Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:51:35.860366Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2506.06973.
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 2026-08-07T05:51:35.860366Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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
58 of 58 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation c7bdf063-95a4-4d5b-8a63-2e55a26eaa58 · outbound
The symbolic partition with generalized Koopman analysis Symbolic dynamics.American Journal of Mathematics, 60(4):815–866, 1938
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98b9a03c-f791-49a6-819b-1893d44951af · outbound
The symbolic partition with generalized Koopman analysis Cambridge University Press, 1995
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3aafb417-d8f5-49d8-aa17-2ca8628dbe53 · outbound
The symbolic partition with generalized Koopman analysis World Scientific, 2nd edition, 2018
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 061565e8-fd94-480a-96bc-2a21e1751e77 · outbound
The symbolic partition with generalized Koopman analysis Recurrence plots of dynamical systems.Europhys Lett, 4, 1987
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 250ab5e3-afbe-470e-aa11-34d7266147ba · outbound
The symbolic partition with generalized Koopman analysis Recurrence plots for the analysis of complex systems.Physics reports, 438(5-6):237–329,
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3684a278-46db-4329-b058-c9e2bee7891a · outbound
The symbolic partition with generalized Koopman analysis Wiley Series in Telecommunications and Signal Processing, 2017
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0c11f11c-ce4f-43bd-abe6-c673eed0beb7 · outbound
The symbolic partition with generalized Koopman analysis Rev Mod Phys, 57(3):617, 1985
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7cc576f8-c41b-42a3-bc89-926ada1778c9 · outbound
The symbolic partition with generalized Koopman analysis Complex orbits in a second-order digital filter with sinusoidal response.Chaos Soliton Fract, 40(4):1660– 1667, 2009
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f0a9f4e-7976-4038-b5f2-1e72afad26c4 · outbound
The symbolic partition with generalized Koopman analysis Topological classification of periodic orbits in the generalized lorenz-type system with diverse symbolic dynamics.Chaos Soliton Fract, 154:111686, 2022
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 744beb73-61bf-4b66-bb4d-1eccd4bcfcee · outbound
The symbolic partition with generalized Koopman analysis Symbolicdynamicsandentropyanalysisof feigenbaum limit sets.Chaos Soliton Fract, 10(7):1135–1150, 1999
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2abd42b-cbbc-4c60-8a50-8b78ab604a51 · outbound
The symbolic partition with generalized Koopman analysis Symbolicdynamicsandchaoticsyn- chronization in coupled duffing oscillators.J Nonlinear Math Phys, 15:102–110, 2008
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77b758ea-c21f-4b6f-98cd-c56aebdd83d4 · outbound
The symbolic partition with generalized Koopman analysis Symbol sequence statistics in noisy chaotic signal reconstruction.Phys Rev E, 51(5):3871–3889,
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation be85a08c-5784-44eb-b6ea-40a03974b8e9 · outbound
The symbolic partition with generalized Koopman analysis Communicating with chaos.Phys Rev Lett, 70 20:3031–3034, 1993
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45d5acdf-9d4f-4b00-832e-f87f63a83483 · outbound
The symbolic partition with generalized Koopman analysis Experimental control of chaos for communication.Phys Rev Lett, 73(13):1781, 1994
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9fd4a08a-a511-4a01-b179-f0efbea6516e · outbound
The symbolic partition with generalized Koopman analysis Symbolic dynamics and computation in model gene networks.Chaos, 11(1):160–160, 2001
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 73e82890-6bc9-42cd-a492-c0a26dd87a30 · outbound
The symbolic partition with generalized Koopman analysis Chaos:classicalandquantum
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b7f3af90-7e8d-4913-8c3e-dd33c0d08892 · outbound
The symbolic partition with generalized Koopman analysis Generating partitions for the dissipa- tive hénon map.Physics Lett A, 113(5):235–238, 1985
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e31d2665-fa2e-415e-94e8-95acd4c89207 · outbound
The symbolic partition with generalized Koopman analysis On the symbolic dynam- ics of the henon map.J Phys A, 22(22):5217, 1989
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cc1868aa-aac0-49fe-b3be-628b56b49407 · outbound
The symbolic partition with generalized Koopman analysis A generating partition for the standard map.Phys Rev E, 51(5):R3811, 1995
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation db491c6d-2cad-45c1-897d-b0126b93a83f · outbound
The symbolic partition with generalized Koopman analysis Symbolicpartitioninchaoticmaps.Chaos,2021
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 226a6a43-f020-4e4f-b5d8-f9a2e831e6af · outbound
The symbolic partition with generalized Koopman analysis Cambridge University Press, 2002
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b54f6bf7-a47f-46f2-b60a-21f144cc1c1c · outbound
The symbolic partition with generalized Koopman analysis Model identification by periodic- orbit analysis for nmr-laser chaos.Phys Lett A, 153(17):2244–2247,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2cc5cf7f-51c6-422c-90ad-49ee2cf8b16a · outbound
The symbolic partition with generalized Koopman analysis Progress in the analysis of experimental chaos through periodic orbits.Rev Mod Phys, 66(4):1389–1415,
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8c74fd7b-4a2b-410e-a036-a8bc97e2637a · outbound
The symbolic partition with generalized Koopman analysis Estimating generating par- titions of chaotic systems by unstable periodic orbits.Phys Rev E, 61(2):1353, 2000
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a99961b0-bf73-41f1-b3af-625bd3b481ba · outbound
The symbolic partition with generalized Koopman analysis Combining topologi- cal analysis and symbolic dynamics to describe a strange attractor and its crises.Phys Rev Lett, 73(10):1364–1367, 1994
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e7f24180-3ca6-471f-8958-fa49094e30a4 · outbound
The symbolic partition with generalized Koopman analysis From template analysis to generating partitions ii: Characterization of the symbolic encodings.Phys- ica D, 144(3):259–278, 2000
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 082ab3e0-6d76-4b4a-9fa5-536f3bc7da5f · outbound
The symbolic partition with generalized Koopman analysis Symbolicdynamicsofone-dimensional maps: Entropies, finite precision, and noise.Int J Theor Phys, 21(6):433–466, 1982
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bc745a41-1dc5-428b-8280-85305efbbf0b · outbound
The symbolic partition with generalized Koopman analysis Symbolic dynamics of noisy chaos
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1da11576-c7f5-4903-9c76-04fef176ba52 · outbound
The symbolic partition with generalized Koopman analysis Estimating good discrete partitions from observed data: symbolic false nearest neighbors.AIP Conf Proc, 91:084102, 2003
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 94ad3871-0737-4595-8eee-f9a068e0c096 · outbound
The symbolic partition with generalized Koopman analysis Statisticallyrelaxingtogeneratingpartitionsfor observed time-series data.Phys Rev E, 71(4-2):046213, 2005
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8edb271f-4d58-4fff-b677-714a29e26aa3 · outbound
The symbolic partition with generalized Koopman analysis Estimating a generating partition from observed time series: Symbolic shadowing.Phys Rev E, 70(1- 2):016215, 2004
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 99c50855-e498-4016-b24b-97027241093d · outbound
The symbolic partition with generalized Koopman analysis Estimating optimal partitions for stochastic complex systems.Eur Phys J Spec Topics, 222(2):303–315, 2013
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9e570adf-f01e-4b85-ab93-b1d61299eb05 · outbound
The symbolic partition with generalized Koopman analysis Empirical generating partitions of driven oscillators using optimized symbolic shadowing.Phys Rev E, 98(3),
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation be6aecf7-1ee4-4352-aca8-c45ba24516bc · outbound
The symbolic partition with generalized Koopman analysis The high forecasting complexity of stochas- tically perturbed periodic orbits limits the ability to distinguish them from chaos.Nonlinear Dynam, 102(1):1–16, 2020
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 076c393a-6e5b-42a4-8dc2-9fce6b287132 · outbound
The symbolic partition with generalized Koopman analysis Finding periodic points from short time series.Phys Review E, 56(1):346–350, 1997
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 44f8dea1-9030-4f2b-8015-721f6690e2f0 · outbound
The symbolic partition with generalized Koopman analysis Detecting unstable periodic orbits of chaotic dynamical systems.Phys Rev Lett, 78(25):4733–4736, 1997
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2e0d0d8f-c9a6-43b6-a527-0189280e7700 · outbound
The symbolic partition with generalized Koopman analysis Hamiltonian systems and transformation in hilbert space.Proc Natl Acad Sci, 17(5):315–318, 1931
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14c56d18-4fe7-4e6c-acc3-6d88e0b38f3b · outbound
The symbolic partition with generalized Koopman analysis Dynamic mode decomposition of numerical and experimental data.J Fluid Mech, 656(10):5–28, 2010
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1e5071de-e7b3-4da5-bc93-7bf9e54c0d54 · outbound
The symbolic partition with generalized Koopman analysis A data–driven ap- proximation of the koopman operator: Extending dynamic mode decomposition.J Nonlinear Sci, 25:1307 – 1346, 2014
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 12a7c896-fa71-490f-b275-6efafd4e1d5a · outbound
The symbolic partition with generalized Koopman analysis Spectral analysis of nonlinear flows.J Fluid Mech, 2009
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation abb59fd4-ba99-4c6a-addc-33eb9eb5e51f · outbound
The symbolic partition with generalized Koopman analysis Koopman-mode decomposition of the cylinder wake.J Fluid Mech, 726:596–623, 2013
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0b881ee2-6bba-4d0d-8030-49a1c21b2a6c · outbound
The symbolic partition with generalized Koopman analysis Applications of the dynamic mode decomposition.Theor Comput Fluid Dyn, 25(1-4):249–259, 2011
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 913b41ef-6b34-4a4e-a1fb-fc310d6a6160 · outbound
The symbolic partition with generalized Koopman analysis Decomposing building system data for model validation and analysis using the koopman operator
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f2d7117c-34f4-487f-bd20-3a30b0231755 · outbound
The symbolic partition with generalized Koopman analysis Creating zoning approx- imations to building energy models using the koopman operator
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f26b07b3-8843-481b-a01a-2d45ac283f6b · outbound
The symbolic partition with generalized Koopman analysis Nonlinear koopman modes and coherency identi- ficationofcoupledswingdynamics.IEEE T Power Syst,26(4):1894– 1904, 2011
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8a8a2101-3072-4535-9bbc-4c0863ab0fd0 · outbound
The symbolic partition with generalized Koopman analysis Nonlinear koopman modes and a precursor to power system swing instabilities.IEEE T Power Syst, 27(3):1182– 1191, 2012
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 94de4563-f9e0-4bdf-9df3-90b847725342 · outbound
The symbolic partition with generalized Koopman analysis Koopmanoperator,geometry,andlearning.Dyn Syst,2020
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation efba2a0d-34d5-47da-921a-6f43a2f539e9 · outbound
The symbolic partition with generalized Koopman analysis Phase space partition with koopman analysis
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a3853c1-c6b8-453a-8bfe-8504142e32a5 · outbound
The symbolic partition with generalized Koopman analysis Maximum hyperchaos in generalized hénon maps.Phys Lett A, 151(6):281–284, 1990
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f5d0f115-d7f5-45eb-9ca0-8097669871e8 · outbound
The symbolic partition with generalized Koopman analysis A two-dimensional mapping with a strange attractor.Commun math Phys, 50(1), 1976
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0660be78-97b0-4837-9552-f6ab23e64ead · outbound
The symbolic partition with generalized Koopman analysis Structure of generating partitions for two- dimensional maps.J Phys A, 3097(16):567–576, 1997
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 21a2d059-2678-4669-80ab-34ef30cfdffb · outbound
The symbolic partition with generalized Koopman analysis PhD thesis, University of Oslo, 1993
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d07013ae-4afd-4438-8ee1-07123f48503e · outbound
The symbolic partition with generalized Koopman analysis Homoclinic tangencies, generating partitions andcurvatureofinvariantmanifolds.J Phys A,24(8):1837,1991
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 16caee4f-2c0b-47ef-bb75-c8d053a8032b · outbound
The symbolic partition with generalized Koopman analysis Unresolved cited work
Reference 1991
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7dd41e48-1001-4c9e-bec3-013cd798a01d · outbound
The symbolic partition with generalized Koopman analysis Unresolved cited work
Reference 1994
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation aa865816-5431-4bbc-8a4c-032ab299e7f6 · outbound
The symbolic partition with generalized Koopman analysis Unresolved cited work
Reference 1995
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 79254920-9822-4e9c-beee-346c97f8b4b3 · outbound
The symbolic partition with generalized Koopman analysis Unresolved cited work
Reference 2007
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eadba353-6fe6-44a0-89f1-112380145a1b · outbound
The symbolic partition with generalized Koopman analysis Unresolved cited work
Reference 2018
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.