

Reference 11

Resolution: verified exact; doi, observed 2026-08-06T18:53:17.623948Z

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.

Observation 174025d6-e323-44f4-93f0-8fdbbff3fc49 · outbound

This paper cites an unresolved cited work.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-08-06T18:53:17.500648Z

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

Observation c76e9026-f5b1-46f7-8992-f77b24510180 · outbound

This paper cites Figueiredo.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Figueiredo

Reference 13

Resolution: verified exact; doi, observed 2026-08-06T18:53:17.332676Z

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

Observation 92f0476f-e443-45a3-815e-cb7975e215d0 · outbound

This paper cites Fiziev and D.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Fiziev and D

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:53:19.760381Z

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

Observation cd6d263d-1e1d-403f-8ead-e5f985ddd767 · outbound

This paper cites an unresolved cited work.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-08-06T18:53:17.085415Z

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Observation 43ff2633-1750-492c-891a-72b8ef0ea9b5 · outbound

This paper cites Foote, M.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Foote, M

Reference 16

Resolution: verified exact; doi, observed 2026-08-06T18:53:16.929737Z

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

Observation 369de6da-c7f7-4bd3-9949-218cf32513cf · outbound

This paper cites Glutsyuk.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Glutsyuk

Reference 17

Resolution: verified exact; doi, observed 2026-08-06T18:53:16.757780Z

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

Observation 98e3a308-c825-4dd9-a601-8bcf97f7c8c9 · outbound

This paper cites Glutsyuk.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Glutsyuk

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:53:19.646308Z

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.

Observation b10deb1c-f094-48c2-b946-aa766d7e938f · outbound

This paper cites Glutsyuk and L.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Glutsyuk and L

Reference 19

Resolution: verified exact; doi, observed 2026-08-06T18:53:16.595009Z

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.

Observation 634b3aa8-bbbd-49ce-b1b5-48293d6eddde · outbound

This paper cites Glutsyuk, V.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Glutsyuk, V

Reference 20

Resolution: verified exact; doi, observed 2026-08-06T18:53:16.488356Z

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.

Observation 519d4b47-3316-4655-9b8b-fc06e0f4458a · outbound

This paper cites Gr¨ uner and A.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Gr¨ uner and A

Reference 21

Resolution: verified exact; doi, observed 2026-08-06T18:53:16.215025Z

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.

Observation 321129cb-c885-4f3c-bf8b-9b0961cae17d · outbound

This paper cites an unresolved cited work.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T18:53:12.330900Z

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Unavailable: canonical work link unavailable.

Observation cfbb05f1-4c1f-4e59-8ff5-57d218ed91ea · outbound

This paper cites Horta¸ csu.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Horta¸ csu

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T18:53:12.408785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ac764af-9a61-493c-84ca-1c8bb4efdd9a · outbound

This paper cites Ilyashenko, D.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Ilyashenko, D

Reference 24

Resolution: verified exact; doi, observed 2026-08-06T18:53:15.920309Z

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.

Observation 3fd004cb-0a21-42b8-848e-28b23384c1ef · outbound

This paper cites Ishkhanyan.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Ishkhanyan

Reference 25

Resolution: verified exact; doi, observed 2026-08-06T18:53:15.638723Z

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.

Observation ea7017ec-9e17-49b2-94a9-3d2da64651d3 · outbound

This paper cites Klimenko and O.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Klimenko and O

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:53:19.523398Z

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.

Observation 61eb9481-abaf-4dc3-bbcb-f4d35e8758d1 · outbound

This paper cites Likharev, K.K.; Ulrikh.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Likharev, K.K.; Ulrikh

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:53:19.383852Z

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.

Observation b5fc64d3-a9e8-4f08-9e99-b1f3aaeeccb3 · outbound

This paper cites Likharev.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Likharev

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:53:19.231124Z

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

Observation d4e54e87-5acf-4756-86cd-83b45f6ab062 · outbound

This paper cites Likharev.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Likharev

Reference 29

Resolution: verified exact; doi, observed 2026-08-06T18:53:15.362389Z

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.

Observation e9f7079f-b07d-4597-9fda-fc30b1062fce · outbound

This paper cites Likharev, K.K.; Semenov.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Likharev, K.K.; Semenov

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:53:19.112513Z

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.

Observation 00cfa0fe-83c8-4408-9e68-26979d23a1b7 · outbound

This paper cites Lisovyy and A.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Lisovyy and A

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T18:53:13.089799Z

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Unavailable: canonical work link unavailable.

Observation 8d2b9fd6-0ea6-4592-bf2c-0f49a50e5eb2 · outbound

This paper cites Litvinov, S.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Litvinov, S

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T18:53:13.174501Z

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Observation 199eeaf8-54ac-4ea2-a0f5-fc907028a4c3 · outbound

This paper cites an unresolved cited work.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Unresolved cited work

Reference 33

Resolution: verified exact; doi, observed 2026-08-06T18:53:15.152609Z

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

Observation 41bd018e-77f8-4f40-a94e-5a5a22e65856 · outbound

This paper cites Mishra, A.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Mishra, A

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T18:53:13.323673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f1408e3-d972-4c65-bfb0-aaa4b076fc89 · outbound

This paper cites Panghotra, B.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Panghotra, B

Reference 35

Resolution: verified exact; doi, observed 2026-08-06T18:53:14.863381Z

Source-reported events for the cited work

correction dated 2020-09-22. Source: crossref record 10.1038/s42005-020-00437-8->10.1038/s42005-020-0315-5:correction, observed 2026-07-11T03:06:21.482339+00:00. This notice travels one citation hop only.

Observation 2c8aa6cb-4144-4807-aa1f-c7195c97ea64 · outbound

This paper cites Pikovsky, M.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Pikovsky, M

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-06T18:53:13.487848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0522eba1-2388-4f31-8bef-e2aff7edd002 · outbound

This paper cites Reichhardt and J.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Reichhardt and J

Reference 37

Resolution: verified exact; doi, observed 2026-08-06T18:53:14.617067Z

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.

Observation f468241f-e744-42f4-a4d5-a46d13d8538a · outbound

This paper cites an unresolved cited work.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Unresolved cited work

Reference 38

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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.

Observation e4fdd8c7-072c-4676-84fa-d14df675f870 · outbound

This paper cites an unresolved cited work.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-06T18:53:13.774381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5098fbbd-7077-4712-8b2c-3e62469bef18 · outbound

This paper cites Slavyanov and W.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Slavyanov and W

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T18:53:13.852374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68702672-2692-43b9-9c53-cac550885e68 · outbound

This paper cites The modelling of a Josephson junction and Heun polynomials.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking The modelling of a Josephson junction and Heun polynomials

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:53:18.581982Z

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.

Observation a74230d6-36cb-4439-b712-9b48d1fb0d7a · outbound

This paper cites an unresolved cited work.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:53:18.976672Z

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.

Observation b0176d71-2551-4e5c-b389-412c8024b6a4 · outbound

This paper cites an unresolved cited work.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking Unresolved cited work

Reference 250

Resolution: unresolved; no resolver link, observed 2026-08-06T18:53:10.116364Z

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Unavailable: canonical work link unavailable.

Observation 2689c13a-e9f7-4205-af64-4b2b34063b90 · outbound

This paper cites URL https://doi.org/10.1007/BF00683738.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking URL https://doi.org/10.1007/BF00683738

Reference 1982

Resolution: verified exact; doi, observed 2026-08-06T18:53:14.168488Z

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.

Observation 28aea564-71fb-4def-a427-4609a2a36652 · outbound

This paper cites URL https://doi.org/10.1103/PhysRevD.

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking URL https://doi.org/10.1103/PhysRevD

Reference 2011

Resolution: verified exact; doi, observed 2026-08-06T18:53:17.211267Z

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.

Pith citing papers

No inbound Pith citation observations are available.