Paper Citation Record · LEDGER

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise

As of 16 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:1909.00727.

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

pith.paper-citation-record.v1
1909.00727 v3

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:45:07.999945Z

measured 41 of 41 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

41 of 41 outbound references displayed

verified exact2
verified fuzzy33
unresolved5
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation feef8142-2b97-4ab1-997c-722afde99ef5 · outbound

This paper cites Arnold, Random Dynamical Systems , Springer, Berlin, 1998.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Arnold, Random Dynamical Systems , Springer, Berlin, 1998

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.472679Z

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.

Observation 798b6d64-9c98-4129-ad7f-2a3855b47663 · outbound

This paper cites Bates, H.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Bates, H

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.463254Z

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.

Observation 4276a645-d541-4c76-8281-4a0c49e1301a · outbound

This paper cites Bates, K.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Bates, K

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.453071Z

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.

Observation fd256c20-b6a3-4986-96a4-c6b4f1b37fca · outbound

This paper cites Bertram, M.J.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Bertram, M.J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.442783Z

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.

Observation 4890ef0d-0fd7-4219-af3c-c2fbf1d49437 · outbound

This paper cites Buters, J.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Buters, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.431543Z

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.

Observation 62d3c034-a0ee-4c34-bfe8-8be5699d8fcb · outbound

This paper cites Chay and J.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Chay and J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.419799Z

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.

Observation a4503b1b-906c-431d-a6d6-becdc7d2e224 · outbound

This paper cites an unresolved cited work.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:45:08.408891Z

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.

Observation c307de54-3851-4e40-b3d0-4bc0e8e16b79 · outbound

This paper cites Chueshov, Monotone Random Systems Theory and Applications , Lect.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Chueshov, Monotone Random Systems Theory and Applications , Lect

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.398621Z

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.

Observation e6315284-35d5-47af-9488-2baf3aa72033 · outbound

This paper cites Cornelisse, W.J.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Cornelisse, W.J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.388182Z

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.

Observation ae365eb3-0572-4abc-9fc9-f3863736c71b · outbound

This paper cites Crauel, A.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Crauel, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.378459Z

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.

Observation 6b97c46e-f062-4462-adc1-90d718f215c8 · outbound

This paper cites Crauel and F.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Crauel and F

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.368174Z

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.

Observation d0359070-97a9-40e4-9974-146e4f31b253 · outbound

This paper cites Dhamala, V.K.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Dhamala, V.K

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.358416Z

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.

Observation ad779222-5432-4b29-89c7-ddedc0d23bec · outbound

This paper cites Efendiev and S.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Efendiev and S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.345792Z

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.

Observation 8c7b5f3f-19dc-4a4f-90fb-95b152e71871 · outbound

This paper cites Ementrout and D.H.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Ementrout and D.H

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.335337Z

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.

Observation 6719dcfd-6966-4635-bdd9-c88052ae580c · outbound

This paper cites FitzHugh, Impulses and physiological states in theoretical models of nerve membrane , Bio- physical Journal, 1 (1961), 445–466.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise FitzHugh, Impulses and physiological states in theoretical models of nerve membrane , Bio- physical Journal, 1 (1961), 445–466

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.324796Z

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.

Observation f65cbd15-c699-4ea4-a8e3-6ace7c5632e2 · outbound

This paper cites Hindmarsh and R.M.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Hindmarsh and R.M

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.313263Z

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.

Observation 376e8e8f-90f0-4b34-95bf-d9e0b9c6b589 · outbound

This paper cites Hindmarsh and R.M.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Hindmarsh and R.M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.302766Z

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.

Observation bbb3432d-684a-4a81-98d8-7b703dd3c11b · outbound

This paper cites Hodgkin and A.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Hodgkin and A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.293054Z

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.

Observation 7f12e31a-023a-472d-b9d7-e46a6a5ec7b8 · outbound

This paper cites Innocenti and R.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Innocenti and R

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.283411Z

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.

Observation 51f43507-0a04-4770-84b3-a7e26eaf8d11 · outbound

This paper cites Izhikecich, Dynamical Systems in Neuroscience: The Geometry of Excitab ility and Burst- ing, MIT Press, Cambridge, Massachusetts, 2007.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Izhikecich, Dynamical Systems in Neuroscience: The Geometry of Excitab ility and Burst- ing, MIT Press, Cambridge, Massachusetts, 2007

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.273672Z

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.

Observation 48f84098-5e8f-4f3b-a243-498e54321a89 · outbound

This paper cites an unresolved cited work.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:45:08.263107Z

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.

Observation 2ebd2639-4fc8-4c72-aea9-55e902b1becd · outbound

This paper cites Øksendal, Stochastic Diﬀerential Equations , 6th edition, Springer-Verlag, Berlin, 2003.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Øksendal, Stochastic Diﬀerential Equations , 6th edition, Springer-Verlag, Berlin, 2003

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.252619Z

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.

Observation 1172c452-e277-4873-a426-5521f8788a37 · outbound

This paper cites Random Attractor for Stochastic Hindmarsh-Rose Equations with Multiplicative Noise.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Random Attractor for Stochastic Hindmarsh-Rose Equations with Multiplicative Noise

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:45:08.054340Z

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.

Observation b5c07112-841a-4bfd-856e-6cc901d17a44 · outbound

This paper cites Global Attractors for Hindmarsh-Rose Equations in Neurodynamics.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Global Attractors for Hindmarsh-Rose Equations in Neurodynamics

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:45:08.038510Z

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.

Observation ee60f45d-1704-4aa8-a35e-21179ff30044 · outbound

This paper cites Rinzel, A formal classiﬁcation of bursting mechanism in excitable s ystems, Proceedings of International Congress of Mathematics, 1 (1987), 1578–1593.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Rinzel, A formal classiﬁcation of bursting mechanism in excitable s ystems, Proceedings of International Congress of Mathematics, 1 (1987), 1578–1593

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.241174Z

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.

Observation a098dfbd-4a52-4446-bb26-2e9bf9e92cd0 · outbound

This paper cites Rubin, Bursting induced by excitatory synaptic coupling in nonide ntical conditional relaxation oscillators or square-wave bursters , Physics Review E, 74 (2006), 021917.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Rubin, Bursting induced by excitatory synaptic coupling in nonide ntical conditional relaxation oscillators or square-wave bursters , Physics Review E, 74 (2006), 021917

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.229587Z

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.

Observation a4e1cc9d-8d1d-4a31-ac1a-98c842e78608 · outbound

This paper cites Schenk-Hopp´ e,Random attractors - general properties, existence and appl ications to sto- chastic bifurcation theory , Discrete and Continuous Dynamical Systems, 4 (1998), 99-130.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Schenk-Hopp´ e,Random attractors - general properties, existence and appl ications to sto- chastic bifurcation theory , Discrete and Continuous Dynamical Systems, 4 (1998), 99-130

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.218884Z

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.

Observation dccee770-4b23-4366-9aed-00a95f061f96 · outbound

This paper cites an unresolved cited work.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:45:08.207325Z

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.

Observation 36b60c80-6650-4ee9-91d8-93b7a997890d · outbound

This paper cites an unresolved cited work.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:45:08.197690Z

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.

Observation 1f830bc4-0a1c-4247-984c-9dd6aa2b25be · outbound

This paper cites Shapiro, R.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Shapiro, R

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.188066Z

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.

Observation 5e0f5604-e62d-4205-8c2e-9d01618df5fd · outbound

This paper cites an unresolved cited work.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:45:08.176981Z

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.

Observation 94ac308d-4ff8-4f77-84d5-9417f9455539 · outbound

This paper cites Temam, ”Inﬁnite Dimensional Dynamical Systems in Mechanics anf Physics”, 2nd edition, Springer, New York, (2013).

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Temam, ”Inﬁnite Dimensional Dynamical Systems in Mechanics anf Physics”, 2nd edition, Springer, New York, (2013)

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.166284Z

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.

Observation 2ce27e80-d742-413f-bd03-4123a0fedc7c · outbound

This paper cites Terman, Chaotic spikes arising from a model of bursting in excitable membrane, J.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Terman, Chaotic spikes arising from a model of bursting in excitable membrane, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.155102Z

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.

Observation 35bf0733-45bb-4a06-a90a-05f063e7d4e9 · outbound

This paper cites Wang, Suﬃcient and necessary criteria for existence of pullback a ttractors for non-compact random dynamical systems , J.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Wang, Suﬃcient and necessary criteria for existence of pullback a ttractors for non-compact random dynamical systems , J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.143126Z

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.

Observation 4fa578e2-eee2-48bc-a183-465c37edbc1f · outbound

This paper cites Wang, Random attractors for non-autonomous stochastic wave equa tions, Discrete and Con- tinuous Dynamical Systems, Series A, 34 (2014), 269–300.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Wang, Random attractors for non-autonomous stochastic wave equa tions, Discrete and Con- tinuous Dynamical Systems, Series A, 34 (2014), 269–300

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.131095Z

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.

Observation c01a74aa-13f2-44a6-83cf-163163e87ced · outbound

This paper cites Wang and B.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Wang and B

Reference 36

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T05:45:08.120664Z

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.

Observation ee4f87e6-5dd3-4321-999c-7cde100bdcf4 · outbound

This paper cites Wang and X.R.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Wang and X.R

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.110550Z

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.

Observation bb5d1d08-cfbb-4f32-be29-8bdb99bba9bd · outbound

This paper cites You, Global dynamics and robustness of reversible autocatalyti c reaction-diﬀusion systems , Nonlinear Analysis, Series A, 75 (2012), 3049–3071.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise You, Global dynamics and robustness of reversible autocatalyti c reaction-diﬀusion systems , Nonlinear Analysis, Series A, 75 (2012), 3049–3071

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.100135Z

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.

Observation 840699c5-f2dc-4391-94f1-6525527c5516 · outbound

This paper cites You, Random attractors and robustness for stochastic reversibl e reaction-diﬀusion systems , Discrete and Continuous Dynamical Systems, Series A, 34 (2014), 301–333.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise You, Random attractors and robustness for stochastic reversibl e reaction-diﬀusion systems , Discrete and Continuous Dynamical Systems, Series A, 34 (2014), 301–333

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.089292Z

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.

Observation f36806e6-1b43-466a-9b7c-db54e199cd77 · outbound

This paper cites You, Random dynamics of stochastic reaction-diﬀusion systems w ith additive noise , Journal of Dynamics and Diﬀerential Equations, 29 (2017), 83-112.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise You, Random dynamics of stochastic reaction-diﬀusion systems w ith additive noise , Journal of Dynamics and Diﬀerential Equations, 29 (2017), 83-112

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.078304Z

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.

Observation a6c83650-b128-4407-81ef-bb948438e06d · outbound

This paper cites Zhang, A.

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise Zhang, A

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:45:08.066503Z

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.

Pith citing papers

No inbound Pith citation observations are available.