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Paper Citation Record · LEDGER

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

As of 16 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 2026-08-16T06:30:59.297886+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

24 of 24 outbound references displayed

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External citation measurements

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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
verified fuzzy
raw_fallback, observed 2026-08-14T13:11:55.252261Z

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=2026-08-14T13:11:54.745210Z digest=sha256:a84ef065cb687b2c5b978dd7e85294a42ae3bce30f9c5fb2d2400712e71249cf

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.750593Z digest=sha256:8d40765390aee17a9571dcf915fa7494d461ec9744bd9563c966d1b42a4c5d3e

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
verified fuzzy
raw_fallback, observed 2026-08-14T13:11:55.219937Z

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.

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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.761199Z digest=sha256:946073cecbb575c3d0fc63dc3f4ae3dc221a3f345a2e22706e3d50f7025338dc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.766600Z digest=sha256:0798d410ac68ed1a08901a5da341317c5fab5ffb28a3bdf9cbaa3e96903a495f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.771638Z digest=sha256:f3aa232662e877c08b7c1f4050202493d264d7cdde6ff99d8e6c30899bb5b089

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.778060Z digest=sha256:1e376932a55562ad6bc9f4ba4520a675c386a48eb50be50d454132ecaa3f7903

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.782519Z digest=sha256:ccb8c03e5c9f8080a952bcb5e58a37d9bd43ebccf1b495d557c83487eeae2b20

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
verified fuzzy
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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.786943Z digest=sha256:4576e853f82edfc9b8ef8d476e52fdff4c69394c060fb047eca42b73a59650dd

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.791539Z digest=sha256:721dce0013139654f7f4ecdeca99cc7bba1bcdd0b358fd6921a17539c29f301b

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
verified fuzzy
raw_fallback, observed 2026-08-14T13:11:55.097159Z

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=2026-08-14T13:11:54.796651Z digest=sha256:d58d37d306daeb409e1924b2b352231e4b76c0e8d6e81b24f0176e3b0b4e7f6a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.801174Z digest=sha256:f15007e6abc901600aa09da0440326e42faf3138aa9607fa8a9a76017e7300ec

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
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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=2026-08-14T13:11:54.805416Z digest=sha256:e7a5aca8e0d18756c5e28f91093ebebc1781daa9f10efa06b7844b0f7785ca7d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.810036Z digest=sha256:eb481eca8939cef823c13da1b2db03257e33a8bb1c74118f4d893e468594662f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.814757Z digest=sha256:c54d61c0e0853946fd6450f5c07c99cfaea31920677f4b0e6cd9aa84e60326ce

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

source=pdf_text observed=2026-08-14T13:11:54.819369Z digest=sha256:a6e425dbdb1b436b400d2ac4d31a83fcf56e7b67ad1ee6a00c0ae8a72229c569

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

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

source=pdf_text observed=2026-08-14T13:11:54.823716Z digest=sha256:819a36ec0f72e2fc3ec73f1773cdf0647ab74f7abe613c0d07e92ea1f8db0865

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

Resolution
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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.828103Z digest=sha256:e32c6498c84132d52ac60c2cde4f850882705e0887243232caaf5f5512fea5bf

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.832979Z digest=sha256:683be8c6ac6320e31e45e6f5d8e6c0f013df7f7f614b3ceb5a2337c28bbba10c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.837319Z digest=sha256:9dd34662e82723919a5e5361653208b4f4ff957f24abfe5d38e8dbb72cd4dc42

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

Resolution
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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.841580Z digest=sha256:270b3d13bba6442f4652ef22ced74b310ead6765fd1a426b5384c33893b92a21

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
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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.845604Z digest=sha256:f96fb75fecae57b38ee37b1eeb468c25ef260ecb70fee7647f2a65ebbdc631fc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.850254Z digest=sha256:077c0315dd689f442d40b6eaa90f42733d341d3be5364ec1a19770412987a4e2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:11:54.854961Z digest=sha256:b90ef64b06716cf5e9cb7c31e0e64d9aca57380156228efb9834fe7c616caab2

Pith citing papers

No inbound Pith citation observations are available.