Paper Citation Record · LEDGER

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum

As of 13 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2607.28758.

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

pith.paper-citation-record.v1
2607.28758 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T00:34:49.679577Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

verified exact0
verified fuzzy0
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ded2536b-0de1-4c88-ad97-1eeda8446f0f · outbound

This paper cites Oscillations of an elastic pendulum as an example of the oscillations of two para- metrically coupled linear systems.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum Oscillations of an elastic pendulum as an example of the oscillations of two para- metrically coupled linear systems

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.602088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56ee7319-2f7e-4999-8a0d-8e191a6cb693 · outbound

This paper cites Onset of chaos in an extensible pendulum.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum Onset of chaos in an extensible pendulum

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.607111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f670cf0b-a457-4dbb-9348-8ceea94e800f · outbound

This paper cites The order—chaos—order sequence in the spring pendulum.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum The order—chaos—order sequence in the spring pendulum

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.611942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f369ab5f-0a04-40a7-951a-49dc894e7f49 · outbound

This paper cites Phase-space organization of the elastic pendulum: chaotic fraction, energy exchanges, and the order-chaos-order transition.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum Phase-space organization of the elastic pendulum: chaotic fraction, energy exchanges, and the order-chaos-order transition

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.616362Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7b48a1c-3ebb-489c-a3f0-0b1a8f18f40a · outbound

This paper cites pumping-transfer of energy.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum pumping-transfer of energy

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.620843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83a77cfb-0deb-441e-bf1e-70c229c1e9ff · outbound

This paper cites Regular and chaotic behaviour in an extensible pendulum.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum Regular and chaotic behaviour in an extensible pendulum

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.625299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b849bd7d-2faf-4cee-a183-c31839fd1bb8 · outbound

This paper cites de Sousa M, Marcus F, L.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum de Sousa M, Marcus F, L

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.630482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb46ffa8-4246-4d07-96ec-90e0e038c640 · outbound

This paper cites Deterministic chaos in the elastic pendulum: A sim- ple laboratory for nonlinear dynamics.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum Deterministic chaos in the elastic pendulum: A sim- ple laboratory for nonlinear dynamics

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.635243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08d1a6f0-ed55-40eb-b07b-469c6eb71b5c · outbound

This paper cites The motion of the elastic pendulum.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum The motion of the elastic pendulum

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.639414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00fb1225-d3ec-4f3c-aea4-b8a67b5cf4b0 · outbound

This paper cites Understanding the order-chaos-order transition in the planar elastic pendulum.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum Understanding the order-chaos-order transition in the planar elastic pendulum

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.643422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d62e534-8934-4ccf-8814-794e35c031ca · outbound

This paper cites Locating order-chaos-order transition in elastic pendulum.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum Locating order-chaos-order transition in elastic pendulum

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.647975Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e20e4b57-dae0-4b1e-b282-e2ff9d2464ae · outbound

This paper cites de Sousa M, Schelin A, Marcus F, L.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum de Sousa M, Schelin A, Marcus F, L

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.652767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87f9b86c-9aca-4614-94a1-aa5aa3782864 · outbound

This paper cites Characterization of a spring pendulum phase-space trajectories.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum Characterization of a spring pendulum phase-space trajectories

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.657294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 385cc147-69c8-4ba5-a45d-366eb48de15d · outbound

This paper cites Stiff differential equations solved by Radau methods.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum Stiff differential equations solved by Radau methods

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.661976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88fbbc05-8155-4e78-8a6c-89537fc19dff · outbound

This paper cites Differentialequations.jl–a performant and feature-rich ecosystem for solving differ- ential equations in julia.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum Differentialequations.jl–a performant and feature-rich ecosystem for solving differ- ential equations in julia

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.666438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a96311fd-dc8c-4ef6-ab6c-29ed05f494f1 · outbound

This paper cites Numerically optimal Runge–Kutta pairs with interpolants.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum Numerically optimal Runge–Kutta pairs with interpolants

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.671034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9465552-2d6a-49fa-9b3f-d0e8cfdc1349 · outbound

This paper cites Mathematical Methods of Classical Mechanics.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum Mathematical Methods of Classical Mechanics

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.675288Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4be97d8b-64b5-4cc0-a954-9911035eb335 · outbound

This paper cites Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields.

A Framework for Intrinsic Poincar\'e Sections and Phase-Space Manifold Visualization: A Case Study of the Planar Elastic Pendulum Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T00:34:49.679577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.