Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:42:46.356443Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:1908.08618.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:42:46.356443Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
39 of 39 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a8710087-4170-4edb-ad21-e05e6ac5be35 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach von Helmholtz, J
Reference 1
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 bf252ae8-a3f0-4e3a-b998-a0e87bfa2da0 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach We used MATLAB’s built in rootfinder, fzero along with the ODE Solver ode45 with a relative tolerance of 10−13, an absolute tolerance of 10−15 to solve the equation f(hc) = 0
Reference 2
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 a35931b9-cf7a-4d9a-a25b-7cdb1907f56d · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Aref, Journal of Mathematical Physics 48, 065401 (2007), ISSN 0022-2488
Reference 3
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 13f73398-384d-45e5-ae91-5554a576e1e6 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 4
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 778f3628-9204-4533-bd4f-c80a6d1d8c63 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Kirchhoff, Vorlesungen ¨ uber mathematische Physik: Mechanik, vol
Reference 5
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 32c66793-ac41-47f4-ae13-f197b34c0011 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Aref, Theor
Reference 6
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 822e2d1b-77a8-4e93-9d6f-82b70e7f5042 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Eckhardt and H
Reference 7
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 b67620cb-8016-4248-8f65-89f7a508db76 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach The Hamiltonian (5) yields evolution equations dX dt = +∂H ∂Y = + Y (1−Y 2)2, dY dt =−∂H ∂X =− X (1 +X2)2, (8) whose phase plane is shown in Fig
Reference 8
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 e6c07d15-5351-41b4-a0c5-67338cbe2fd2 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 9
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 3e00c13c-0028-40cb-a206-6e74fc64886d · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Aref, Journal of Applied Mathematics and Physics (1989)
Reference 10
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 89cc3dbe-cb18-4ee6-9efa-3427d49a809e · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a5fbf1e-fb16-47a2-879a-68f7af18fd82 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c04b5f4c-c587-4535-aaf4-fc8e2d0f6be5 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Navarro, R
Reference 13
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 3d499058-de2c-45d4-bb67-444ebd5e65ae · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Gr¨ obli, Ph.D
Reference 14
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 7bcad9cd-ff34-4829-803d-8bf3c97e42da · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 15
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 dda97679-4d2b-4218-8bbe-61395530fd61 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 16
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 9fe64ff7-6a70-4fee-bf09-0a0878ca1855 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 17
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 a0e3e500-1cd8-4aa2-aefc-86e3a6d8d700 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Tophøj and H
Reference 18
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 c68e644b-d932-452c-a0c7-bf2b63359bc1 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Tophøj and H
Reference 19
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 e5ac6904-0f23-41ec-8f6b-c4601753cc3e · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 20
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 4c123864-d63e-4d90-9fc3-21954783b653 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Markus and H
Reference 21
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 6f8e4dc5-8951-4d78-99a1-9d849daad735 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Whitchurch, P
Reference 22
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 ce9e3b84-c890-4e14-bc66-a2b47aecdf8d · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 23
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 43b55397-629d-4646-bf41-81d1ab47861c · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 24
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 6bfeed01-e57c-4311-b262-89c7b54f32f7 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Kaushal and H
Reference 25
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 76665d3b-b0aa-44f0-8530-66047464defd · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Floquet, in Annales scientifiques de l’ ´Ecole normale sup´ erieure(1883), vol
Reference 26
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 71aec767-2ae2-472b-a05c-591a4ce45d3c · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Yakubovich and V
Reference 27
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 1a1ffa95-bb8b-48c8-ac9d-ea39c1f16110 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Meyer, G
Reference 28
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 334aaa49-b107-4c46-ad34-e51fc6d02fb7 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8069afb5-8cfa-4375-bb12-83897fa0a1ec · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 30
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 1885ec21-47c1-4330-8724-124aafd3c33e · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 31
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 3c0ccc5e-c6a7-4c59-bba8-5a366d26334d · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Poincar´ e, Les m´ ethodes nouvelles de la m´ ecanique c´ eleste
Reference 32
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 d8602918-3470-4901-ad05-f035e1094e34 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Treschev, O
Reference 33
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 55757fd3-bf95-4628-adef-4cf7dc0e8a3e · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Bolotin and D
Reference 34
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 d48c5fc4-c40b-4ad9-b963-82c9b5ea3899 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 35
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 973cd1f7-05b1-4bf7-bd25-2a36f1108110 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 36
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 ffe2ef85-1040-41c2-8083-fa42d11d6919 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work
Reference 37
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 20a3857f-0879-402b-8268-57a6ad97db01 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach This is a regularization factor to guaranteehjj = 1 and is necessary for (27) to converge
Reference 38
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 a815ef83-1ba2-4d98-90dd-1300541a7f90 · outbound
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach It would of course be possible to proceed with a more general Fourier ansatz
Reference 39
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.
No inbound Pith citation observations are available.