Pith. sign in

Paper Citation Record · LEDGER

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

As of 17 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 2026-08-17T06:30:58.91139+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=sha256:347a3278f35746139ac2645353b0e0600832e4d2800c747744f1eabb74059242

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=sha256:5fcdbed1697b00102c69ae6a56ca2e7a6f5281e29018e553d05bc7c56a532351

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=sha256:1b637e31a789a44b31664226ef654f83a82ea76633947920ad43885094b2bc18

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=sha256:9399dbd3d51ec652e8ee448fee000403bfbe666581212f74751af624cb0c7a2c

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:f22bc8c3e13271b9bbdf8c361d80968f3d1dadbe9f6f7736c8b3d5231f79fb05

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:bafd35258a474b0c6788986585c83cfd06f35a03c5588df016facf78b6604554

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:d605256af0a34024cf36fc317ae9af74003b787a27a512391e57aeb07293a4d8

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:a546af9338be443848c71f6bdf36be875240a7c2158fc1c62f2402678c952aec

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:f6492c48f587676bffdbeff349cbc0f8c69bf2c8e3d58b7c91ec82e973d08888

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:f7f43e7719f39873a4ad90ba391aae603967ba0400de0eef27931a486afd2aea

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:af9e5fe4e574796099f42fa008196b48b9220f0c3de8272928b25aa8599f0e9c

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:dfdc8e9938feaf9e3567c49e5d8c78beaf9ab4570d2f3fa26683a88013ff693c

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=sha256:6dc77eef843a2d487a501ada0203aa85eca214f538fe0e4832e8c73695d1820a

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=sha256:927309446ee850b38587cd020732c21b003ba26b010d1e2949d0c5342a207c83

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=sha256:92938499ce76e5b6ea78928485d7414a29fd503c047978d3987be361a5895a01

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=sha256:314580c3761a3bfb05ae85f1b7de4c8cc4d0c91ddb1fb7687a33e2179fa0a1c1

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:d951ecdac123cc0e20abd747f7dbce8a2a21e7eb7f6612d3cd1b12bff1835090

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:bd3f8c23a1376f07a3e1d3c93080261c61b91f00c7b4f5405b79d0fe47ff0cc0

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.055609Z digest=sha256:8d8aa5ef04f6ee8f8ee554dd11be031ca8b0c8badeb15fa07be1460029cddd77

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.058746Z digest=sha256:b09b2ccd960b532b9270c4b228bfd0ba2b931815a588476c4e98be9a93d53f51

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.061726Z digest=sha256:7c0c51409b435439d0bda9f76dd1fc0ad4c5e89080cc002f8785550d23cb1496

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.064760Z digest=sha256:a87f347bcb5a951b86d4f4406a6fb475672606a2b0425aae86a1beef86cdf031

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.067754Z digest=sha256:85713f31376bd146686babb2706ec096fb804c90820ef8d03ca519cbce1f1ed1

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.070883Z digest=sha256:5e5d6be543b3f8a1278ad3a44f06bcc50cd6b3736bfd637a7dc140e09313e1f7

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.074112Z digest=sha256:6352131f97eeaf0027d8cee75669028a0ad4a8c7561fb6c9b15b11485d2b6c68

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.077050Z digest=sha256:ff3ee5b0b60c6d047bb450131e92cdc3e62b331d433890dd151899d95c9afffd

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.080172Z digest=sha256:1eb399704b3568cbd3e5d7bae6730158ab78b909aa265c67ab626e77854f71d7

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.083608Z digest=sha256:5245dfd4b2c0118740f328136fcc65ca4e83158b7ca649a5a75edda824a199a3

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.086564Z digest=sha256:26637e32b97ab9705e7b6915ad25f68c307e90d65b99e87cd2d1512c8618412d

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.089387Z digest=sha256:30918559222fc168c0331e40e77a673011a3fc47a7db67a61ed7387925c77d11

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.092265Z digest=sha256:b6a5e905a10ab588598c56e3ebd3911330540b862cfd48e88f49b12dfcae83db

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.095029Z digest=sha256:34f2689f8587822927354af9a96fedca370fea97b6085cfa0a5f31ad1987c07a

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.097932Z digest=sha256:90df2de29e050e74a908365aab025293f3325735e787362d183a47a1f33f0672

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.100787Z digest=sha256:274670acb325f1fd526df7c29cfc5dff19733e0d65de75e34b712226e1adff6b

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.103673Z digest=sha256:3ffa6a32804a09401ec7c4ef6270e81b542eaa0a755156e3c168f01afa77a4e6

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.106641Z digest=sha256:633e4153808f640a505502c0da64db9f9bf9147ef0e45e5a334f357a25cbb51b

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.109488Z digest=sha256:34936d01dd804cdd58b05d279a0d6662d8200ba1c26a828095836e01224fcb01

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.112904Z digest=sha256:78d3b056767499e5ea8173c0a8b07b77cbbd53c84611151538384de4c97fa1c8

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.115303Z digest=sha256:96bcaf304b55d1625ce4a5026d8ed8c45d6be5055bb73a99df505b6e85b20d27

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.117810Z digest=sha256:9a945689f5e9695da482a027767fa514bba154696429937fc8b54893a6951722

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.120308Z digest=sha256:d47b35369a88a648984d8a32cdfdd20330850ad3686cbe9db21830668f2536a3

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.122706Z digest=sha256:1d20f1a580f19459c705f921b1c826cc75eac42bc26835d27ccd10a63292497d

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.125237Z digest=sha256:0b853ab0b769a496460a68904ab6593f658e09715bd186b2f0fe4b36d4cf533c

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.128812Z digest=sha256:80afdf228a6c107aa6bab92653836a49c9ba1a74dc41f2f199bc19efd9b9899b

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.131425Z digest=sha256:f6a99330f9eccac11ff77eb0b1557fce74672df0eb779159bc4709bd3b9e1994

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.134009Z digest=sha256:945118d84e6719767ef65c13568c7009ff6302dcb38ee1fdc4c31c0f2acddea1

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.136803Z digest=sha256:ea049e157170600b0337b63c3f285a12e9e85219387938a1a0ea4e3813b663f4

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.139309Z digest=sha256:7321141c3f1140923deabe7c89546d90398ff828bc94b5f142d920a9f57633ad

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.142500Z digest=sha256:89441ce9b20f3e5f39836aa4774ec587c26c89061b8ac22ae828cb479ea571a4

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.145556Z digest=sha256:00b13849830fd49d4275f4ccffc457925a29f6f9424965e36019d8c807939b3b

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.148850Z digest=sha256:dfc5049cc793eb4d379a2585f57d5b240365011c6f4ac536f849e67320d7b3e7

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.152204Z digest=sha256:8ecc19ea6ad1b0d63aae9074d0d5f80c3e3ebb0d5a65c75232cf8d8a8b529a63

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.155453Z digest=sha256:32144b2b545b00961c4824306efcec9e3fab7a0cf7a8146fc4a9e5ff2ad9897b

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.158472Z digest=sha256:71dfa78c77777b9d0243a6edc6c7f4532da1342969e3c371929f28a533ab5e90

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.161891Z digest=sha256:a621a86879dae53af5ea6b9cc6abe52affd89f50e46edb26f21aa74ac8f18166

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.165044Z digest=sha256:dbc3adca5dcef52d2dab1d629e69e209b650f60efbe4b5f9e2c9b5685512de90

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.168384Z digest=sha256:59c89e8244564162b1b811d0f426860692b1cade7a9aaecbdd2e9a67784a7076

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.171569Z digest=sha256:5a64642c8694bbd5ef94ae7cac96297acebf27e262f01854db62ab1b9b8df81f

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.174768Z digest=sha256:570e29161fe90e4792def20bc8f2344fc597574226e3c8443c85c48ea5cd8c06

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.178202Z digest=sha256:c7c231dc3ca844c6e9f73918eda117f7f81cdc50d28173d8edb8de793edfa176

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.181360Z digest=sha256:05668869ac1bfc5a86575d798afd8a74def7c27bb0bd6de6dd0e1b9f63d77918

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.184365Z digest=sha256:a5cbe105c26ce3b51de03b8ecf8eee39e19405a7fc8245c379d2fea17a0af3a0

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:b12bbbc65829470d2568a8b0538b1bfc9915a191523ba9649b05d458dbe56102

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.190822Z digest=sha256:2f23da42705acdb7b1553a8695aaf794ca7523f6beb5f160aa4e4144d77e37a9

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:bdac74619c048ce03431e17640925c27c23434369d9739afc92fb42f20399eb8

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.196734Z digest=sha256:106691a41496ed5c977b949db393c44e103340523add3891655966538557c214

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:dbb1e96a3e1cf78d849851c6e9688a655af159278b5a1736e8644b1aabc7b6c3

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.203609Z digest=sha256:fed125247b8b5df878e1fe3d423a64de3743524728167e2493de4e59e8cae8c8

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.206874Z digest=sha256:f1a90da1edac7ac6552d42538946207519c83cbbc544977a9fd8b42c9d54dc48

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=sha256:8e4c6e40845ca6f25e29854060222550eef8a1310e27c30e66779f4b95cab895

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.213391Z digest=sha256:b97e9bc30bc96648261dba52ff3cdf7f34a429ea58d1256a661f1ecd78b432d6

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.216495Z digest=sha256:ef2c5652fe51dafc05c3757adc6762c38791f67b275d4b90a5d0950513470bad

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.220034Z digest=sha256:5661dfda4371314379a2a7ca468530ea60d5f138b85fc4313050fd589d7862a7

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.223206Z digest=sha256:9b5b7d688549a3803b43dc540ee92983881fece16579df8e1068f64e5ea8fbaf

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.226061Z digest=sha256:9ece59487cbf8dfae69df7fa7720dddd1d8c99797f86ca8676b22eb3ff6d06bd

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.228988Z digest=sha256:cdc45da4e39c3bc4896d95f8dd9dc30c1e4c0ae819bbf147db806695f194a628

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=sha256:83f84a9ea162e29e8d0077898f87c6c342b66c728fab948cb91221e898dfe155

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.234612Z digest=sha256:dbbd694262e0d23a41ec6114f951f2c56735d386c46447cfdd1c12c4b3c200c6

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.237589Z digest=sha256:37b2d1db14013d6470a2aadfe455505f9937271e5f724604761d6adcdd3832ae

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.240408Z digest=sha256:f79b5edbdbac5f95dabd2287f29b64115f9ef3f53728fd10484e1c76b3339c26

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.243412Z digest=sha256:373a2ae4188cb93bdcf8ce6d6a1b1a9501654c5a95f19299112b390513bda71b

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.246191Z digest=sha256:b0c785fc10085bc0918c4c97d99c505f5c941610618c8d5de4167c0cdcf949e1

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.249085Z digest=sha256:750985724840b129ade8e9936920c5f2466402666dd986d82cedcf657aa15c3a

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.251856Z digest=sha256:2bf8fdc9442f7ebafedec2bd4f869d6204cb1fc2b09aaa881196bdf281f3b914

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.254298Z digest=sha256:7098ea4e324329173895697f0d10cd7f5b97863634688ed2075636fec7da02ba

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.257381Z digest=sha256:cedb76e6e97b8921b544a1b9c233c193a6ef05a25d973bd972c9e3fd209f98dd

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.260523Z digest=sha256:ab9afe4ac34f309220fdf342deb800917185417456c30d560402a639c7878b72

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.263518Z digest=sha256:d70564709b29e313dbb88935d2bb9699227672d48e64f72e435e4454d917906b

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.266776Z digest=sha256:8e62208489ba8e11afeb4d75234d2cc9e0793d530855852ddb5dad23ff3854ad

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=sha256:6473225104a31a307c4825321e667783ea05dae89cf14d3cde44774f3da66a71

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.273385Z digest=sha256:b970c482f4459fab1d768356ac6a161b71390de21c39e4c078280e5045dc2633

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.276948Z digest=sha256:991a42a4a17a8257c91878ee800bb81e29a37c5d6ad4dd02080fac9c718430b7

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T00:46:56.280191Z digest=sha256:1986a34ac7f6369031f6d7e96e3bc5ff091702fd2e69f54eb7e6e21a6012383b

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=sha256:30850f4ffa965716ccc770915fa28ab46a332886aeeb3fa3eb98a2d476b2c14a

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=sha256:9df4464f0ad2882241bf2e4d71179efe43fd7c9ceeac32f8e09c0183af7a09c0

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:b2333b2e975d02806a2b445cc2e392ad3a47343d3949e2b7566ba66525c4d800

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:c90f9022eb642ceca5a9ec099cd71bf7fbcf5dfef5dbd71aa93ba5b02ae0e9dc

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=sha256:19555201d7be3409ba9d1483c99bbd969e81cf024f94b9a3d4c5ebea2767bd17

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.201828Z digest=sha256:7cef66306ea38a35224c7d13cea70413b5b0fb8de014fa9e17e071e034c53684