Pith. sign in

Paper Citation Record · LEDGER

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators

As of 22 August 2026, this Paper Citation Record lists 98 of 98 outbound references and 1 inbound Pith citation observation for arXiv:2505.02955.

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

pith.paper-citation-record.v1
2505.02955 v1

Coverage vector

measured 98 of 98 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:46:56.299495Z

measured 99 of 99 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:50:43.201828Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T16:50:43.386679Z

Reference resolution

98 of 98 outbound references displayed

  • verified exact1
  • verified fuzzy41
  • unresolved56
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 30fca52a-19ce-49bf-8694-9683cedc9229 · outbound

This paper cites Pikovsky , author M.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Pikovsky , author M

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:55.998720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:55.998720Z digest=sha256:b16c180a1845c2a034cd82993d99d6b33f3cabac968e2cd58bb0a37866599131

Observation c8a118f8-9daf-4501-8e31-fe93488e3588 · outbound

This paper cites Ermentrout \ and\ author D.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Ermentrout \ and\ author D

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.002285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.002285Z digest=sha256:e992abe18262ebf93ffb91edb87353337087b290f9752661913e4b5add0846c7

Observation a37c45c8-e038-4ce2-8c89-72605ec24132 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.005399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.005399Z digest=sha256:8a6d42de3f7b18c7955a5871a4af5262494fe2919904c55517ef56099533245c

Observation 2030d45d-a954-4df4-b14e-02f5dae629f9 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.008933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.008933Z digest=sha256:7005a897e8d30e475705a547a76a172c2ae451b306a43e8c5b9785a02636afe2

Observation 3a69dca8-8839-4d80-9e49-e98b7bb6aed4 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.011846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.011846Z digest=sha256:b7a4061db966e77bb256b76dc167f30e6109ebeb7c7fccf7ed87d280b96c691a

Observation 5763597b-1408-4d42-a03e-38b7fa27f535 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.014805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.014805Z digest=sha256:4e6e1193af884d5cdce7b442f7720079de274e3322e636cebc0fca4c024a18ef

Observation 7078957a-0981-4139-b65f-9694efc7fb20 · outbound

This paper cites Sarfati , author J.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Sarfati , author J

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.018042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.018042Z digest=sha256:0f654513d21e6a515891bc9d0613e083b76665fa1c2d1b5a23c2c42647379623

Observation ba0468ed-3a98-46c6-8c03-50a40d8e1da8 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.021219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.021219Z digest=sha256:c8c5850affd563d585b71ebdb5028a89920faff5aebf62733ac5b0b18fb00083

Observation c4400e02-1a54-4569-8dd9-232667d8f50a · outbound

This paper cites Liu , author Q.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Liu , author Q

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.024470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.024470Z digest=sha256:4968eecd8af9a5b8e3cf6d629bb4f95de28bdd679383c2be432e128cb877cd28

Observation 83af5026-d075-4c77-8944-e9e89fbe9e0f · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.027538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.027538Z digest=sha256:cb175a0ed83bc89937c41ec888613289ec25233df8a207e694764ea4c475d1fb

Observation cef53b71-2a7d-49e9-a995-38593678ae22 · outbound

This paper cites Wang , author Q.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Wang , author Q

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.030716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.030716Z digest=sha256:591b950e9e69798035d4e44012c8c3710527a83ea98b93967d66945fd1c0539e

Observation d063906e-fe20-4b66-be7f-722e415e0846 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.034107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.034107Z digest=sha256:415f501ca8ff858470e79443a8a836908055761c0785e8042b0c97cd2ed8e905

Observation f0880445-598d-481e-a748-ea0afa4a3c70 · outbound

This paper cites Gonze , author S.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Gonze , author S

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.037260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.037260Z digest=sha256:5750b4f1e443ff208d2c7a311d55c9e155149b26a080e3b27df6e14a21d297d3

Observation bc9b409b-64fe-47a9-bdf9-56ea7c45e13c · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.040310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.040310Z digest=sha256:71cb5a9c0b7df838a865357686b74366adcc30bf3f3fe5be57d4230e08bd75ba

Observation dd17dc58-9d71-43f1-a0af-2dcfb2f6edf8 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.043370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.043370Z digest=sha256:ad171b623c521f06b0cf5c41fce7a9dbff30541082e3154fa883750e29fb955c

Observation e42f50f3-9ce6-4fc9-8b89-63282d3b5208 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.046442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.046442Z digest=sha256:00afe29f4511ce402852e5856694004fbcf900eb6120921fca28edffb05bbb1a

Observation d01f1d4a-c5e7-4354-8932-bcaf79d0d62c · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.049555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.049555Z digest=sha256:83fa87fcd52d9faa5986c70e6215e098795d6986fef55a3582a760259987eabd

Observation 0a299c64-a9b0-4b4b-9b5d-12a4ccacb01b · outbound

This paper cites Monto , author S.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Monto , author S

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.052705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.052705Z digest=sha256:26a2bb5f5345103ae56e2beb149a8fc87d580ca3b35ddd46e77cb42fab2ffaaa

Observation a3067534-b173-413c-9b9e-9438925f6769 · outbound

This paper cites Brown , author J.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Brown , author J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.165584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.055609Z digest=sha256:25a3d4249d4e389a84043c3e6995e64c324f5f98147a374398964f7737cbaf1d

Observation 04efe0cc-bde3-41b7-b7ad-cebfc1b4e14e · outbound

This paper cites Kuramoto ,\ title title Chemical oscillations, waves, and turbulence , \ @noop journal journal (No Title) \ volume 8 ,\ pages 156 ( year 1984 ) NoStop.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Kuramoto ,\ title title Chemical oscillations, waves, and turbulence , \ @noop journal journal (No Title) \ volume 8 ,\ pages 156 ( year 1984 ) NoStop

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.155935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.058746Z digest=sha256:7f7068af186123605eac6e9ab9f9dae6785b4d794bb53c80e0a0f965699c124d

Observation 6a19545e-55f2-4973-a8f6-0c1fd231f55f · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:57.145713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.061726Z digest=sha256:a97df7eaa8b8dfeea8aff397a1f2b3bee26288d600dcd43778d532e452345ec1

Observation bfa74db5-7ca8-4fa4-8920-11bacf0e0871 · outbound

This paper cites Castej \'o n , author A.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Castej \'o n , author A

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.136007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.064760Z digest=sha256:6569e3919781698c0e2e3a53a6e935abf27722ecd4ed069595ecf86b0b8b6044

Observation c5f6e414-44fe-4048-bfc2-cec4eb291975 · outbound

This paper cites Guillamon \ and\ author G.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Guillamon \ and\ author G

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.126360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.067754Z digest=sha256:6a66e65eba613389ab6a75353ff0d6d683f6f2348f5fa0e9ca73d0ba1541e93e

Observation b4475cfe-2506-4959-ac2b-b8f8039e4dba · outbound

This paper cites Wilson \ and\ author J.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Wilson \ and\ author J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.117342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.070883Z digest=sha256:5302e2b236dde3d4d2d47c77946e5fde1584c7aa2167548383d6d027f54b70c9

Observation 5b83772d-c042-482c-9143-996a60bff73d · outbound

This paper cites Wilson \ and\ author B.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Wilson \ and\ author B

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.108224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.074112Z digest=sha256:466a3adc343bb897d44292845fc0c391c8f75dbb0d6eb5a8b3e7b5cbfd48ebc3

Observation 3e6d8918-c121-4749-8007-964187a5d6fa · outbound

This paper cites Wilson \ and\ author B.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Wilson \ and\ author B

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.099157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.077050Z digest=sha256:c33f161327082501c26e6851f2e68eb9b611fcb1ce18a1410fed08a597870752

Observation 70e004ea-09ad-4920-8dda-e1b9c74df662 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:57.090018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.080172Z digest=sha256:72c9641e9ae9397b3d149eebfecdc7902f368390c79e2d88e74bd89f9a7821fa

Observation f25e61a3-094f-439c-a7ac-f57b6e68d1d9 · outbound

This paper cites Guckenheimer ,\ title title Isochrons and phaseless sets , \ @noop journal journal Journal of Mathematical Biology \ volume 1 ,\ pages 259--273 ( year 1975 ) NoStop.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Guckenheimer ,\ title title Isochrons and phaseless sets , \ @noop journal journal Journal of Mathematical Biology \ volume 1 ,\ pages 259--273 ( year 1975 ) NoStop

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.081089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.083608Z digest=sha256:0213fd4e4cd1a1006c5eb26d6f97011ebd1729e752374558b81c97d1f438c962

Observation 29c9a9d9-8930-42f9-a999-5153c10b6f55 · outbound

This paper cites Park \ and\ author D.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Park \ and\ author D

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.072777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.086564Z digest=sha256:521f3b67603002d2dcbcf44af158c601ddad1e0d0b35bb3bc134db13eac46723

Observation 222798f0-2f8f-4486-ba63-6595ec664fb7 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:57.064776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.089387Z digest=sha256:7c1940276d4705641c8acc3aa0c58edb5776acf810b1b3e0557dd3acec1d6343

Observation e21e6ea6-1d37-4099-9db3-4b5ae53f189b · outbound

This paper cites Guckenheimer \ and\ author P.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Guckenheimer \ and\ author P

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.056651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.092265Z digest=sha256:06e366cce24e5ab7980a09cb5667ffffdd72e9e072516e385f3c0e7fb365f64c

Observation 0b902c82-da09-4bf6-ba0f-cc480fbcad0b · outbound

This paper cites Schilder \ and\ author B.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Schilder \ and\ author B

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.048137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.095029Z digest=sha256:a8938ae2222a9976e463912155ee3f598d404d83841e1805582cbe42b87e4780

Observation b5bd9e94-17c6-41d3-b3e9-2607f8d35e3f · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:57.039032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.097932Z digest=sha256:67100b10227089c3f87fa98491ae27a4cd102826cd3a362a7b54b1b3c8783239

Observation 400c008f-6a4a-48ed-8e91-d77fb9899f7b · outbound

This paper cites Callenbach , author P.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Callenbach , author P

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.029723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.100787Z digest=sha256:6d1639ce55bda3919415b44949ea57426a724d5580737a8b8415982c9431d997

Observation 678054b0-eda8-43e1-b26d-ad0dbeaa8486 · outbound

This paper cites Deng , author S.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Deng , author S

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.020573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.103673Z digest=sha256:5f4fe0d4baa8fe8073e126000118879063563dad1de129e876d9a755058f690f

Observation 29b09817-a911-4f94-b773-d873ad84b313 · outbound

This paper cites Ermentrout ,\ title title Noisy oscillators , \ @noop journal journal Stochastic Methods in Neuroscience \ ,\ pages 124--152 ( year 2009 ) NoStop.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Ermentrout ,\ title title Noisy oscillators , \ @noop journal journal Stochastic Methods in Neuroscience \ ,\ pages 124--152 ( year 2009 ) NoStop

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.011070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.106641Z digest=sha256:7cb2939e435234f854019cc107f23efd23b0582d8b585256773383d1d20042bb

Observation 4118fc83-0033-4988-99de-ff89df5f6b1c · outbound

This paper cites Freund , author A.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Freund , author A

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:57.001470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.109488Z digest=sha256:5578f2a07349f1025336848d95fc64442ad73f0853850f03f5a41a963ae04db6

Observation 39671d79-0329-4568-b652-1d2389ed753d · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.992327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.112904Z digest=sha256:794d004a103487f801ea1a34eab23d7f49fe4026c583b5acb99c88bd5a26db2b

Observation 6158e3fc-7982-4981-85cb-5ec6e13e1757 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.983190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.115303Z digest=sha256:53e325874db9ce9873f73261ed07a86423d4af141c401daf630040e56ad9a5b3

Observation 77ab994b-b2df-4c9c-bcca-f92bea583abe · outbound

This paper cites Nandi , author R.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Nandi , author R

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.973868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.117810Z digest=sha256:0d32311e17886f2a4a25fbaeaeb137d68748b031abd45d4ee6552e36c448b028

Observation b0bbaa09-152c-409d-b09c-9ff1a01e9d85 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.964890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.120308Z digest=sha256:31fc78abc323c38180eac50ae293e4298d76b0d0006a173aea25364638356278

Observation 664ec2f3-0ecb-4d6f-b496-d4adfb4856c1 · outbound

This paper cites Zakharova , author J.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Zakharova , author J

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.955465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.122706Z digest=sha256:fa87c915cb813ae731e4a7e2d41f403c74f49a10ad704cfeffbdd30cb1caa825

Observation 5d4360cd-b5d7-4d8e-88d7-664efec05dd1 · outbound

This paper cites Zakharova , author A.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Zakharova , author A

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.947480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.125237Z digest=sha256:6d891182ab8c7afd3f587458a1dd41f587081beb3f55de83f101d821dbfff11c

Observation b16ea258-4c5b-443f-90ea-829e01db697b · outbound

This paper cites Zaks , author A.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Zaks , author A

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.939234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.128812Z digest=sha256:4a909003a8f3fa48dc0c95ec2de5dc6a2c610394beb895b2b8d0001ef9a10b7d

Observation dcd36403-6449-40ee-8aae-c1fb1504b708 · outbound

This paper cites Zhang , author Z.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Zhang , author Z

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.929795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.131425Z digest=sha256:025a08b54a79d6c74b324e9954a3194569c0b7003a3451b5e8ff9237921dac07

Observation f2d49660-54c5-4496-b1f5-4b4756df16fe · outbound

This paper cites Cao , author B.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Cao , author B

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.920300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.134009Z digest=sha256:9eb0cbc62720d0e924d8ca7507124f0e46eacf2ae48ce63e903fe1746285b074

Observation 92ae2552-17ba-4964-8d98-77811b35bc57 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.910697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.136803Z digest=sha256:90627f2d307108baab163e7fab4b202c2135566527bab8abb673e9f4ab9d8b53

Observation c59aeafb-8b9b-4666-9612-ce5513b792e4 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.901404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.139309Z digest=sha256:ea4079718a0b69abfc7dd61ea9dcfafaffbdf78f50fb239ca606807ef2eab6f1

Observation 889da8d9-8d79-4bcf-abea-0afe3c1f2fcd · outbound

This paper cites P \'e rez-Cervera , author B.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators P \'e rez-Cervera , author B

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.892191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.142500Z digest=sha256:64410248486b2ec7b2037a4e55aedf73c9036602e76fda3ba4d15580caf71401

Observation 4727d83e-9114-47ad-9f38-162476a6a8dc · outbound

This paper cites P \'e rez-Cervera , author B.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators P \'e rez-Cervera , author B

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.882807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.145556Z digest=sha256:08bc13c1d0b674fc32f9ef96c1572dee54a0b116f42c592f435de442da67ccc8

Observation 51127b98-a43e-443d-a288-2875ad0b739a · outbound

This paper cites P \'e rez-Cervera , author B.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators P \'e rez-Cervera , author B

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.873351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.148850Z digest=sha256:1e7789ba20b5d0b96d6773cab13625316199e65a9b282f891c7ab5711dbfc670

Observation 1651a8ce-ee0b-45a6-9a8a-64c0869b8b16 · outbound

This paper cites P \'e rez-Cervera , author G.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators P \'e rez-Cervera , author G

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.863753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.152204Z digest=sha256:fa57b2b5639a43dc5e37fdbbc8b82aea39541c4d939cdf185d6a069add29dcfe

Observation ef59b8bc-9c6a-4ee9-a64d-ff1abce56ae3 · outbound

This paper cites Kato , author J.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Kato , author J

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.854117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.155453Z digest=sha256:0ab4376a88193656a73ab66fc64803966b3ca929458bae5052a2f82b2c7657a7

Observation f3c3a85a-f187-43fa-8a2b-b924e82ce72a · outbound

This paper cites See subsubsection:9D discrete-state model for an application involving a discrete-state system NoStop.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators See subsubsection:9D discrete-state model for an application involving a discrete-state system NoStop

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.844200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.158472Z digest=sha256:9e33f431aa3f2dadeff4b635450e65e1f7de7acdb80b8d379a6e9b853fecd925

Observation f1b9c7bb-eb2b-42e9-b265-43e8450d300e · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.736078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.161891Z digest=sha256:a88a267cf8ab60c7d03dafdff2213fd7c35483912a2cc075401f8f12257381c0

Observation 0af1174f-7b1e-44bb-b394-70c96c85bef5 · outbound

This paper cites Oksendal ,\ @noop title Stochastic differential equations: an introduction with applications \ ( publisher Springer Science & Business Media ,\ year 2013 ) NoStop.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Oksendal ,\ @noop title Stochastic differential equations: an introduction with applications \ ( publisher Springer Science & Business Media ,\ year 2013 ) NoStop

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.726580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.165044Z digest=sha256:95fe6225718c5452e4d5a788bba9b6dea258db5a76c08f9e00ce565106385668

Observation de96b743-d7f2-4359-80df-ca76731b3803 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.717093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.168384Z digest=sha256:136f729d0560804eb8e0e882ef5d4ab884f4d97709e674bfdda6db59313e87f7

Observation 25f6d53b-27d8-41a6-9ba0-744bc3b37fe6 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.707774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.171569Z digest=sha256:0dd939ccad587de1a248843296b7fea0b14ad6d13d1f6b2e63539b0ae91ed28d

Observation 8b29a86e-b677-42a8-9f24-3dbb0f8b9233 · outbound

This paper cites See the remark after the proof for a more detailed discussion of uniqueness.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators See the remark after the proof for a more detailed discussion of uniqueness

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.698295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.174768Z digest=sha256:adf012cb41b76852fbdadf8c9758326c9692399f8e749a2d35dba0e7b918b862

Observation 5226ff34-0526-4cda-9638-80760a070eec · outbound

This paper cites Waltman ,\ @noop title A second course in elementary differential equations \ ( publisher Courier Corporation ,\ year 2004 ) NoStop.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Waltman ,\ @noop title A second course in elementary differential equations \ ( publisher Courier Corporation ,\ year 2004 ) NoStop

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.688107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.178202Z digest=sha256:cc90f00b342f9d3c6acafa56ae7695549f60057ec2d9c58dd21ba6eb362116b0

Observation 2de78d74-eeef-4749-bb75-d6aa617dae57 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.677461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.181360Z digest=sha256:c7cea4a3cb7329fb69d85e40691274d45fc2cf76f1597c180744c9cc152384d8

Observation 6a4df75b-b15b-4fc8-82dd-675d92d0b146 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.667525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.184365Z digest=sha256:a08eb0a200d30e0a552e01a83695def99dd11d0998a475dce2883e548425ef3c

Observation 345f68c6-c430-42f9-adef-9cdff4453bd8 · outbound

This paper cites Eigenfunctions of the Multidimensional Linear Noise Fokker-Planck Operator via Ladder Operators.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Eigenfunctions of the Multidimensional Linear Noise Fokker-Planck Operator via Ladder Operators

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.187427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.187427Z digest=sha256:431f019b2c5dfb18c148fd7fd4f6f47250f4d66d188850bd01494e1afeeb334b

Observation 39b73931-8d70-4bb0-9759-f084b242f6ba · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.656091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.190822Z digest=sha256:f34e83e6c7705b3d77fb48897106956fbbbeb0746caaa89c969fda9090d0932b

Observation 6d4582f4-0bc7-4c6a-9233-33da3302f964 · outbound

This paper cites Risken \ and\ author H.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Risken \ and\ author H

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.193730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.193730Z digest=sha256:efe254583073f1fa59e3d7ba02f2eaf662b2a8d44d2b9167abecac3266a09821

Observation 3427f114-2faf-4da3-8e12-77d36e719db5 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.640420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.196734Z digest=sha256:d1d517c4bd683c871fe3d0245119a8632a0253cc0d1d9c288f1711702fc4fefc

Observation 81c6e9f2-16ea-4207-a446-a7b759159656 · outbound

This paper cites Modern Koopman Theory for Dynamical Systems.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Modern Koopman Theory for Dynamical Systems

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.200004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.200004Z digest=sha256:2e0dd4a2c6f4df230e1ec8ab68c8d2f932638b3c5d1b0078382ff4e6c91c3e53

Observation b59ed04c-33b9-4941-bdc1-e728a29aab28 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.630124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.203609Z digest=sha256:a86412959b3548f76732f5018adc368e4cec31105f6db10f06f985370f0dfd15

Observation d5fe5fdc-f1c4-4c2a-8cdf-715970791e39 · outbound

This paper cites Mezi \'c ,\ title title On numerical approximations of the K oopman operator , \ @noop journal journal Mathematics \ volume 10 ,\ pages 1180 ( year 2022 ) NoStop.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Mezi \'c ,\ title title On numerical approximations of the K oopman operator , \ @noop journal journal Mathematics \ volume 10 ,\ pages 1180 ( year 2022 ) NoStop

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.620187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.206874Z digest=sha256:ee6f49fbe3c296710c16302de462d3fae853afdd1cbc30bdf36fd1ef1017a2c5

Observation c1a9eaed-dfcf-44f9-824e-bfc7883b8a65 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.210072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.210072Z digest=sha256:24ccd5f7f91c6d463504a60dc945158c4323045f6369595653182a7621c8fad3

Observation a33c0f1f-7954-4bbe-b011-69e7d1985bee · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.603075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.213391Z digest=sha256:23a6f2bc6aaf573bae44e1829f21968b72d533ed75ef1f719b08386f7eed24a1

Observation db288787-7326-4cfa-8149-ca5244f82c28 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.592588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.216495Z digest=sha256:e542bd7d8f496822ba27376e70d3dedafa106119f9ddd54df23c77a73bf8aef7

Observation 4749538b-abe2-45ec-8358-8488d2afda51 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.582169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.220034Z digest=sha256:50d4e93efe5ff727362580403d8a37a5bba575cdbdb808a67ae387cbdc74e035

Observation c0bce118-2cf8-4068-b500-05bf9036cb09 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 74

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.566472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.223206Z digest=sha256:8808bf392050148dcdd8cc9a4510ccee80f32e2cc0df140d744351ad575d2746

Observation 2838fe31-cd1d-48f6-ad47-69f07a3fffbc · outbound

This paper cites Mauroy \ and\ author I.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Mauroy \ and\ author I

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.549221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.226061Z digest=sha256:e5316544fd69b582479ab3c7c8a0e8d3ebcb5afe8c5152b321fe73b2e93a8261

Observation 0f37d1d6-79d5-494a-9d89-bd720d997bd9 · outbound

This paper cites Mauroy \ and\ author I.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Mauroy \ and\ author I

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.536714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.228988Z digest=sha256:8f30f0e16fa1e7453f52793fe734b776736f2aea960aa718894c9bc1c1d8ed1e

Observation c2b6564d-6217-4414-b59c-533d083b00cf · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 77

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.231679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.231679Z digest=sha256:74038b76f4599566a339c48b2304a43b3725d574df3ec5639baa053ec839a1ec

Observation 0c851721-c27e-4727-a087-9f8b53f3ff08 · outbound

This paper cites Hu \ and\ author Y.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Hu \ and\ author Y

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.521733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.234612Z digest=sha256:f4b63d8444cc61a20fa85d6326857024f67ea87b791ebcafb8755deeaa65a736

Observation b6b03500-b569-4c2b-b0f9-c4d979c6989d · outbound

This paper cites Doi , author J.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Doi , author J

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.513113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.237589Z digest=sha256:49a0fe662afc9efc17e11aca195acb9c434fce70f8723d60bb33c146e3dcd9c6

Observation a63eb105-85f9-4215-b473-86ad62560885 · outbound

This paper cites Tateno \ and\ author Y.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Tateno \ and\ author Y

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.504232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.240408Z digest=sha256:bd5d7ee4028628a1f7fe0dffe68b577732fd87de373c874bf4c439031ea2b684

Observation d0704c42-5950-434e-bc94-9037cd9a9f25 · outbound

This paper cites Horsthemke \ and\ author R.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Horsthemke \ and\ author R

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.495238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.243412Z digest=sha256:40249724d6cd27d516a7d022df02aa8fc38b45a1726409bfdaf0e0c0db62a0f7

Observation 1aa46aa8-aa1f-412d-85b4-af0776e1cb32 · outbound

This paper cites Korda \ and\ author I.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Korda \ and\ author I

Reference 82

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.486196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.246191Z digest=sha256:e7a2ae1c4b0adabdfa3d7fb3c3e857aabcc5329b67478c63e5c3ecf813ac605b

Observation b40393d6-51be-4452-a4fe-637198ac0a44 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 83

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.477417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.249085Z digest=sha256:218d13fb54bb10b062da0391fb475401208ffa31d44ac2b2d2e50a8593b63344

Observation 70b7307c-0349-453f-b902-5a917fbce653 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 84

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.467707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.251856Z digest=sha256:81032c1fea166114dc679e940cbea9ea4ff7c18f630ebb785dc6981640b0f871

Observation 64ab6abf-8455-4910-93a2-322d7e42d042 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 85

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.458989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.254298Z digest=sha256:c6a6090e73cbc2cc06b2e97b3f3d7524f21daa1e1f40e5aecfa2c5e46626e8d4

Observation 9596ac22-a6ce-49cb-8462-cd5f155d9e61 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 86

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.449191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.257381Z digest=sha256:a718eeaa26d57f0ba5d61e587d722f0c5e163f6fa20fb4913663f47589e5f320

Observation 5c13890e-41d1-4d9e-9c29-e278090d99cd · outbound

This paper cites Zhai , author M.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Zhai , author M

Reference 87

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.439471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.260523Z digest=sha256:6c651cd89bf38ef1347a1b3db20defcbe9bbc622b6002ca23e1a977638f5b725

Observation de9c2788-a44a-497e-a515-ed73409bab5e · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 88

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.429663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.263518Z digest=sha256:551663896dff738c156b78d11dd0e30a903f4a31a35afd7796f938a2d69c4ae4

Observation d158fe4f-cfe6-45bc-867a-9bcbbbeaa7ae · outbound

This paper cites Melland \ and\ author R.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Melland \ and\ author R

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.419440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.266776Z digest=sha256:9d66d84b570c8ebe983c420d3116c3e60ae1e26d7ba5c86a9d4fe0b381de4840

Observation 9e610538-e840-4280-9399-f54495d91b16 · outbound

This paper cites Generalized dynamical phase reduction for stochastic oscillators.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Generalized dynamical phase reduction for stochastic oscillators

Reference 90

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.269804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.269804Z digest=sha256:361df597964ccbe5001b866abfabf1aebd13fb3465fe130f0a91ebd3975ed7b3

Observation 55332afd-bbbd-4701-919d-cabf4d9568d7 · outbound

This paper cites an unresolved cited work.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Unresolved cited work

Reference 91

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:46:56.410053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.273385Z digest=sha256:84013926472571c73acf77bfc245d2a3abcbe1867b9bc54b58f14a1a4a13dc4c

Observation 47a652aa-90f7-44a9-b4ae-2625fc98b4d7 · outbound

This paper cites Metafune , author D.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Metafune , author D

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:46:56.400090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.276948Z digest=sha256:6cd9ee41b2f95beb4b12171d9f2f3950da32a1769bca9fab40783039e55ffd36

Observation 7d597956-b886-4390-b06d-914caeb65044 · outbound

This paper cites Computing eigenfunctions of the multidimensional Ornstein-Uhlenbeck operator.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators Computing eigenfunctions of the multidimensional Ornstein-Uhlenbeck operator

Reference 93

Resolution
verified exact
local_arxiv, observed 2026-08-16T00:46:56.335237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.280191Z digest=sha256:4bb929a2039f104b7cfe13cc962434195d53b42fc78ea649d1be44f1b007a780

Observation 667d9980-270b-4d2f-bfb5-83eb0ab75739 · outbound

This paper cites merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 94

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.283764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.283764Z digest=sha256:4b2ee31be735fd1803d3681ce3caed8cf73203974140ac22b8f44e0fc2655a57

Observation 6a861352-94ec-4e0a-92eb-74edc2ac0566 · outbound

This paper cites merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 95

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.288016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.288016Z digest=sha256:e8b94991294b824f28ed1863125eaca11242bbb6ccef17cf50c6c025312506e5

Observation ea1bf8b7-a1f6-4db4-bac9-875c6963c872 · outbound

This paper cites merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 96

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.291732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.291732Z digest=sha256:5dc16db59f3a851354e8845f8cff11a4be2d89a83bac7a33c3cacf0f01ac4543

Observation d07e0aa5-a3f5-4087-82ea-3d3a1c2b34e4 · outbound

This paper cites merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 97

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.295267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.295267Z digest=sha256:0a97053adda15115a6d99d3250b8da7df94ddf4b99143109412c88a7a6ec29ae

Observation 4596ea1c-430e-46a9-a7ca-5d3c11244b60 · outbound

This paper cites merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-16T00:46:56.299495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:46:56.299495Z digest=sha256:5d3baf264976be8ef2464c59eb2187cfb824ea5fa7472efc7b59259d7eb6f5cd

Pith citing papers

Observation 037e7118-8a2f-4b70-bfc5-d1dd50850a57 · inbound

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions cites this paper.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions $Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:50:43.390583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:50:43.201828Z digest=sha256:569d657b941dd568160980b06eaecab78be51e700a486e7154e4368df0007d4d