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Paper Citation Record · LEDGER

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing

As of 19 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.05777.

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

pith.paper-citation-record.v1
1908.05777 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:11:54.854961Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

24 of 24 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 95e8a61a-9469-4bdb-922d-e8def13f8c13 · outbound

This paper cites Qualitative Theory of Second-Order Dynamical Systems.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Qualitative Theory of Second-Order Dynamical Systems

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.745210Z digest=sha256:541d1ce7099d9ea2714dcef8e1b997a975d586e66acf0a94b2f8809fd60c33df

Observation 0270f293-0975-486f-8dc1-1cb014114001 · outbound

This paper cites Control of Chaos in Atomic Force Microscopes.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Control of Chaos in Atomic Force Microscopes

Reference 2

Resolution
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raw_fallback, observed 2026-08-14T13:11:55.235978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.750593Z digest=sha256:45ffaa52402ba2ab2bcd04ae148db8fd7a3506a6b29636de6803880e39067fbb

Observation f2d587cd-1c66-4a72-bfc3-db92b0aa8c81 · outbound

This paper cites Melnikov-Based Dynamical Analysis of Microcantilevers in scanning Probe Microscopy.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Melnikov-Based Dynamical Analysis of Microcantilevers in scanning Probe Microscopy

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 65e7ff91-9852-43d5-87e1-b1a136e635b9 · outbound

This paper cites Compensation of Scanner Creep and Hys- teresis for AFM Nanomanipulation.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Compensation of Scanner Creep and Hys- teresis for AFM Nanomanipulation

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:11:55.204990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.761199Z digest=sha256:21db06fb32a988b9b72f1869909a78bbe571aac8863940ea62cd3a95df62d467

Observation 8f0eba87-3530-48d8-9d00-8d9820c0107a · outbound

This paper cites Atomic Force Microscopy in Process Engineering: IntroductiontoAFMforImprovedProcessesandProducts.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Atomic Force Microscopy in Process Engineering: IntroductiontoAFMforImprovedProcessesandProducts

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:11:55.189927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.766600Z digest=sha256:1eb19609a708512e590308aecaec8b0340e8aba9cc5168cb83d8ac36e9db2cdd

Observation 16945103-2121-457a-adc2-94d1ed2353c1 · outbound

This paper cites Nanotecnology, Scanning Probe Microscopy- Principle of operation, instrumentation, and probes.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Nanotecnology, Scanning Probe Microscopy- Principle of operation, instrumentation, and probes

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.771638Z digest=sha256:be6e6686ef67292d1fbfe71e578af945140a7405b5c10e72c8c6328346811f95

Observation c507b9d4-755b-42b6-a859-4257f791b6ef · outbound

This paper cites Experimental Setup for Dynamic Analysis of Micro-and Nano-Mechanical Systems in Vacuum, Gas and Liquid.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Experimental Setup for Dynamic Analysis of Micro-and Nano-Mechanical Systems in Vacuum, Gas and Liquid

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:11:55.159577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.778060Z digest=sha256:95de1ce6ee484845299dfe458c47458284f20a783ed8f2ff1cda02aa2ce26821

Observation 7474c06e-ffdc-49de-b8a6-4e92f8546c8a · outbound

This paper cites Interatomic forces and gas Theory form Newton to Lennard- Jones.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Interatomic forces and gas Theory form Newton to Lennard- Jones

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:11:55.144661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.782519Z digest=sha256:2ed87cb3034a0b2a6120220d28e2acb68f096a3659e2c14e0249772d642a20ab

Observation 7fcb1965-bebf-4403-8042-bdd88bd88861 · outbound

This paper cites 3D Printing and Bioprinting in MEMS Technology.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing 3D Printing and Bioprinting in MEMS Technology

Reference 9

Resolution
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raw_fallback, observed 2026-08-14T13:11:55.129599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.786943Z digest=sha256:a94613e5e8857accb276ddd2c7c3b113802747c11341033656ee06e11ef3747d

Observation 39c7f134-34de-42cc-a9be-3bb2b0a76f17 · outbound

This paper cites Nonlinear Oscillations, Dynamical Sys- tems,and Bifurcations of Vector Fields.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Nonlinear Oscillations, Dynamical Sys- tems,and Bifurcations of Vector Fields

Reference 10

Resolution
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raw_fallback, observed 2026-08-14T13:11:55.113545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.791539Z digest=sha256:d761f8bf67945edbbb32c1226db167a637db68580746b65e5a8234ea7de09317

Observation f3dfadbf-9a3d-435a-bc4f-5f09e192d74d · outbound

This paper cites Normal Forms, Melnikov Functions, and Bifurcations of Limit Cycles.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Normal Forms, Melnikov Functions, and Bifurcations of Limit Cycles

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.796651Z digest=sha256:dc8b4fbc3aa4e91b9afdede6a55014b5c7c4c593ca8043a4ae3f34dfb961be8d

Observation c24f8453-14ab-4334-bf16-c9baed2fe705 · outbound

This paper cites Low noise current preamplifier for qPlus sen- sor deflection signal detection in atomic force microscopy at room and low temperatures.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Low noise current preamplifier for qPlus sen- sor deflection signal detection in atomic force microscopy at room and low temperatures

Reference 12

Resolution
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raw_fallback, observed 2026-08-14T13:11:55.082666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.801174Z digest=sha256:0abb63d1d94faa343268f47627f22bffed925e300cf1f9d23589004ff1381954

Observation d0078018-05fd-4f20-9b8c-c74bfe1cf2b5 · outbound

This paper cites Introduction to Computational Chemestry.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Introduction to Computational Chemestry

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:11:55.067504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.805416Z digest=sha256:1fe7b1296e99895037dd3d318f7654ad587f2848bbdf409a52a5c6f66ed205a9

Observation 67a3169e-961d-4356-b8ee-971b1b4965da · outbound

This paper cites Elements of Applied Bifurcation Theory.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Elements of Applied Bifurcation Theory

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:11:55.052971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.810036Z digest=sha256:b95bbf8846015c5372ba3f22d51d9a81b536d4887452c1beeb2609bc8d68f0ff

Observation 70150ce3-283b-43a4-bc66-210b95e7fa8a · outbound

This paper cites On the determination of molecular field.Proc. R. Soc. Lond Ser. A Math. Phys. Eng. Sci.106(738), 6s.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing On the determination of molecular field.Proc. R. Soc. Lond Ser. A Math. Phys. Eng. Sci.106(738), 6s

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.814757Z digest=sha256:e18ced7fb3994a879593ab9093ba9eddb1e2909eb99bf5e165d81c3e835ede06

Observation 6110fe17-10d4-4c33-b8b3-b84af086a233 · outbound

This paper cites Noncontact Atomic Force Mi- croscopy.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Noncontact Atomic Force Mi- croscopy

Reference 16

Resolution
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raw_fallback, observed 2026-08-14T13:11:55.017970Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.819369Z digest=sha256:bad2e4845fcb6001d83d973746e27b973fa47352465ced6738646396fec0faa3

Observation 8d2a372a-5918-413e-97ea-fa2fd40424e8 · outbound

This paper cites Differential Equations and Dynamical Systems.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Differential Equations and Dynamical Systems

Reference 17

Resolution
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.823716Z digest=sha256:b4587f8ad3f3ca62ece26abda48863d71bda65d706396f85e6dc32ff0abf2e22

Observation f92cfdf5-f7ed-48e4-baaa-1c146500d7ca · outbound

This paper cites Detection of Hepatitis C Virus Core Protein in Serum Using Aptamer-Functionalized AFM Chips.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Detection of Hepatitis C Virus Core Protein in Serum Using Aptamer-Functionalized AFM Chips

Reference 18

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raw_fallback, observed 2026-08-14T13:11:54.984119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.828103Z digest=sha256:f13c6cedfef1f6de463c75146858416b9521198e6f752b5c639949d4b8030f81

Observation 0560362a-4c90-478a-b878-ec7548ca8af4 · outbound

This paper cites Atomic Force Microscope.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Atomic Force Microscope

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.832979Z digest=sha256:ae56e624776de94c8f1cd3e2c9eee5a41944088fa9aa4fdcf1f0a5f57754f3ed

Observation 144fe47e-6a40-437e-9aba-4b61b77bbcf7 · outbound

This paper cites An atomic microscope (AFM) study of the calcite cleavage plane: Image averaging in Fourier space.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing An atomic microscope (AFM) study of the calcite cleavage plane: Image averaging in Fourier space

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.837319Z digest=sha256:fb83607afc6dce08f2dec0686ed1d7f924f93f273f8baeed4ae127991f858c95

Observation 25a262be-dfae-4d40-8bff-d30e83973bab · outbound

This paper cites Nonlinear dynamics of atomic-force- microscope probes driven in Lennard-Jones potentials.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Nonlinear dynamics of atomic-force- microscope probes driven in Lennard-Jones potentials

Reference 21

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raw_fallback, observed 2026-08-14T13:11:54.937288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.841580Z digest=sha256:17f659a9d02eee458478ed125787136b2936c07ab50ad95deee88737ea96411d

Observation 67a4c32f-0b9f-4205-bbba-f42f69cd4c79 · outbound

This paper cites MEMS Linear and Nonlinear Statics and Dynamics.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing MEMS Linear and Nonlinear Statics and Dynamics

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:11:54.922345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.845604Z digest=sha256:66d40cc847e5981443acff47ba72d877f1700e277930e8340bfd2a916c9726dd

Observation b963ff74-1773-4e53-aa06-295df20375c0 · outbound

This paper cites Nonlinear Dynamics and Chaos of Microcantilever-Based TM-AFMs with Squeeze Film Damping Effects.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Nonlinear Dynamics and Chaos of Microcantilever-Based TM-AFMs with Squeeze Film Damping Effects

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:11:54.907523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.850254Z digest=sha256:2b689695fc76474816ec00831b6c52354ae9a594af29db4f9ff98804b020f392

Observation a6a86d28-86b0-4382-88c7-57228b1c9815 · outbound

This paper cites Image-based hysteresis modeling and compensation for an AFM piezo-scanner.

Saddle-Node Bifurcation and Homoclinic Persistence in AFM with Periodic Forcing Image-based hysteresis modeling and compensation for an AFM piezo-scanner

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:11:54.891493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T13:11:54.854961Z digest=sha256:d897b5294a7e656955df85d26b6b6577456d9ae251d8ed92e49311b863d4c8d0

Pith citing papers

No inbound Pith citation observations are available.