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Paper Citation Record · LEDGER

Finiteness of homoclinic classes on sectional hyperbolic sets

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.277623Z digest=sha256:dfa171fb511072bc49c4d6a4ad46331855556ccabb1b90c22cab8db4239d3fbe

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.282328Z digest=sha256:95cb208697ae2970c496b91e5974ddc43dc2b6464239124f73af94111840c959

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.285821Z digest=sha256:57f2b7a3279cdca1fced1a46fc35d3de4af800f72b789a35ac530bcb649bb8ab

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.289649Z digest=sha256:c83654c177a1b1d0d649fdddcf2c7f9fa50eec7c99a7a6c6a490dd7eb261cc3f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.293303Z digest=sha256:f7f5e45c52ed1216d48d1547f92e91b1429013428d313f8f58e52bb5db87b2d4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.297513Z digest=sha256:e117d347aadcab300fadd7f314d6f529033bbcb94b73f55302dba51c6837f054

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.301414Z digest=sha256:5cd102b31ef91fdc3034fbbdab50bc278ecf95b53668fb2c25a23280c4152495

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.304765Z digest=sha256:71649196f0dad6ca23a2f240231411916aaaf3f84d27e9402668abf4853b5d57

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.308076Z digest=sha256:9ca42d2411c06f1fa179bc121533dc4fff922f47be7a2f0bf97a5c080179e67c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.312079Z digest=sha256:00573a87af2a26e11b4cf6d3b6a0921058f8a4bc6a49c4f87bff6af44c66b09c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.315453Z digest=sha256:bda3624c199c2cf1a24e09534f09b1299694562339f3357ede2d0f6b18a7545f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.318864Z digest=sha256:1a056dc8a2041e6c7339c78aaafec43f70f46bc815ef660fc87b699ce45381a4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.322397Z digest=sha256:ac8a0394a609c13630ecf09d674f0c879a20d990bc76cbc129f557aefa649c29

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.326272Z digest=sha256:c35b57f3738e2dc03d58c2191d52400ccf3b8399f05f87ab0cf90c452e6d4304

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.329656Z digest=sha256:95ceb72360384a1743a6c30f7ba9ea70e5f3ecc0d327256c5e051371aaeb0887

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.332816Z digest=sha256:f1c0eb4b032adeb2b2a1fc5d2ccb041d71becd8edce8d02a9051d11c7d9b4f8e

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

Resolution
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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.336173Z digest=sha256:1c6ab7d60d87f0b639649306d23e8ba431baf2df45cca0a9ea77730ecde6227b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.339667Z digest=sha256:f23fe682f7277aa7f555399591fd74b2400aea491b95af7e2fb425d55c67f487

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.343053Z digest=sha256:c369209c0ec687f0275d4e8f961af09149290232b6e8591120cb654444edc3c6

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T13:51:20.346591Z digest=sha256:8d1587e6cffa759bec6819f47e4add192184bbc83ddb2e9cf6bd64340bcb754d

Pith citing papers

No inbound Pith citation observations are available.