Paper Citation Record · LEDGER

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver

As of 16 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:1908.09371.

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

pith.paper-citation-record.v1
1908.09371 v3

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:20:30.987294Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

38 of 38 outbound references displayed

verified exact10
verified fuzzy25
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a06ff857-8523-4483-8d12-bdeab75e21f5 · outbound

This paper cites Analysis of a sys tem of linear delay diﬀerential equations.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Analysis of a sys tem of linear delay diﬀerential equations

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.864110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8131035a-7d06-4bee-a79a-b600b9a2e0f6 · outbound

This paper cites Modeling bumblebee pop- ulation dynamics with delay diﬀerential equations.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Modeling bumblebee pop- ulation dynamics with delay diﬀerential equations

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.854812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c0e2aa48-e7a1-41a2-ac5a-49119d42ead9 · outbound

This paper cites Diﬀerential-Diﬀerence Equa- tions.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Diﬀerential-Diﬀerence Equa- tions

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.844177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 84ada3fd-1388-4cb3-9c60-3c8681b0cbe7 · outbound

This paper cites Bifurcations in delay diﬀerent ial equa- tions and applications to tumor and immune system interacti on models.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Bifurcations in delay diﬀerent ial equa- tions and applications to tumor and immune system interacti on models

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.833875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f637659e-3cdf-472f-b258-1d567ad4f101 · outbound

This paper cites Medical Physiology: A Cellular and Molecular Approach.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Medical Physiology: A Cellular and Molecular Approach

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.823271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 167a5642-0c82-4faf-aff9-4a8d1f5d4366 · outbound

This paper cites Two-param eter bifur- cation analysis of limit cycles of a simpliﬁed railway wheel set model.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Two-param eter bifur- cation analysis of limit cycles of a simpliﬁed railway wheel set model

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.813480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f28bdff4-708c-480b-b07d-af22cea62ad7 · outbound

This paper cites Delay-induced oscillatory dynamics of tumour-immune syst em interac- tion.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Delay-induced oscillatory dynamics of tumour-immune syst em interac- tion

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.802832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 255a5110-82f3-4de5-91b6-3a2a108e046a · outbound

This paper cites Numerica l bifurcation analysis of delay diﬀerential equations using DDE-BIFTOOL.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Numerica l bifurcation analysis of delay diﬀerential equations using DDE-BIFTOOL

Reference 8

Resolution: metadata mismatch; raw_fallback, observed 2026-08-14T11:20:31.480591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 46450b69-6bdf-4d03-a4fa-ec8f2472904f · outbound

This paper cites Implementing Radau IIA metho ds for stiﬀ delay diﬀerential equations.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Implementing Radau IIA metho ds for stiﬀ delay diﬀerential equations

Reference 9

Resolution: verified exact; doi, observed 2026-08-14T11:20:31.173916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 804580a4-d151-4aa3-b99b-5f9d11bcfb8b · outbound

This paper cites Guyton and Hall Textbook of Medical Physiology.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Guyton and Hall Textbook of Medical Physiology

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.794270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8d6819f5-6d85-424e-91ec-e1d7e27f0ed7 · outbound

This paper cites Arteria l, cere- brospinal, and venous pressures in man during cough and stra in.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Arteria l, cere- brospinal, and venous pressures in man during cough and stra in

Reference 11

Resolution: verified exact; doi, observed 2026-08-14T11:20:31.163176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 081e13bd-a676-4793-b1b1-ae59a935f6d0 · outbound

This paper cites Cli- mate models with delay diﬀerential equations.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Cli- mate models with delay diﬀerential equations

Reference 12

Resolution: verified exact; doi, observed 2026-08-14T11:20:31.152944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bb514fe6-4d6b-4741-a014-cc20448cdc71 · outbound

This paper cites Bifurcation analysi s of delay- induced resonances of the El Ni˜ no Southern Oscillation.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Bifurcation analysi s of delay- induced resonances of the El Ni˜ no Southern Oscillation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.785274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7f8debd0-f02a-4fd7-a3e9-356e608bfa21 · outbound

This paper cites Delay Diﬀerential Equations with Applications in Popu- lation Dynamics , volume 191.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Delay Diﬀerential Equations with Applications in Popu- lation Dynamics , volume 191

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.775115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1f8ba5c7-cd41-4e57-85ce-213209c79337 · outbound

This paper cites A human cardiopulmonary system model applied to the analysis of the Valsalva maneuver.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver A human cardiopulmonary system model applied to the analysis of the Valsalva maneuver

Reference 15

Resolution: verified exact; doi, observed 2026-08-14T11:20:31.142523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a0daff33-0ae3-4523-af6b-abda40f53ed2 · outbound

This paper cites Numerical bifurcation analysis of immunological models with time del ays.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Numerical bifurcation analysis of immunological models with time del ays

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.764289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b9d69c94-34a4-412a-9028-9a69bab2463c · outbound

This paper cites Modeling the aﬀerent dynamics of the baroreﬂex control syste m.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Modeling the aﬀerent dynamics of the baroreﬂex control syste m

Reference 17

Resolution: verified exact; doi, observed 2026-08-14T11:20:31.034864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ae66ef74-fc7f-43e2-ab42-de0176176045 · outbound

This paper cites Mathema tical mod- els and software tools for the glucose-insulin regulatory s ystem and diabetes: an overview.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Mathema tical mod- els and software tools for the glucose-insulin regulatory s ystem and diabetes: an overview

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.753175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 69a7ec38-9e23-4aaa-acf0-a47d4a16750e · outbound

This paper cites Mathematical ana lysis of delay diﬀerential equation models of HIV-1 infection.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Mathematical ana lysis of delay diﬀerential equation models of HIV-1 infection

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.742046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b879da07-17a1-449c-a990-05a61f4842c2 · outbound

This paper cites Modeling Heart Rate Regulation by the Baroreﬂex.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Modeling Heart Rate Regulation by the Baroreﬂex

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.732247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c2f7fc98-d79a-4955-b7e1-9145609be5a7 · outbound

This paper cites Blood pressure and blood ﬂ ow variation during postural change from sitting to standing: model devel- opment and validation.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Blood pressure and blood ﬂ ow variation during postural change from sitting to standing: model devel- opment and validation

Reference 21

Resolution: verified exact; raw_fallback, observed 2026-08-14T11:20:31.423893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9da160e4-a9f1-454e-bf16-37543c6fce9a · outbound

This paper cites Modelling of the baroreﬂex-feedbac k mecha- nism with time-delay.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Modelling of the baroreﬂex-feedbac k mecha- nism with time-delay

Reference 22

Resolution: verified exact; doi, observed 2026-08-14T11:20:31.024181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2a69d804-a5c0-4f30-9d3e-c2700e6a9a37 · outbound

This paper cites The utility of Valsalva maneuver in the diagnoses of orthostatic disord ers.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver The utility of Valsalva maneuver in the diagnoses of orthostatic disord ers

Reference 23

Resolution: verified exact; raw_fallback, observed 2026-08-14T11:20:31.356057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f2ff80ff-174c-4cb9-b097-be2981bf26a8 · outbound

This paper cites A model-based analysis of auto nomic nervous function in response to the Valsalva maneuver.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver A model-based analysis of auto nomic nervous function in response to the Valsalva maneuver

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.722675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 60c98e49-c25e-4a90-9c8d-c77c31be0e62 · outbound

This paper cites Dyna mics of a diﬀusion reaction prey-predator model with delay in prey: eﬀe cts of delay and spatial components.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Dyna mics of a diﬀusion reaction prey-predator model with delay in prey: eﬀe cts of delay and spatial components

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.713615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dae94925-7a40-4bea-8922-da95e8ec180a · outbound

This paper cites Continuation and bifurcation analysis of delay diﬀerential equations , pages 359–394.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Continuation and bifurcation analysis of delay diﬀerential equations , pages 359–394

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.702454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6fa470e1-1720-4e35-8626-97cefe58a9f3 · outbound

This paper cites On the zeros of transcende ntal functions 37 with applications to stability of delay diﬀerential equatio ns with two delays.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver On the zeros of transcende ntal functions 37 with applications to stability of delay diﬀerential equatio ns with two delays

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.691915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 28c57c4d-1e97-4608-8df2-dca56df663fe · outbound

This paper cites Robust stabili ty analysis of linear time-delay systems by Lambert W function: some extreme point results.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Robust stabili ty analysis of linear time-delay systems by Lambert W function: some extreme point results

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.681370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b92075dd-8c9b-4ab1-8eba-b7f7a3876634 · outbound

This paper cites Stability and stabilization of systems w ith time delay.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Stability and stabilization of systems w ith time delay

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.669187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9d7b2570-e731-4357-b6a3-bc91c058e9a8 · outbound

This paper cites Conti nuation of bifurcations in periodic delay-diﬀerential equations usin g characteristic matrices.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Conti nuation of bifurcations in periodic delay-diﬀerential equations usin g characteristic matrices

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.583380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7f9a1f96-61f4-4fbd-b462-2dd7b484dc0d · outbound

This paper cites Age- predicted maximal heart rate revisited.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Age- predicted maximal heart rate revisited

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.532355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 83350adc-955a-4400-abaa-a0c33a565fef · outbound

This paper cites Delay equation ana lysis of human respiratory stability.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Delay equation ana lysis of human respiratory stability

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.518812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a78da257-8a9d-41b5-bc4f-3ef56d4476ee · outbound

This paper cites Autonomic testing: common techniques and clinical applications.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Autonomic testing: common techniques and clinical applications

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.506549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 40633ab3-8c26-404b-a627-e8881a342997 · outbound

This paper cites Circulatory model of bar o- and cardio- pulmonary reﬂexes.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Circulatory model of bar o- and cardio- pulmonary reﬂexes

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:20:31.493050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation eaa53bc2-424b-4659-9cc6-27ecacf4249b · outbound

This paper cites The smallest chemical reaction syste m with bista- bility.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver The smallest chemical reaction syste m with bista- bility

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-14T11:20:30.983852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f203d65-0f18-4e3d-8b60-23db113313ae · outbound

This paper cites Solution of a system of linear delay diﬀeren- tial equations using the matrix Lambert function.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Solution of a system of linear delay diﬀeren- tial equations using the matrix Lambert function

Reference 36

Resolution: verified exact; raw_fallback, observed 2026-08-14T11:20:31.253863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 63b91e32-a8f9-46fe-93b1-8364696af0c7 · outbound

This paper cites an unresolved cited work.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Unresolved cited work

Reference 2003

Resolution: verified exact; doi, observed 2026-08-14T11:20:31.186316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d1f78866-b72c-467f-be30-b6e8f53f4ff6 · outbound

This paper cites an unresolved cited work.

Persistent instability in a nonhomogeneous delay differential equation system of the Valsalva maneuver Unresolved cited work

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-14T11:20:30.942755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.