Paper Citation Record · LEDGER

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up

As of 13 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2411.13679.

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

pith.paper-citation-record.v1
2411.13679 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:26:22.385773Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

48 of 48 outbound references displayed

verified exact2
verified fuzzy31
unresolved15
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e31e3cde-c9da-440a-bd76-8faab4b75fdd · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:23.013397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b168a937-8575-4a34-8f07-20f372ad7397 · outbound

This paper cites A vitabile, M.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up A vitabile, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:23.002047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0fe034b5-fbf7-4958-b0d6-7713c086aac0 · outbound

This paper cites Benoit, Dynamic bifurcations: Proceedings of a conference held in Luminy, France, March 5-10, 1990, Springer Berlin, Heidelberg, 1991.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Benoit, Dynamic bifurcations: Proceedings of a conference held in Luminy, France, March 5-10, 1990, Springer Berlin, Heidelberg, 1991

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.990420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation db5cee32-accd-401d-9761-9df107a12066 · outbound

This paper cites Bricmont and A.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Bricmont and A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.978655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d5f5a318-df23-4b1d-bdf8-d5a01cb7e9e6 · outbound

This paper cites Butuzov, Singularly perturbed parabolic equation in the case of intersecting roots of the degen- erate equation, Russian Journal of Mathematical Physics, 9 (2002), pp.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Butuzov, Singularly perturbed parabolic equation in the case of intersecting roots of the degen- erate equation, Russian Journal of Mathematical Physics, 9 (2002), pp

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.967222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c6917ce8-a5cc-4e90-92c4-35f9c724ca4e · outbound

This paper cites Butuzov and I.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Butuzov and I

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.954834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 31c8c67b-028c-4486-a578-261680b742a2 · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:22.942121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d903c685-3bd2-490d-827c-c7c70eaf8014 · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:22.930192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b337e803-4818-4323-acf5-deaf17b1847e · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:22.919248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 03482eaa-0769-4875-923d-5a702f1a073d · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:22.907524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 65a1144d-c623-45c9-a384-5c9d5e0970ae · outbound

This paper cites Collet and J.-P.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Collet and J.-P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.896667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cea18f5a-9081-4780-b7a9-292225b916ff · outbound

This paper cites De Maesschalck, F.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up De Maesschalck, F

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.885055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d5ae190f-da62-4d34-b0d5-b6b4c65341b3 · outbound

This paper cites De Maesschalck, T.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up De Maesschalck, T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.871216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 81593eef-b749-458a-822d-c0333db1a5fa · outbound

This paper cites Dumortier and R.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Dumortier and R

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.859658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9d084311-4840-41ad-8f8d-a31056494d62 · outbound

This paper cites Engel, F.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Engel, F

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.848802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9303fadc-3f59-4d28-a89b-a854cb264791 · outbound

This paper cites Engel, F.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Engel, F

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.837522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8a9feb3c-0e7e-4d62-b048-790eb54c3fcd · outbound

This paper cites Geometric analysis of a truncated Galerkin discretization of fast-slow PDEs with transcritical singularities.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Geometric analysis of a truncated Galerkin discretization of fast-slow PDEs with transcritical singularities

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-12T16:26:22.460686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1eb0977f-a44e-4ac7-b7ec-62440907e859 · outbound

This paper cites Fenichel, Geometric singular perturbation theory for ordinary differential equations, Journal of Differential Equations, 31 (1979), pp.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Fenichel, Geometric singular perturbation theory for ordinary differential equations, Journal of Differential Equations, 31 (1979), pp

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.825880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6a9a404a-62ce-4ac4-8ced-1c9c1180ce43 · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:22.813959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 776884fb-bec5-40dd-b922-d7843286e13a · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:22.802815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3d8acaea-a6f3-4fad-a018-900b468501f2 · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:22.790217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 685e7759-a15b-4983-9495-894e69bb82a3 · outbound

This paper cites Haberman, Slowly varying jump and transition phenomena associated with algebraic bifurcation problems, SIAM Journal on Applied Mathematics, 37 (1979), pp.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Haberman, Slowly varying jump and transition phenomena associated with algebraic bifurcation problems, SIAM Journal on Applied Mathematics, 37 (1979), pp

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.778334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3320e907-573f-4280-b4a1-6bb605fe6501 · outbound

This paper cites Haragus and G.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Haragus and G

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.765371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0812d711-e0f4-4102-ab9e-9a1e22cc8144 · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:22.751962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e730b160-3454-4d07-af45-24435181a7b3 · outbound

This paper cites Henry, Geometric theory of semilinear parabolic equations, vol.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Henry, Geometric theory of semilinear parabolic equations, vol

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.739021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1586d999-d9a9-4b1c-915a-adc8c9939c84 · outbound

This paper cites Geometric blow-up of a dynamic Turing instability in the Swift-Hohenberg equation.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Geometric blow-up of a dynamic Turing instability in the Swift-Hohenberg equation

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-12T16:26:22.440274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c995b1e1-47c8-4f4a-acff-48dd9b97caa7 · outbound

This paper cites A survey on the blow-up method for fast-slow systems.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up A survey on the blow-up method for fast-slow systems

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-12T16:26:22.303638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18a7c150-241d-42ca-93d4-0dfcbec3052c · outbound

This paper cites Jelbart and C.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Jelbart and C

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.727370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ad8382c7-9a04-43bb-bd87-869ca1783689 · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:22.713592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6c7c1083-9290-4c34-b9bd-db03fbbde3d3 · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:22.701100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d1f55687-8229-4011-86a4-e2ba5437472e · outbound

This paper cites Kevrekidis, S.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Kevrekidis, S

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.686018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f8c4dc14-6a1a-4bee-a75c-446a345ebb31 · outbound

This paper cites Kirrmann, G.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Kirrmann, G

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.675050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 23ee7d4e-f6f8-4462-9b9f-b71142747199 · outbound

This paper cites Krupa and P.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Krupa and P

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.662804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 94394d29-c72e-4df1-94aa-4f8ae602d9a2 · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:22.650739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 09cc7950-29a0-4186-97ab-5ca246e9e475 · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:22.639270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fef6e283-70b3-4c7f-ba2d-333f8e705e88 · outbound

This paper cites Kuehn, PDE Dynamics: An introduction, vol.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Kuehn, PDE Dynamics: An introduction, vol

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.627839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0f7a66cb-3d43-4d0c-9fa8-01674dd1f934 · outbound

This paper cites Martinez Sanchez , Slow passage through bifurcations in fast reactions, Master’s thesis, The Technical University of Munich, 2024.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Martinez Sanchez , Slow passage through bifurcations in fast reactions, Master’s thesis, The Technical University of Munich, 2024

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.615417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 37dd7941-3fef-4fbd-98cc-41b02326d081 · outbound

This paper cites Pazy, Semigroups of linear operators and applications to partial differential equations, vol.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Pazy, Semigroups of linear operators and applications to partial differential equations, vol

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.603418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1f4dba91-d826-4deb-a9ba-341ceb1a4c7e · outbound

This paper cites Sandstede, Stability of travelling waves, in Handbook of dynamical systems, vol.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Sandstede, Stability of travelling waves, in Handbook of dynamical systems, vol

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.591244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d8d2ac4f-ac09-4fa7-b927-f60effe2b301 · outbound

This paper cites Schneider and H.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Schneider and H

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.578391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 23fc726f-b0bb-441b-a714-52e12da63cf2 · outbound

This paper cites Siettos, I.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Siettos, I

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.564525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5393121f-c18b-4b6b-855f-b584f3b53e4b · outbound

This paper cites Szmolyan and M.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Szmolyan and M

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.551771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6db53fe8-bcb5-4e96-a25b-90a72802320d · outbound

This paper cites an unresolved cited work.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:26:22.539664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0df5157b-d4d2-4ffa-9c28-6927295eb311 · outbound

This paper cites Tsubota, C.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Tsubota, C

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.527181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5b95c2c9-0af0-4eea-acd2-0b96182ad5f0 · outbound

This paper cites V anderbauwhede and G.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up V anderbauwhede and G

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.513723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 929f658b-bef7-4414-a52f-443e3b429ab9 · outbound

This paper cites Wechselberger, A propos de canards (apropos canards), Transactions of the American Math- ematical Society, 364 (2012), pp.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Wechselberger, A propos de canards (apropos canards), Transactions of the American Math- ematical Society, 364 (2012), pp

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.500784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1c3b28cd-7f29-4282-bb4b-6b4529604562 · outbound

This paper cites Wiggins , Normally hyperbolic invariant manifolds in dynamical systems, vol.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Wiggins , Normally hyperbolic invariant manifolds in dynamical systems, vol

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.487298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a390097e-d97c-4656-a331-f50617eba862 · outbound

This paper cites Zacharis, Geometric singular perturbation theory for reaction-diffusion systems, PhD thesis, 2023.

Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up Zacharis, Geometric singular perturbation theory for reaction-diffusion systems, PhD thesis, 2023

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:26:22.474025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.