Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T16:02:34.823498Z
Paper Citation Record · LEDGER
Nonlinear oscillations of strings and beams
As of 20 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2508.19091.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
31 of 31 outbound references displayed
- verified exact14
- verified fuzzy10
- unresolved5
- parse uncertain0
- malformed identifier1
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 624cd21c-9084-440c-8a25-fbfa409ad56a · outbound
This paper cites Bauchau and James I.
Nonlinear oscillations of strings and beams Bauchau and James I
Reference 1
- Resolution
- verified exact
- doi, observed 2026-08-05T16:02:35.006611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b0d99f6b-3906-40b2-a73d-e350c845f2f5 · outbound
This paper cites Landau and Evgeny M.
Nonlinear oscillations of strings and beams Landau and Evgeny M
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:02:35.215896Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0738959c-40ed-477c-9545-084051834906 · outbound
This paper cites Lazer and Patrick J.
Nonlinear oscillations of strings and beams Lazer and Patrick J
Reference 3
- Resolution
- verified exact
- doi, observed 2026-08-05T16:02:34.997759Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e6bba81c-bc52-4c45-9e6c-6415f83457a1 · outbound
This paper cites Heung Choi and Tacksun Jung.
Nonlinear oscillations of strings and beams Heung Choi and Tacksun Jung
Reference 4
- Resolution
- malformed identifier
- doi_truncated, observed 2026-08-05T16:02:34.989018Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1a3ea554-6d9a-4de6-af1a-5efec19f0b7d · outbound
This paper cites Fundamentals of nanomechanical resonators, volume 49.
Nonlinear oscillations of strings and beams Fundamentals of nanomechanical resonators, volume 49
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:02:35.206540Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7870d4db-6cee-4d2b-8295-5054bb4f81a9 · outbound
This paper cites Nonlinear dynamics of nanomechanical beam resonators: improving the performance of NEMS- based sensors.
Nonlinear oscillations of strings and beams Nonlinear dynamics of nanomechanical beam resonators: improving the performance of NEMS- based sensors
Reference 6
- Resolution
- verified exact
- doi, observed 2026-08-05T16:02:34.979324Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 27ec82c3-ad71-4e89-ab00-3f8215d30f44 · outbound
This paper cites Nonlinear Oscillations.
Nonlinear oscillations of strings and beams Nonlinear Oscillations
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:02:35.197663Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 00c586e3-4919-4e29-885e-102cc420a35a · outbound
This paper cites Nonlinear oscillations of Hamilto- nian PDEs , volume 74 of Progress in Nonlinear Differ- ential Equations and Their Applications.
Nonlinear oscillations of strings and beams Nonlinear oscillations of Hamilto- nian PDEs , volume 74 of Progress in Nonlinear Differ- ential Equations and Their Applications
Reference 8
- Resolution
- verified exact
- doi, observed 2026-08-05T16:02:34.969811Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a9ed5ee2-72b7-4bfd-a54f-07866e7fd280 · outbound
This paper cites Cantor families of periodic solutions for wave equations via a variational principle.
Nonlinear oscillations of strings and beams Cantor families of periodic solutions for wave equations via a variational principle
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:02:35.188858Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 25e3a28b-716f-41bb-b88f-089d9192d9d3 · outbound
This paper cites Periodic solutions of the equation utt− uxx + u3 = 0.
Nonlinear oscillations of strings and beams Periodic solutions of the equation utt− uxx + u3 = 0
Reference 10
- Resolution
- verified exact
- doi, observed 2026-08-05T16:02:34.950434Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 80b4a165-2aac-4264-85e5-9d4cb9a5c216 · outbound
This paper cites Periodic Solutions for Completely Resonant Nonlinear Wave Equations with Dirichlet Boundary Conditions.
Nonlinear oscillations of strings and beams Periodic Solutions for Completely Resonant Nonlinear Wave Equations with Dirichlet Boundary Conditions
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:02:35.180105Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9d4db3d2-25f3-42e1-94e2-448d825c32d8 · outbound
This paper cites Periodic solutions for a class of nonlinear partial differential equations in higher dimension.
Nonlinear oscillations of strings and beams Periodic solutions for a class of nonlinear partial differential equations in higher dimension
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:02:35.171433Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation df192e1a-c781-40ae-892a-2daee84c3c24 · outbound
This paper cites Families of Peri- odic Solutions of Resonant PDEs.
Nonlinear oscillations of strings and beams Families of Peri- odic Solutions of Resonant PDEs
Reference 13
- Resolution
- verified exact
- doi, observed 2026-08-05T16:02:34.931182Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c48fee15-5f93-489e-9c3b-a9a5d00ca0a3 · outbound
This paper cites Families of Periodic So- lutions for Some Hamiltonian PDEs.
Nonlinear oscillations of strings and beams Families of Periodic So- lutions for Some Hamiltonian PDEs
Reference 14
- Resolution
- verified exact
- doi, observed 2026-08-05T16:02:34.921655Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ced23bee-39be-4082-b310-d545868a5fd9 · outbound
This paper cites Periodic solutions of a class of weakly nonlinear evolution equations.
Nonlinear oscillations of strings and beams Periodic solutions of a class of weakly nonlinear evolution equations
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:02:35.162382Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 60b24710-4e94-47b5-8b41-28df730f921c · outbound
This paper cites KAM for the nonlinear beam equation 1: small-amplitude solutions.
Nonlinear oscillations of strings and beams KAM for the nonlinear beam equation 1: small-amplitude solutions
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T16:02:35.117153Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fc81d768-8ba9-48ed-8e4c-60246a781542 · outbound
This paper cites Periodic solutions of beam equations with symmetry.
Nonlinear oscillations of strings and beams Periodic solutions of beam equations with symmetry
Reference 17
- Resolution
- verified exact
- doi, observed 2026-08-05T16:02:34.912206Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4b93ef6a-9922-47d5-ae01-235ae314a3fc · outbound
This paper cites an unresolved cited work.
Nonlinear oscillations of strings and beams Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T16:02:35.153519Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b4dbbfe2-4e40-465f-9a81-9942bd53b456 · outbound
This paper cites Periodic solutions for the 1D cubic wave equation with Dirichlet bound- ary conditions.
Nonlinear oscillations of strings and beams Periodic solutions for the 1D cubic wave equation with Dirichlet bound- ary conditions
Reference 19
- Resolution
- verified exact
- doi, observed 2026-08-05T16:02:34.902516Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 287a8f5d-6579-4304-9d1a-3538ee045ff7 · outbound
This paper cites Trees, trunks, and branches -- bifurcation structure of time-periodic solutions to $u_{tt}-u_{xx}\pm u^{3}=0$.
Nonlinear oscillations of strings and beams Trees, trunks, and branches -- bifurcation structure of time-periodic solutions to $u_{tt}-u_{xx}\pm u^{3}=0$
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T16:02:34.795753Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 269cff81-3134-40c7-b1ec-8c31315c3bcf · outbound
This paper cites Ordinary Differential Equations and Dy- namical Systems , volume 140 of Graduate Studies in Mathematics.
Nonlinear oscillations of strings and beams Ordinary Differential Equations and Dy- namical Systems , volume 140 of Graduate Studies in Mathematics
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T16:02:34.798819Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6917489b-dcb6-446e-8fce-e61c80296c49 · outbound
This paper cites Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations.
Nonlinear oscillations of strings and beams Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T16:02:34.801854Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5618c413-8435-4f03-ab55-04e4e24e3959 · outbound
This paper cites In preparation, 2025.
Nonlinear oscillations of strings and beams In preparation, 2025
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:02:35.145209Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4738e929-72cf-4d8f-a24a-e580a68c2cf0 · outbound
This paper cites New class of time- periodic solutions to the 1D cubic wave equation.
Nonlinear oscillations of strings and beams New class of time- periodic solutions to the 1D cubic wave equation
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:02:35.136205Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 041ed9e6-18b6-4475-995e-4ec9eb058351 · outbound
This paper cites Instability of Flat Space Enclosed in a Cavity.
Nonlinear oscillations of strings and beams Instability of Flat Space Enclosed in a Cavity
Reference 25
- Resolution
- verified exact
- doi, observed 2026-08-05T16:02:34.863686Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ee0b4f39-5dcf-4277-9569-269f80f4de12 · outbound
This paper cites Time- Periodic Solutions in an Einstein AdS–Massless- Scalar-Field System.
Nonlinear oscillations of strings and beams Time- Periodic Solutions in an Einstein AdS–Massless- Scalar-Field System
Reference 26
- Resolution
- verified exact
- doi, observed 2026-08-05T16:02:34.853634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f939320e-2335-40bf-9cb7-61aeb1d14d78 · outbound
This paper cites Complex structure of time-periodic solutions decoded in Poincar´ e-Lindstedt series: the cubic conformal wave equation on S3.
Nonlinear oscillations of strings and beams Complex structure of time-periodic solutions decoded in Poincar´ e-Lindstedt series: the cubic conformal wave equation on S3
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T16:02:35.126989Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4613754e-64e5-4b99-97f9-9088c4d9953d · outbound
This paper cites doi:10.1007/s00220-004-1255-8.
Nonlinear oscillations of strings and beams doi:10.1007/s00220-004-1255-8
Reference 2005
- Resolution
- verified exact
- doi, observed 2026-08-05T16:02:34.940956Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b24cdb43-4035-4bc1-bba4-761746e2d46c · outbound
This paper cites an unresolved cited work.
Nonlinear oscillations of strings and beams Unresolved cited work
Reference 2008
- Resolution
- verified exact
- doi, observed 2026-08-05T16:02:34.960197Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 33d1a2c7-8a78-4df4-90b2-fe9d9b4b641d · outbound
This paper cites New class of time-periodic solutions to the 1D cubic wave equation.
Nonlinear oscillations of strings and beams New class of time-periodic solutions to the 1D cubic wave equation
Reference 2025
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T16:02:34.810895Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77f1234f-7c0a-453c-ac3a-db82334ff1d8 · outbound
This paper cites an unresolved cited work.
Nonlinear oscillations of strings and beams Unresolved cited work
Reference 2789
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-05T16:02:35.104793Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.