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Paper Citation Record · LEDGER

Finiteness of homoclinic classes on sectional hyperbolic sets

As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:1908.04424.

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

pith.paper-citation-record.v1
1908.04424 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:51:20.346591Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

20 of 20 outbound references displayed

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  • verified fuzzy19
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9826c589-f32b-41ed-82f9-aed4de22c0d2 · outbound

This paper cites On structurally unstable attracting limit sets of Lorenz attractor type.

Finiteness of homoclinic classes on sectional hyperbolic sets On structurally unstable attracting limit sets of Lorenz attractor type

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.594022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.277623Z digest=sha256:32029d316287539f89d179e15b9087179b388ce52d6c7b0191d10e53cf0b3878

Observation 39113d9b-1eda-4ca7-b1ec-8e8ed7aa5210 · outbound

This paper cites Singular- hyperbolic attractors are chaotic.

Finiteness of homoclinic classes on sectional hyperbolic sets Singular- hyperbolic attractors are chaotic

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.583772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.282328Z digest=sha256:970eb7d021d0300da096a2eaa9e54e7ea5f12584a9d07dcefd933dd4f708503a

Observation 7be23c4e-78a3-4133-ae22-22df5f77f6a1 · outbound

This paper cites On the sensitivity of sectional-Anosov flows.

Finiteness of homoclinic classes on sectional hyperbolic sets On the sensitivity of sectional-Anosov flows

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.573032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.285821Z digest=sha256:ae40e81d2ab320f940910c36b565b560f197ede80a8114cc381f6a3af820d397

Observation ec655c26-6753-4969-a08f-d38415c2c480 · outbound

This paper cites Lectures on sectional-Anosov flows.

Finiteness of homoclinic classes on sectional hyperbolic sets Lectures on sectional-Anosov flows

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.562129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.289649Z digest=sha256:00a2523fbc73f5e9c58c0b52e9f4de5d17970748f2f4f0d4e3898fd1ed9df602

Observation 295772eb-c65d-4ae2-9a6b-65d3e2a9f3f6 · outbound

This paper cites The global dynamics of C 1-generic diffeomorphisms or flows.

Finiteness of homoclinic classes on sectional hyperbolic sets The global dynamics of C 1-generic diffeomorphisms or flows

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.550725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.293303Z digest=sha256:cebadb0092869c0754f02f20baf956c8bc1b7df03a5271249a3c30bae42c4378

Observation 9ea50c81-3046-433a-bb4c-79afa49ed3f9 · outbound

This paper cites Heteroclinic connections and genericity of infinitly many sinks or sources.

Finiteness of homoclinic classes on sectional hyperbolic sets Heteroclinic connections and genericity of infinitly many sinks or sources

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.540069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.297513Z digest=sha256:87e038015911950ed63549f359048bdc1c8ac4936cbd8104402541c5304edff4

Observation abf6c402-6592-477e-b291-c9bfc3fafa9f · outbound

This paper cites Homoclinic classes and finitude of attractors for vector fields on n-manifolds.

Finiteness of homoclinic classes on sectional hyperbolic sets Homoclinic classes and finitude of attractors for vector fields on n-manifolds

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.529378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.301414Z digest=sha256:93b1fcf6e2cc177fb30084fae74b290ce651845f6ab6bbda39e3488965872bcf

Observation 9f21f7d1-75ea-42c1-a0a7-941fe969680d · outbound

This paper cites Ordinary differential equations with applications , vol.

Finiteness of homoclinic classes on sectional hyperbolic sets Ordinary differential equations with applications , vol

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.518533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.304765Z digest=sha256:a89e336c44a8329fa497fb309af7419c3ffea8ba170990b744ecf98ea9e0d354

Observation c4b6391d-fd25-4aef-b4bc-f6eea062ab20 · outbound

This paper cites Morse-Smale systems and horseshoes for three dimensional singular flows.

Finiteness of homoclinic classes on sectional hyperbolic sets Morse-Smale systems and horseshoes for three dimensional singular flows

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:51:20.384788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.308076Z digest=sha256:f8846004c851d7cdd339471c79f9fcb593e3621a19192754d2915306af4b5465

Observation b7e014bf-b643-4324-8e3c-223d119041b2 · outbound

This paper cites Structural stability of lorenz attractors.

Finiteness of homoclinic classes on sectional hyperbolic sets Structural stability of lorenz attractors

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.507587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.312079Z digest=sha256:e4d3f1b675abe04e2d9bbd9e3ec7288da7b51c9638a5df611baee59559c13365

Observation 194aca82-d18e-4003-861b-bb5be31100c0 · outbound

This paper cites Invariant manifolds , vol.

Finiteness of homoclinic classes on sectional hyperbolic sets Invariant manifolds , vol

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.495976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.315453Z digest=sha256:9bf693c9bce8ea92668e776632261193144db4d9df3bf3b63ae1fd435589f947

Observation a6a0e279-240a-4209-8cdc-146c71213590 · outbound

This paper cites A basic property of a certain class of differential systems.

Finiteness of homoclinic classes on sectional hyperbolic sets A basic property of a certain class of differential systems

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.485438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.318864Z digest=sha256:bbcfa2dcf5d47074d231a41df45b6441a37f3be959b69fbe0c84f970fc50f147

Observation ccbae15a-09d8-4b3c-960d-00a46d794b4a · outbound

This paper cites On (n , d ) - contractible orbits of vector fields.

Finiteness of homoclinic classes on sectional hyperbolic sets On (n , d ) - contractible orbits of vector fields

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.475028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.322397Z digest=sha256:12259d1c68a6dae77093f45e2a4c64d4e2183956f7da7c3af18a1cced5695465

Observation 9a19a056-263f-45f5-9ce5-8363c4665ce9 · outbound

This paper cites Sectional-Anosov flows in higher dimensions.Revista Colombiana de Matem´ aticas 49, 1 (2015), 39–55.

Finiteness of homoclinic classes on sectional hyperbolic sets Sectional-Anosov flows in higher dimensions.Revista Colombiana de Matem´ aticas 49, 1 (2015), 39–55

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.464488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.326272Z digest=sha256:298b8438fedb815aef9dbb0f7b94ecd6a8bd929c777dfb1fe598026c7bda1161

Observation e30dcb94-fcf7-48b4-bdba-de138e87cacd · outbound

This paper cites Finiteness and existence of attractors and repellers on sectional hyperbolic sets.

Finiteness of homoclinic classes on sectional hyperbolic sets Finiteness and existence of attractors and repellers on sectional hyperbolic sets

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.454245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.329656Z digest=sha256:ee6bc00220af4d6ba900658cecfbe684d4e4bb2ffbe0289e1071fb14625db40f

Observation e421ac53-e473-4e41-949f-18a4c81741a6 · outbound

This paper cites Sectional-hyperbolic systems.

Finiteness of homoclinic classes on sectional hyperbolic sets Sectional-hyperbolic systems

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.442919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.332816Z digest=sha256:ba0f4e6ecba076951e8e23a5a29ba2c730bed9470e720d904bd16dad45960e56

Observation 80fda644-5e97-441b-bf62-bc42857bc406 · outbound

This paper cites The explosion of singular-hyperbolic attractors.

Finiteness of homoclinic classes on sectional hyperbolic sets The explosion of singular-hyperbolic attractors

Reference 17

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raw_fallback, observed 2026-08-14T13:51:20.431599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.336173Z digest=sha256:3772754101670e8e9d349c1f06df9cfd84349d24b02dbfd4943f20d5f7b265da

Observation 4405430e-3be6-4c9b-94ef-a3d7f45569df · outbound

This paper cites Singular hyperbolic systems.

Finiteness of homoclinic classes on sectional hyperbolic sets Singular hyperbolic systems

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.420426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.339667Z digest=sha256:93e015fa47453f95b73f6a07aa391ea8a1a57cf5a63040c7374146b1025cd874

Observation 6cd2531b-1a2c-4fb3-a10a-c9c2dccd4f95 · outbound

This paper cites A global view of dynamics and a conjecture on the denseness of finitude of attractors.

Finiteness of homoclinic classes on sectional hyperbolic sets A global view of dynamics and a conjecture on the denseness of finitude of attractors

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.408482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.343053Z digest=sha256:ba889c45f0c52d8cfdcbcdee76e805dd6607931020b2a1a3e6d9affd605535ff

Observation d6239aac-6043-4f31-9239-08042de74144 · outbound

This paper cites On the singular-hyperbolicity of star flows.

Finiteness of homoclinic classes on sectional hyperbolic sets On the singular-hyperbolicity of star flows

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:51:20.396923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:51:20.346591Z digest=sha256:45151ec26655c397028f35e835626a8fb4b128abe2385918f4c86094cc82e08b

Pith citing papers

No inbound Pith citation observations are available.