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Paper Citation Record · LEDGER

Hopf Bifurcation in a Generalized Goodwin Model with Delay

As of 12 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2411.16383.

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

pith.paper-citation-record.v1
2411.16383 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:18:20.071052Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy28
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c58a067a-4047-43bc-9872-9c0434c44209 · outbound

This paper cites A Growth Cycle: Socialism, Capitalism and Economic Growth.

Hopf Bifurcation in a Generalized Goodwin Model with Delay A Growth Cycle: Socialism, Capitalism and Economic Growth

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.999240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.032466Z digest=sha256:57febb113b92130bba6598d33b5d949590ef6f4d9a23f90d26d3a5f7473670d2

Observation 5be83756-f781-4856-ad01-a1e58e8efc25 · outbound

This paper cites Generalizations of Goodwin’s growth cycle model.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Generalizations of Goodwin’s growth cycle model

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.845334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.079416Z digest=sha256:8cd731827023ffac55092f69c4e14ef55595d8fac714eb1a758c799f24708d39

Observation 329036e4-8f13-4338-af1d-1d9f001a509e · outbound

This paper cites A clarification of the Goodwin model of the growth cycle.

Hopf Bifurcation in a Generalized Goodwin Model with Delay A clarification of the Goodwin model of the growth cycle

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.773943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.221848Z digest=sha256:aeed6b740438480d5a4230adf370389e2ed050d88ddb0a729ac402bff3634cf7

Observation 1bc93c34-aa78-4a2e-a9db-e3949dd589c5 · outbound

This paper cites A dynamical model of business- cycle asymmetries: Extending Goodwin.

Hopf Bifurcation in a Generalized Goodwin Model with Delay A dynamical model of business- cycle asymmetries: Extending Goodwin

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.753384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.247151Z digest=sha256:1a082ef2d841f89fb54b65520e83062da0f85665a4defe2fcb206111d040cdaa

Observation 18c1ea9c-6344-4a76-a11b-5055bc843e36 · outbound

This paper cites On the generalizations of the Goodwin model.

Hopf Bifurcation in a Generalized Goodwin Model with Delay On the generalizations of the Goodwin model

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.694281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.252622Z digest=sha256:dd8e6eaffd81b9baa79bc5f17a2709953dbbb843ff2074ce55dc54dece037dc0

Observation 9183c850-cbaf-4d86-82d3-d482193d5391 · outbound

This paper cites Growth cycles when workers save.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Growth cycles when workers save

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.550649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.258430Z digest=sha256:f27ee448111c74c6b1c6d9b4d3163c66afd08881a3c0ea3fb93fcd01bb3d4898

Observation a3600827-a180-4486-a671-c3b3a257a4ba · outbound

This paper cites Can “it” happen again? A reprise.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Can “it” happen again? A reprise

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.450959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.307493Z digest=sha256:08de41c8f588d5a2f29b0625a2f64e197df3dc14629c735ca3d33d816e79eb9a

Observation dd59d719-7644-44b8-a7a9-7688888af909 · outbound

This paper cites financial instability hypothesis.

Hopf Bifurcation in a Generalized Goodwin Model with Delay financial instability hypothesis

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.410426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.396358Z digest=sha256:1a7b6c7f90051d723e4bc19e3d95b60aba334d9a10bf56d6864255c5a16977ba

Observation 08718b65-7be2-4f5f-ae89-4215213f7d4a · outbound

This paper cites An analysis of the Keen model for credit expansion, asset price bubbles and financial fragility.

Hopf Bifurcation in a Generalized Goodwin Model with Delay An analysis of the Keen model for credit expansion, asset price bubbles and financial fragility

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.392371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.414494Z digest=sha256:9d89a11218aae910904a489095e2078371d6b31d798f67346d488f50ac895d87

Observation 563dfcd8-3aeb-4f01-a1a9-a5ed82be0a1a · outbound

This paper cites Inflation and speculation in a dynamic macroeconomic model.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Inflation and speculation in a dynamic macroeconomic model

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.343231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.420658Z digest=sha256:434502f9dadc4118fd9b1bad81811f1d43ba67609a0f3233443e91d9f67b942c

Observation 3f0c87fb-3d2c-4732-965b-30a1b44262b5 · outbound

This paper cites Chaotic behavior in a modified Goodwin’s growth cycle model.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Chaotic behavior in a modified Goodwin’s growth cycle model

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.230919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.467972Z digest=sha256:3b1cd414958bed7d3771603a1705905cdc3fa142a73a8a22622dc27912c75e83

Observation 39c7e7e9-0548-4578-8740-0b455a98111a · outbound

This paper cites A Goodwin type cyclical growth model with two-time delays.

Hopf Bifurcation in a Generalized Goodwin Model with Delay A Goodwin type cyclical growth model with two-time delays

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.186987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.553860Z digest=sha256:4ad8448c9060166a870213b7f020c9d78cc314937bbfb49d039029a6c6b8524a

Observation 3465b6fd-0fa8-4d0b-b236-9b5b8238f785 · outbound

This paper cites Growth cycles and inflation in a model of the class struggle.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Growth cycles and inflation in a model of the class struggle

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.170954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.591232Z digest=sha256:88663d1638d2858064e572276884a93fba7b7b8c9e07f3487fcdbeed7d6818c4

Observation b5debcd0-83f3-4c33-8d41-015e17f89a0b · outbound

This paper cites Implications of workers’ savings for economic growth and the class struggle.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Implications of workers’ savings for economic growth and the class struggle

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.108462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.601255Z digest=sha256:23ba740b5493318adb77cc955cf38c6a39338c511d87ed0b71cd418e2be8ffa6

Observation a8d20d28-8c39-4309-aa61-4cb21e14db1e · outbound

This paper cites A generalization of R.

Hopf Bifurcation in a Generalized Goodwin Model with Delay A generalization of R

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.082613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.606623Z digest=sha256:3df80fae04b635069e5ab1c54031fdddb0ad1183c9c64c8523d94cba70c9d09c

Observation 4488803f-741a-4b64-b1c3-b6e90b294093 · outbound

This paper cites The Goodwin growth cycle model as solution to a variational problem.

Hopf Bifurcation in a Generalized Goodwin Model with Delay The Goodwin growth cycle model as solution to a variational problem

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.066711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.634403Z digest=sha256:2d7cf42fb16c960d13f069a8740d1a44735c162f8087bc6f4bf9c2dc44b2e2a7

Observation 969d713b-e74d-466a-a784-a683819ecae6 · outbound

This paper cites Testing Goodwin: Growth cycles in ten OECD countries.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Testing Goodwin: Growth cycles in ten OECD countries

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.049765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.698040Z digest=sha256:3fe9ec3904568fc4c7a5d36ab293ee1b5fe7262b60bacfa1182f813e9540f314

Observation fe25dd1f-a66a-47e7-8fb7-ef4141376b63 · outbound

This paper cites A comment on ‘Testing Goodwin: growth cycles in ten OECD countries’.

Hopf Bifurcation in a Generalized Goodwin Model with Delay A comment on ‘Testing Goodwin: growth cycles in ten OECD countries’

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:21.000223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.747272Z digest=sha256:d721761ef364d94a652825757d10ec8fdd76e1ab62c50356edd1d7d81f821930

Observation e8e75a9a-a60e-45b6-b4aa-9570889d16ea · outbound

This paper cites Testing a Goodwin model with general capital accumulation rate.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Testing a Goodwin model with general capital accumulation rate

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:20.983298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.752935Z digest=sha256:fb17584c325c83ab1e17d06448b53025789b7b7c45afd8a733750059b1b93fb3

Observation d940ea4f-ba7d-4a14-b3d6-e0ea6ede948e · outbound

This paper cites Testing a Goodwin’s model with capacity utilization to the us economy.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Testing a Goodwin’s model with capacity utilization to the us economy

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:20.965338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.758293Z digest=sha256:ea9d6748eca549cb919c5fe2bec6e25f90d6d58defd04734bfb21a2f6fa47a73

Observation 385945f1-0dab-453c-a936-414b061db7a3 · outbound

This paper cites Dynamic analysis of policy lag in a Keynes–Goodwin model: stability, instability, cycles and chaos.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Dynamic analysis of policy lag in a Keynes–Goodwin model: stability, instability, cycles and chaos

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:20.851939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.793868Z digest=sha256:803a8670c24ca96ad35a50c4b217cba6514dac3c9eb6c444b2396b83e0c0bfa1

Observation bfc73a71-7040-46c4-8987-9e331a2b672f · outbound

This paper cites The relation between unemployment and the rate of change of money wage rates in the United Kingdom, 1861-1957.

Hopf Bifurcation in a Generalized Goodwin Model with Delay The relation between unemployment and the rate of change of money wage rates in the United Kingdom, 1861-1957

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:20.674586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.882050Z digest=sha256:c229de475444ba382183424e3e647c04f99757cdde106f6d4eb579c7a8cc2590

Observation c6e7e5d0-6a89-4656-841d-692fde11c7e0 · outbound

This paper cites On the zeros of transcendental functions with applications to stability of delay differential equations with two delays.

Hopf Bifurcation in a Generalized Goodwin Model with Delay On the zeros of transcendental functions with applications to stability of delay differential equations with two delays

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:20.657329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.943590Z digest=sha256:dddcface41e6006f932e3a81c93ec6685229e5c7bf9883cd0e7d9b1b3ee1ba62

Observation b995a231-824b-4266-81aa-8c89ecc27d65 · outbound

This paper cites Theory and applications of Hopf bifurcation.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Theory and applications of Hopf bifurcation

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:20.637806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.948162Z digest=sha256:ce7c4b265971570a3482e23e9a3b2d90f780aa41bf252a7c39b510d59befec1f

Observation 04b426da-a804-4015-85f3-82df74810a32 · outbound

This paper cites Springer, New York, 2009.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Springer, New York, 2009

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:20.618200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.952925Z digest=sha256:0fa5bbefe3cdeb6b198cd356685c96483ad26c63538e9bdcdff1932b2adc7625

Observation 7233d95b-15e0-4ac5-b4a6-77f1662aacf9 · outbound

This paper cites Local Hopf bifurcation and global periodic solutions in a de- layed predator–prey system.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Local Hopf bifurcation and global periodic solutions in a de- layed predator–prey system

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:20.439361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:19.959583Z digest=sha256:390ab1e90df3de604a9001991da8b399351878f561e552ab3e660aa2db36b117

Observation fdc90bf5-67c0-4361-964a-5307526abcd5 · outbound

This paper cites Hopf bifurcation analysis of a system of coupled delayed- differential equations.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Hopf bifurcation analysis of a system of coupled delayed- differential equations

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:20.419366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:20.064626Z digest=sha256:d2c0964716aee5e0b8774e5b669c220a61ab6e26763aa46eff2577161f4baf38

Observation afcb6a31-d297-4b53-8ab7-e1b6e4d93c51 · outbound

This paper cites Stability and bifurcation analysis of a Lotka- Volterra time delayed system.

Hopf Bifurcation in a Generalized Goodwin Model with Delay Stability and bifurcation analysis of a Lotka- Volterra time delayed system

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:18:20.230252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:18:20.071052Z digest=sha256:761ab1c6bae6ae2914d68df63ff2321176084370aadee3c59b8c40ad7079e0d4

Pith citing papers

No inbound Pith citation observations are available.