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Paper Citation Record · LEDGER

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise

As of 11 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 0 inbound Pith citation observations for arXiv:2501.02291.

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

pith.paper-citation-record.v1
2501.02291 v1

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:22:00.655315Z

measured 65 of 65 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

65 of 65 outbound references displayed

  • verified exact40
  • verified fuzzy5
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c80df10f-1088-496a-9051-40a125a8029e · outbound

This paper cites H.\ Strogatz, ``Integrability of a globally coupled oscillator array,'' Phys.\ Rev.\ Lett.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise H.\ Strogatz, ``Integrability of a globally coupled oscillator array,'' Phys.\ Rev.\ Lett

Reference 1

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source=arxiv_source observed=2026-08-10T22:22:00.438670Z digest=sha256:7618b6df87b37259af6119d1c105a7fde7c025f37b47a9b953ad47538fcfd5ba

Observation 7898478f-9dd5-4e6f-b699-36edaa9d4d8b · outbound

This paper cites H.\ Strogatz, ``Constants of motion for superconducting Josephson arrays,'' Phys.\ D 74 (3--4), 197--253 (1994).\\ https://doi.org/10.1016/0167-2789(94)90196-1.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise H.\ Strogatz, ``Constants of motion for superconducting Josephson arrays,'' Phys.\ D 74 (3--4), 197--253 (1994).\\ https://doi.org/10.1016/0167-2789(94)90196-1

Reference 2

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source=arxiv_source observed=2026-08-10T22:22:00.443044Z digest=sha256:d9f0e7f7f29a3d56c4dde6be92690fbdc32c269d820c688098e31e2aec79a674

Observation 6cf5c292-be95-4dd7-a2d8-7b44c3b44cd4 · outbound

This paper cites 101 (26), 264103 (2008).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise 101 (26), 264103 (2008)

Reference 3

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doi, observed 2026-08-10T22:22:01.289867Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f8d8c6e5-9ad9-49ab-8859-49c3e9c5aa2c · outbound

This paper cites A.\ Marvel, R.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise A.\ Marvel, R

Reference 4

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no resolver link, observed 2026-08-10T22:22:00.450986Z

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source=arxiv_source observed=2026-08-10T22:22:00.450986Z digest=sha256:dbd6ae6da05512833261344743c43a67c94746a7d6e0a45e92f29b4a3dcf5170

Observation a8c34bc6-20be-4bd5-ab2b-68e3e0275e34 · outbound

This paper cites M.\ Antonsen, ``Low dimensional behavior of large systems of globally coupled oscillators,'' Chaos 18 (3), 037113 (2008).\\ https://doi.org/10.1063/1.2930766.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise M.\ Antonsen, ``Low dimensional behavior of large systems of globally coupled oscillators,'' Chaos 18 (3), 037113 (2008).\\ https://doi.org/10.1063/1.2930766

Reference 5

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source=arxiv_source observed=2026-08-10T22:22:00.454615Z digest=sha256:c1b97230044708ff032d79e6a80e4cebe10dfec3a420f72a27d41be3de43f183

Observation 7129abcb-d462-448f-866f-b2522e00d80f · outbound

This paper cites M.\ Antonsen, ``Long time evolution of phase oscillator systems,'' Chaos 19 (2), 023117 (2009).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise M.\ Antonsen, ``Long time evolution of phase oscillator systems,'' Chaos 19 (2), 023117 (2009)

Reference 6

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doi, observed 2026-08-10T22:22:01.266371Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-10T22:22:00.458313Z digest=sha256:9d9041a7b190414a391c67481690592df527d988f1667bdc437f9819dcd100c3

Observation ddf7b5b2-d076-47ad-80e1-5a391f002fbc · outbound

This paper cites M.\ Abrams, R.\ Mirollo, S.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise M.\ Abrams, R.\ Mirollo, S

Reference 7

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source=arxiv_source observed=2026-08-10T22:22:00.462002Z digest=sha256:9fc8aaea3a49c6d3966ac7934731308a8fad59bc53e2cc50f0169acb2388a5c9

Observation 78f13d35-ceb3-45ee-bf2b-03781e227792 · outbound

This paper cites H.\ Nagai and H.\ Kori, ``Noise-induced synchronization of a large population of globally coupled nonidentical oscillators,'' Phys.\ Rev.\ E 81 (6), 065202 (2010).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise H.\ Nagai and H.\ Kori, ``Noise-induced synchronization of a large population of globally coupled nonidentical oscillators,'' Phys.\ Rev.\ E 81 (6), 065202 (2010)

Reference 8

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source=arxiv_source observed=2026-08-10T22:22:00.465364Z digest=sha256:01bfc939abf16f237f674a1c3e651e63a09b06f7c70139059776757de3c3bf1f

Observation dfb7d8fd-5540-4f29-a45d-0b56df11781e · outbound

This paper cites A.\ Matias, and P.\ Colet, ``Global dynamics of oscillator populations under common noise,'' EPL 99 (2), 20006 (2012).\\ https://doi.org/10.1209/0295-5075/99/20006.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise A.\ Matias, and P.\ Colet, ``Global dynamics of oscillator populations under common noise,'' EPL 99 (2), 20006 (2012).\\ https://doi.org/10.1209/0295-5075/99/20006

Reference 9

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source=arxiv_source observed=2026-08-10T22:22:00.468795Z digest=sha256:1898acc7509ffc5172ecb0890e7823802e2666c30f1ec780b4354f4a6d99939a

Observation 73d0f77f-0350-4aff-a2ac-d510f900efb5 · outbound

This paper cites V.\ Pimenova, D.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise V.\ Pimenova, D

Reference 10

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correction dated 2023-05-23. Source: crossref record 10.1038/s41598-023-35268-4->10.1038/srep38518:correction, observed 2026-07-11T03:04:59.870479+00:00. This notice travels one citation hop only.

source=arxiv_source observed=2026-08-10T22:22:00.472138Z digest=sha256:e7ae82c41f19aafe9e836d5f30467d8f0500efe54c124826eb2925fc36ca1237

Observation 88fbcce0-ca21-49ed-b074-c263f6cf4db3 · outbound

This paper cites V.\ Dolmatova, D.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise V.\ Dolmatova, D

Reference 11

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source=arxiv_source observed=2026-08-10T22:22:00.475320Z digest=sha256:234938514bbe117fef5bdb0b8c4c3fd794869cf90bc0627ec4a5bcf6317ebf75

Observation ce5ff17b-a82c-4699-afa9-d05eb4fc04ac · outbound

This paper cites E.\ Omel'chenko and E.\ Knobloch, ``Chimerapedia: coherence--in\-co\-her\-ence patterns in one, two and three dimensions,'' New J.\ Phys.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise E.\ Omel'chenko and E.\ Knobloch, ``Chimerapedia: coherence--in\-co\-her\-ence patterns in one, two and three dimensions,'' New J.\ Phys

Reference 12

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Observation 068e49fd-f28d-4c21-a9ec-dd5146db6ac6 · outbound

This paper cites Klinshov and I.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Klinshov and I

Reference 13

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source=arxiv_source observed=2026-08-10T22:22:00.482051Z digest=sha256:3798356d3b9d54f98f25f7724e6eb0534dc2e8b6fb0f65afa27a03ab270d057f

Observation 2a7929ee-84ff-43e5-990c-1b3470980c7a · outbound

This paper cites Yasmine, Y.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Yasmine, Y

Reference 14

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.485428Z digest=sha256:3c71d102e684aae46bc5831a0b02fe937cc4ab3599a1852d38429bf481e71a68

Observation 12ba94c9-4b4a-4814-8cc2-069d208b2e16 · outbound

This paper cites an unresolved cited work.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.488829Z digest=sha256:54b1be10526f998b8e8d95cc395df5db480c7405eab61212027637e6c3f1ccb6

Observation 0608270d-423c-4a1d-81dd-de0fce6e8834 · outbound

This paper cites R.\ Laing, ``Exact neural fields incorporating gap junctions,'' SIAM J.\ Appl.\ Dyn.\ Syst.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise R.\ Laing, ``Exact neural fields incorporating gap junctions,'' SIAM J.\ Appl.\ Dyn.\ Syst

Reference 16

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source=arxiv_source observed=2026-08-10T22:22:00.492436Z digest=sha256:119956bb23ebe708bdc4af7583bc10325531349026c2d123b092c940cee5c5f9

Observation 12e7a627-d046-4d0c-ada0-4eef32a1f2cd · outbound

This paper cites https://doi.org/10.1103/PhysRevE.99.012313.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise https://doi.org/10.1103/PhysRevE.99.012313

Reference 17

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source=arxiv_source observed=2026-08-10T22:22:00.495883Z digest=sha256:e3b30ba052eba63ad53fb8d6412f2b2f9a915731a3c703962bfe8be4ef1943bc

Observation 77ed5dee-cd9a-4919-a01d-925a40068294 · outbound

This paper cites 9 , 1128224 (2023).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise 9 , 1128224 (2023)

Reference 18

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source=arxiv_source observed=2026-08-10T22:22:00.499287Z digest=sha256:c16b9a377e296700e2bf4858aa3e819a3c1dfdf13e6364095ec14ead1eb501ae

Observation 61df5758-f1d4-4fa5-a658-fd29d147ed1d · outbound

This paper cites 121 (12), 128301 (2018).\\ https://doi.org/10.1103/PhysRevLett.121.128301.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise 121 (12), 128301 (2018).\\ https://doi.org/10.1103/PhysRevLett.121.128301

Reference 19

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 460b357b-cb59-4a32-88d1-00aaa23e1fdd · outbound

This paper cites an unresolved cited work.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Unresolved cited work

Reference 20

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verified exact
doi, observed 2026-08-10T22:22:01.134425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.505967Z digest=sha256:d07fd042ef809bc128e64bf901e73804ad23dbd6f3ff0d78b57bf26a44df5adf

Observation 93a261a7-3e47-433d-b41f-2a3e4b8eca18 · outbound

This paper cites an unresolved cited work.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Unresolved cited work

Reference 21

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source=arxiv_source observed=2026-08-10T22:22:00.509203Z digest=sha256:e4c0d2179bf0a2c6f5aaa65fd23a1847f690dd2b0d4188db1bf1afb3897c3dc6

Observation e692195a-9772-424f-bf43-8b01b7faf10f · outbound

This paper cites an unresolved cited work.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Unresolved cited work

Reference 22

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.512656Z digest=sha256:0fa3b67128b50c298b4fd158772cdb2a9d653036c0022ac7b86fa5654bd1210d

Observation d3c86bc9-9851-4800-90bc-2036c7473400 · outbound

This paper cites di Volo, M.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise di Volo, M

Reference 23

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.987513Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.515938Z digest=sha256:25444f0791e9a11e24e51519294309f5e6ea175765b25102b96ece4407fbbd3d

Observation d34b8d41-e1ea-48c8-8f37-1c18b35c9631 · outbound

This paper cites 11 , 12960 (2021).\\ https://doi.org/10.1038/s41598-021-91389-8.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise 11 , 12960 (2021).\\ https://doi.org/10.1038/s41598-021-91389-8

Reference 24

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verified exact
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.519123Z digest=sha256:df41f4535b1547bf48f059981d53fd92a6d707ae3d8edffc1f4640138531056d

Observation 72895b9c-8bac-44d6-860e-6b7519356638 · outbound

This paper cites an unresolved cited work.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Unresolved cited work

Reference 25

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doi, observed 2026-08-10T22:22:00.965756Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.522358Z digest=sha256:c970f52caba33d7fa62b3c048bf406da58ee487bfde9b8497b162e77ee7887e3

Observation e2eb9f5e-49ac-4a34-af12-b8364db1521a · outbound

This paper cites an unresolved cited work.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Unresolved cited work

Reference 26

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.955097Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.525606Z digest=sha256:9e40e8ac67b9c4598fcad071d765ad49a92d36bc170c085af702e61b8129febe

Observation 0724bc4a-fdb1-48d0-befd-391160e5f11f · outbound

This paper cites C.\ Tuckwell, Introduction to theoretical neurobiology: nonlinear and stochastic theories , Vol.\ 2 (Cambridge University Press, 1988).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise C.\ Tuckwell, Introduction to theoretical neurobiology: nonlinear and stochastic theories , Vol.\ 2 (Cambridge University Press, 1988)

Reference 27

Resolution
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raw_fallback, observed 2026-08-10T22:22:01.754873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.528934Z digest=sha256:5ad045f210ab33a13ef1e21fc35eb16cdcc87b733e495b26ed47178a46a524c4

Observation ba103bd6-0c97-41b8-8f0f-5b0a88fafeca · outbound

This paper cites https://doi.org/10.1103/PhysRevE.102.052315.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise https://doi.org/10.1103/PhysRevE.102.052315

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-10T22:22:00.532408Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:22:00.532408Z digest=sha256:4537e7a5a1d9f9b4b8e38e8b30a7b653ee8d75bcc06a3d784521a4088bd5a381

Observation 9733ef42-6934-4a0e-842b-bbe1a95ff3fb · outbound

This paper cites https://doi.org/10.1103/PhysRevE.107.024315.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise https://doi.org/10.1103/PhysRevE.107.024315

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-10T22:22:00.535863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:22:00.535863Z digest=sha256:1987d265976d75e54836ed28c28967bf51ac53d4abf4fa0069f48a3b5c1d2a6f

Observation 19afc793-94a0-4724-9b8a-abb18b9818d1 · outbound

This paper cites an unresolved cited work.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Unresolved cited work

Reference 30

Resolution
metadata mismatch
raw_fallback, observed 2026-08-10T22:22:01.605537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.538867Z digest=sha256:9e312e5ab1e8e4eaed1c970301b300d518a2e404a3eff4298878a6275c163484

Observation c1f62817-dc16-4a16-9526-3702822694a2 · outbound

This paper cites A.\ Kostin, V.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise A.\ Kostin, V

Reference 31

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.932176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.542098Z digest=sha256:55ff6078875f747d9c9e20b6cb58da0e8d3a6086b2ae36c1f7de8934fba50c54

Observation cfa2fa2c-d06e-4ada-aa50-09830b3321fb · outbound

This paper cites M.\ Zolotarev, One-dimensional stable distribution , Translations of Mathematical Monographs Vol.\ 65 (American Mathematical Society, Providence, 1986).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise M.\ Zolotarev, One-dimensional stable distribution , Translations of Mathematical Monographs Vol.\ 65 (American Mathematical Society, Providence, 1986)

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:22:01.744860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.545262Z digest=sha256:99115cdcd5d186559ecc20c36b96ba278d2058f64592367f5deaf70b8c187b25

Observation 4afd7bd6-86ca-4afa-8a76-fbd51b611d58 · outbound

This paper cites S.\ Goldobin, M.\ di Volo, and A.\ Torcini, ``Discrete synaptic events induce global oscillations in balanced neural networks,'' Phys.\ Rev.\ Lett.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise S.\ Goldobin, M.\ di Volo, and A.\ Torcini, ``Discrete synaptic events induce global oscillations in balanced neural networks,'' Phys.\ Rev.\ Lett

Reference 33

Resolution
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doi, observed 2026-08-10T22:22:00.921139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.548413Z digest=sha256:a897ace6a1796bd8dce1ad09edf847b00a989f5b232cfcf9506adc8b2ece7557

Observation 58bf2f74-d349-41cd-afe0-dbce9c837136 · outbound

This paper cites F.\ Shlesinger, ``Stochastic pathway to anomalous diffusion,'' Phys.\ Rev.\ A 35 (7), 3081--3085 (1987).\\ https://doi.org/10.1103/PhysRevA.35.3081.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise F.\ Shlesinger, ``Stochastic pathway to anomalous diffusion,'' Phys.\ Rev.\ A 35 (7), 3081--3085 (1987).\\ https://doi.org/10.1103/PhysRevA.35.3081

Reference 34

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no resolver link, observed 2026-08-10T22:22:00.551951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:22:00.551951Z digest=sha256:eb58718724a4608accbe01a34eaeb43d47a7ff8c018cbb07fa1be9bac7f72c78

Observation 0bf47914-7592-42fa-97a3-8899c1eb228d · outbound

This paper cites S.\ Goldobin and A.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise S.\ Goldobin and A

Reference 35

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.904872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.555127Z digest=sha256:9515810e041b1769f324ac9d3fa06a0bbed386f26fc7d5f35433b4a914dc8ab2

Observation ff842016-929e-448d-b544-e592cfdb2745 · outbound

This paper cites 173 (2), 278--289 (2009).\\ https://doi.org/10.1086/595755.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise 173 (2), 278--289 (2009).\\ https://doi.org/10.1086/595755

Reference 36

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.895395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.558897Z digest=sha256:4f38452b26594a053af5c08d0b52d6c3ac8d594ee68aeba8590522371cbab031

Observation ae0a9a7b-1acb-4f2a-91cf-10864e32a4f4 · outbound

This paper cites https://doi.org/10.1086/258792.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise https://doi.org/10.1086/258792

Reference 37

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.886021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.562203Z digest=sha256:5c80d8f9c6c3985b5646a9337948857a1e2e4eb2b04a0f23abae8414043fcc4f

Observation 8057046a-1a88-411a-903e-7f6124895622 · outbound

This paper cites A.\ Simkowitz and W.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise A.\ Simkowitz and W

Reference 38

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.876295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.565781Z digest=sha256:a1ef763320c61e34a0bb510c65dbee1ec2724809eadf31d44cc1481a599db19c

Observation 6e6a941a-b410-4ce9-a80f-66ea6674ac01 · outbound

This paper cites I.\ Rabinovich and D.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise I.\ Rabinovich and D

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:22:01.734091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.569262Z digest=sha256:41cfda0df77f404f004dcd23b8047315718606e2c77a226d0b0e9abed1dd46a2

Observation 75ea8ef3-b022-4b94-a529-ba913854d7ac · outbound

This paper cites E.\ Lamb, Jr., ``Theory of an Optical Maser,'' Phys.\ Rev.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise E.\ Lamb, Jr., ``Theory of an Optical Maser,'' Phys.\ Rev

Reference 40

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.865791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.572505Z digest=sha256:f2d42ab0f020375a4e5cb3dac6493fcbc94d3a95288f5c2bd68ab1a5a3298f4e

Observation 4d6b76a9-bf50-4f9d-988f-efde455cd36e · outbound

This paper cites Phys.\ C 2 (10), 1717--1725 (1969).\\ https://doi.org/10.1088/0022-3719/2/10/303.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Phys.\ C 2 (10), 1717--1725 (1969).\\ https://doi.org/10.1088/0022-3719/2/10/303

Reference 41

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.854849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.575993Z digest=sha256:c1a864f4bb866d1b1afaac835012c0baf02c10d4779151718ad7ede7f76c8979

Observation 9ea149db-2c6d-410c-a8e5-5de1a2bc54c3 · outbound

This paper cites S.\ Goldobin and A.\ Pikovsky, ``Synchronization and desynchronization of self-sustained oscillators by common noise,'' Phys.\ Rev.\ E 71 (4), 045201(R) (2005).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise S.\ Goldobin and A.\ Pikovsky, ``Synchronization and desynchronization of self-sustained oscillators by common noise,'' Phys.\ Rev.\ E 71 (4), 045201(R) (2005)

Reference 42

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.843835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.579516Z digest=sha256:5bd2b6100f147827aa3aa720d07c59f25086f0d8bbb3fd97c3640889dc30e105

Observation 78b52a38-f479-4eb9-8409-77b2698f9c16 · outbound

This paper cites A.\ Roberts, T.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise A.\ Roberts, T

Reference 43

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.833383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.582814Z digest=sha256:c00960c382e4bee9bacc5d40fb2cc836b3f41b1be0bc0a808c95f5a14c03f4d6

Observation 08e1b38b-f346-46da-ae5b-51ea9687a345 · outbound

This paper cites V.\ Dolmatova, I.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise V.\ Dolmatova, I

Reference 44

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.824042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.586405Z digest=sha256:f299cec55723dd84d4db5cddd3197f87ce5990b509e8f9c6cbc07262513076de

Observation 9858a6df-1507-40c7-a8c9-4307299a3a19 · outbound

This paper cites 148 , 110976 (2021).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise 148 , 110976 (2021)

Reference 45

Resolution
metadata mismatch
raw_fallback, observed 2026-08-10T22:22:01.542334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.589584Z digest=sha256:e4d44cfbb14b68cef86f451236b4932692f7183d2ff4c7c19444500ef5171cb8

Observation cd2b9573-60a0-4e29-aef7-64e7935fcc26 · outbound

This paper cites Stat.\ Mech.: Theory Exp.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Stat.\ Mech.: Theory Exp

Reference 46

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.814391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.592786Z digest=sha256:9999503f97010c925988742fc26c48cc528324193d09d0aa38776beb3a7bd58f

Observation 9a957232-8211-426b-8a4b-c98ea4789c8c · outbound

This paper cites an unresolved cited work.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Unresolved cited work

Reference 47

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.804447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.596215Z digest=sha256:ac65d4d4cbd903d107872516220b61d70c751f171708434cdb39df348eed1235

Observation 33cd46a3-1496-4f1b-9d40-78962920a62f · outbound

This paper cites https://doi.org/10.1063/5.0206094.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise https://doi.org/10.1063/5.0206094

Reference 48

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.794885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.599539Z digest=sha256:6c5a7ef08957587ef23508f4caf54d04a0b9700230477b8b66f4ddc379edb383

Observation c26f5f44-facd-4103-8bf9-c2dbfb13d339 · outbound

This paper cites 186 , 115210 (2024).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise 186 , 115210 (2024)

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-10T22:22:00.602912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:22:00.602912Z digest=sha256:989b42ad68141ac3aef3a274e0d0b6889d736e34e01491c9510b80be3253e9a5

Observation 9d0ad94d-b85e-43a5-9792-62515934a029 · outbound

This paper cites 184 , 115051 (2024).\\ https://doi.org/10.1016/j.chaos.2024.115051.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise 184 , 115051 (2024).\\ https://doi.org/10.1016/j.chaos.2024.115051

Reference 50

Resolution
metadata mismatch
raw_fallback, observed 2026-08-10T22:22:01.389634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.606225Z digest=sha256:1652b18929d3917e2c8f71389ac53869c3ef389b963bc6535e53343554b49733

Observation 59434457-8a39-489d-b838-a0b62e141107 · outbound

This paper cites S.\ Goldobin, ``Interspike interval statistics for quadratic integrate-and-fire neurons subject to alpha-stable noise,'' Cybernetics and Physics 13 (3), 206--210 (2024).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise S.\ Goldobin, ``Interspike interval statistics for quadratic integrate-and-fire neurons subject to alpha-stable noise,'' Cybernetics and Physics 13 (3), 206--210 (2024)

Reference 51

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.785154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.609553Z digest=sha256:57de8255fdc33e0d9fbdbff06a7fb6920c40fa000ddaa10c25b591f49ac381c1

Observation 3822ca11-b1e9-403a-af43-b5658c30b191 · outbound

This paper cites V.\ Klinshov and S.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise V.\ Klinshov and S

Reference 52

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.775503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.613081Z digest=sha256:ef4bf526712b43baa62c074cc760f2554f79955d6d735f58fd0414be6bc6932a

Observation 7561eab6-0b76-42e0-8da0-447ded5e3606 · outbound

This paper cites Y.\ Kirillov, ``Constructive role of shot noise in the collective dynamics of neural networks,'' Chaos 33 (6), 061101 (2023).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Y.\ Kirillov, ``Constructive role of shot noise in the collective dynamics of neural networks,'' Chaos 33 (6), 061101 (2023)

Reference 53

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.765295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.616058Z digest=sha256:6e4640badb9e0ba5d8f6b47716c66a73e74b46c30d3f67b2ef90dac3fe563bcb

Observation 65a9b099-8fc2-4003-8496-a08c57af4e14 · outbound

This paper cites V.\ Chechkin, J.\ Klafter, V.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise V.\ Chechkin, J.\ Klafter, V

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-10T22:22:00.619552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:22:00.619552Z digest=sha256:a3ed9999b1703e8e6e212ceaf463a9b73912d63140a7755e316a8ccdf749bb04

Observation ac875d19-8539-4bd4-bd15-54e294e3f14d · outbound

This paper cites M.\ Sokolov, and E.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise M.\ Sokolov, and E

Reference 55

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.749448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.622749Z digest=sha256:3584c3c2249206c7714c1e3660c49561e552f9b64ef859abbe7a88c72f1f11a8

Observation 950e2467-269b-42a2-8dd4-add3dc36260a · outbound

This paper cites S.\ Goldobin, E.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise S.\ Goldobin, E

Reference 56

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.739144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.626086Z digest=sha256:61f32d220f09ad153dff246e60a5437a291a6eb77529383714f2f3ee590e230c

Observation 872f0f98-036f-4fd9-a086-60edf527df16 · outbound

This paper cites an unresolved cited work.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Unresolved cited work

Reference 57

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.728995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.629351Z digest=sha256:3049f4695ce59aa3f917d98396f0be553e589441e789d75f4e0960b52ebb65e6

Observation 4e482072-e688-42fd-bdb9-d59d5c43d0dd · outbound

This paper cites S.\ Goldobin, ``Relationships between the Distribution of Watanabe-Strogatz Variables and Circular Cumulants for Ensembles of Phase Elements,'' Fluct.\ Noise Lett.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise S.\ Goldobin, ``Relationships between the Distribution of Watanabe-Strogatz Variables and Circular Cumulants for Ensembles of Phase Elements,'' Fluct.\ Noise Lett

Reference 58

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.718960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.632609Z digest=sha256:4880c760219280e693b8850ecf5c186e0c659a5e56ffdacf1b372d7ec83e499f

Observation 82dc22b8-75fc-40fa-921c-26f7a6c5fc60 · outbound

This paper cites an unresolved cited work.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:22:01.724191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.635650Z digest=sha256:a5862696091bf8f5b9a192423f8b05a18912644883eb820662983ea1d5e5b66a

Observation eb9ea44e-760d-425b-9bbd-fedbd76387b5 · outbound

This paper cites https://doi.org/10.1007/978-3-642-69689-3.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise https://doi.org/10.1007/978-3-642-69689-3

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-10T22:22:00.639030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:22:00.639030Z digest=sha256:4752da6913bae00b3f11c04e33a139e4d1f5b9cd0beb75495f11ff59311942a3

Observation 70a3e61e-6e23-4b56-9f5d-e86365b6adf7 · outbound

This paper cites A.\ Acebr\'on, L.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise A.\ Acebr\'on, L

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-10T22:22:00.642018Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:22:00.642018Z digest=sha256:d8590a0c40303df3a5bf0b70df1d05722ca28d663ccf902bf65d4fcfd6f69d51

Observation e019996f-70e6-408a-9d56-24e211e8273a · outbound

This paper cites https://doi.org/10.1143/PTP.76.576.

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise https://doi.org/10.1143/PTP.76.576

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-10T22:22:00.645502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:22:00.645502Z digest=sha256:9278fe52445153510043f5cd655992d584e29b4bf5d730e1537458efd0084a7b

Observation c28e7fd9-a86c-4e94-b8b0-d4ed12c865a9 · outbound

This paper cites Ya.\ Khinchin, Continued Fractions (University of Chicago Press, Chicago and London, 1964).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise Ya.\ Khinchin, Continued Fractions (University of Chicago Press, Chicago and London, 1964)

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:22:01.714085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.648969Z digest=sha256:1978953b141525303327f9572695da6e4c0641e5b393e13126771c34e0d9a1e6

Observation 56b809f0-f0d1-4a81-b512-ef7ca46477cb · outbound

This paper cites 125 (24), 248101 (2020).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise 125 (24), 248101 (2020)

Reference 64

Resolution
verified exact
doi, observed 2026-08-10T22:22:00.688019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.651959Z digest=sha256:9174c3da98a5d26ee2c41884da6a357c81b65f6f88f5cbcd653711c8a18b6bbb

Observation b4b8224c-d6a6-4741-843b-bc7bb8652999 · outbound

This paper cites W.\ Gardiner, Handbook of stochastic methods , 2nd edn.\ (Springer, Berlin, Heidelberg, 1997).

Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise W.\ Gardiner, Handbook of stochastic methods , 2nd edn.\ (Springer, Berlin, Heidelberg, 1997)

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:22:01.704115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:22:00.655315Z digest=sha256:d2fe948ba01093914ba1e2792597264eacd54b39d9b8ed45e7ad093a7141fede

Pith citing papers

No inbound Pith citation observations are available.