Paper Citation Record · LEDGER

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem

As of 8 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.07307.

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

pith.paper-citation-record.v1
2506.07307 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:48:28.623520Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

22 of 22 outbound references displayed

verified exact0
verified fuzzy19
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0e5adeb4-fdc4-47a7-a314-5ac7a440b997 · outbound

This paper cites Bendixson.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Bendixson

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:34.212030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2bfa77b6-d4f3-44d0-a60e-631e089aec6f · outbound

This paper cites Chandrasekar, S.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Chandrasekar, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:33.945950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f6ad5058-0480-4004-b689-01cae018cc80 · outbound

This paper cites Chandrasekar, M.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Chandrasekar, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:33.701132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation da49b078-68cf-41d7-86b1-a4e1bdd9a033 · outbound

This paper cites Cima and J.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Cima and J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:33.415823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7c9190e8-006f-4fb6-ac93-bf6b20268cf6 · outbound

This paper cites an unresolved cited work.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:33.149913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3ffb25fe-1fa6-48a4-924b-60fc5f25f631 · outbound

This paper cites an unresolved cited work.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:32.883779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 69eca742-bb21-4fbe-ac8b-e97030b66e3b · outbound

This paper cites Dumortier, J.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Dumortier, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:32.587444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 96693ed4-d5cf-47ac-82bf-0dc440ef5981 · outbound

This paper cites Galeotti and M.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Galeotti and M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:32.343422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 31803afb-58be-4495-949e-cb8ae8f76630 · outbound

This paper cites Hebai, Z.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Hebai, Z

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:32.089414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 65faec8d-a3b4-4785-b4e8-a4297a841b9c · outbound

This paper cites Hebai, F.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Hebai, F

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:31.810051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6ae35576-93e3-4a69-a68c-65c65960d1a7 · outbound

This paper cites Hebai, L.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Hebai, L

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:31.527495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b5a14ef3-3097-443e-9e30-6c1941b5b588 · outbound

This paper cites Ilyashenko and S.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Ilyashenko and S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:31.307362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ab0f7879-8f7f-4593-a534-91199e98210a · outbound

This paper cites Liapunov.Problème Général de la Stabilité du Mouvement.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Liapunov.Problème Général de la Stabilité du Mouvement

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:31.098095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5dda6faf-367f-42c0-aafd-0b0fb759807c · outbound

This paper cites Llibre and C.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Llibre and C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:30.795553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b479c254-e2e4-460b-8dfc-f64adc8cfda7 · outbound

This paper cites Llibre and C.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Llibre and C

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:30.565287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0defb34d-eaa5-4a51-98b4-a83a03be354e · outbound

This paper cites Parthasarathy and M.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Parthasarathy and M

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:30.299593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9aeb3078-df75-47bb-a917-78859a786f94 · outbound

This paper cites Differential Equations and Dynamical Systems, volume7of Texts in Applied Mathematics.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Differential Equations and Dynamical Systems, volume7of Texts in Applied Mathematics

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:30.068815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a0cf6fef-754e-407a-85cd-cd2dde359e48 · outbound

This paper cites Poincaré.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Poincaré

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:29.832097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 54ae0035-7938-4be9-9e79-26a9ffdd88c8 · outbound

This paper cites Romanovski and D.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Romanovski and D

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:29.604877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 30582cae-213a-4260-a181-f9e021b5283b · outbound

This paper cites Ruiz and C.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Ruiz and C

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:29.320896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b8c24cbc-5692-433d-a232-90207f5d55b8 · outbound

This paper cites an unresolved cited work.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:48:29.076098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6232b473-1e24-4083-bb5d-e813a49ce51c · outbound

This paper cites Stachowiak.

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem Stachowiak

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:48:28.841713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.