The symbolic partition with generalized Koopman analysis | Paper Citation Record

Observation c7bdf063-95a4-4d5b-8a63-2e55a26eaa58 · outbound

This paper cites Symbolic dynamics.American Journal of Mathematics, 60(4):815–866, 1938.

The symbolic partition with generalized Koopman analysis Symbolic dynamics.American Journal of Mathematics, 60(4):815–866, 1938

Reference 1

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Observation 98b9a03c-f791-49a6-819b-1893d44951af · outbound

This paper cites Cambridge University Press, 1995.

The symbolic partition with generalized Koopman analysis Cambridge University Press, 1995

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.530174Z

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Observation 3aafb417-d8f5-49d8-aa17-2ca8628dbe53 · outbound

This paper cites World Scientific, 2nd edition, 2018.

The symbolic partition with generalized Koopman analysis World Scientific, 2nd edition, 2018

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.521783Z

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Observation 061565e8-fd94-480a-96bc-2a21e1751e77 · outbound

This paper cites Recurrence plots of dynamical systems.Europhys Lett, 4, 1987.

The symbolic partition with generalized Koopman analysis Recurrence plots of dynamical systems.Europhys Lett, 4, 1987

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.715021Z

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Observation 250ab5e3-afbe-470e-aa11-34d7266147ba · outbound

This paper cites Recurrence plots for the analysis of complex systems.Physics reports, 438(5-6):237–329,.

The symbolic partition with generalized Koopman analysis Recurrence plots for the analysis of complex systems.Physics reports, 438(5-6):237–329,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.513437Z

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Observation 3684a278-46db-4329-b058-c9e2bee7891a · outbound

This paper cites Wiley Series in Telecommunications and Signal Processing, 2017.

The symbolic partition with generalized Koopman analysis Wiley Series in Telecommunications and Signal Processing, 2017

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.505691Z

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Observation 0c11f11c-ce4f-43bd-abe6-c673eed0beb7 · outbound

This paper cites Rev Mod Phys, 57(3):617, 1985.

The symbolic partition with generalized Koopman analysis Rev Mod Phys, 57(3):617, 1985

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.498009Z

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Observation 7cc576f8-c41b-42a3-bc89-926ada1778c9 · outbound

This paper cites Complex orbits in a second-order digital filter with sinusoidal response.Chaos Soliton Fract, 40(4):1660– 1667, 2009.

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

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Observation 7f0a9f4e-7976-4038-b5f2-1e72afad26c4 · outbound

This paper cites Topological classification of periodic orbits in the generalized lorenz-type system with diverse symbolic dynamics.Chaos Soliton Fract, 154:111686, 2022.

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

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Observation 744beb73-61bf-4b66-bb4d-1eccd4bcfcee · outbound

This paper cites Symbolicdynamicsandentropyanalysisof feigenbaum limit sets.Chaos Soliton Fract, 10(7):1135–1150, 1999.

The symbolic partition with generalized Koopman analysis Symbolicdynamicsandentropyanalysisof feigenbaum limit sets.Chaos Soliton Fract, 10(7):1135–1150, 1999

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.734863Z

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Observation d2abd42b-cbbc-4c60-8a50-8b78ab604a51 · outbound

This paper cites Symbolicdynamicsandchaoticsyn- chronization in coupled duffing oscillators.J Nonlinear Math Phys, 15:102–110, 2008.

The symbolic partition with generalized Koopman analysis Symbolicdynamicsandchaoticsyn- chronization in coupled duffing oscillators.J Nonlinear Math Phys, 15:102–110, 2008

Reference 11

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Observation 77b758ea-c21f-4b6f-98cd-c56aebdd83d4 · outbound

This paper cites Symbol sequence statistics in noisy chaotic signal reconstruction.Phys Rev E, 51(5):3871–3889,.

The symbolic partition with generalized Koopman analysis Symbol sequence statistics in noisy chaotic signal reconstruction.Phys Rev E, 51(5):3871–3889,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.490428Z

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Observation be85a08c-5784-44eb-b6ea-40a03974b8e9 · outbound

This paper cites Communicating with chaos.Phys Rev Lett, 70 20:3031–3034, 1993.

The symbolic partition with generalized Koopman analysis Communicating with chaos.Phys Rev Lett, 70 20:3031–3034, 1993

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.745298Z

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Observation 45d5acdf-9d4f-4b00-832e-f87f63a83483 · outbound

This paper cites Experimental control of chaos for communication.Phys Rev Lett, 73(13):1781, 1994.

The symbolic partition with generalized Koopman analysis Experimental control of chaos for communication.Phys Rev Lett, 73(13):1781, 1994

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.747922Z

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Observation 9fd4a08a-a511-4a01-b179-f0efbea6516e · outbound

This paper cites Symbolic dynamics and computation in model gene networks.Chaos, 11(1):160–160, 2001.

The symbolic partition with generalized Koopman analysis Symbolic dynamics and computation in model gene networks.Chaos, 11(1):160–160, 2001

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.751002Z

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Observation 73e82890-6bc9-42cd-a492-c0a26dd87a30 · outbound

This paper cites Chaos:classicalandquantum.

The symbolic partition with generalized Koopman analysis Chaos:classicalandquantum

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.482709Z

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Observation b7f3af90-7e8d-4913-8c3e-dd33c0d08892 · outbound

This paper cites Generating partitions for the dissipa- tive hénon map.Physics Lett A, 113(5):235–238, 1985.

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

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.755715Z

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Observation e31d2665-fa2e-415e-94e8-95acd4c89207 · outbound

This paper cites On the symbolic dynam- ics of the henon map.J Phys A, 22(22):5217, 1989.

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

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.758244Z

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Observation cc1868aa-aac0-49fe-b3be-628b56b49407 · outbound

This paper cites A generating partition for the standard map.Phys Rev E, 51(5):R3811, 1995.

The symbolic partition with generalized Koopman analysis A generating partition for the standard map.Phys Rev E, 51(5):R3811, 1995

Reference 19

Resolution: verified exact; doi, observed 2026-08-07T05:51:36.071367Z

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Observation db491c6d-2cad-45c1-897d-b0126b93a83f · outbound

This paper cites Symbolicpartitioninchaoticmaps.Chaos,2021.

The symbolic partition with generalized Koopman analysis Symbolicpartitioninchaoticmaps.Chaos,2021

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.763104Z

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Observation 226a6a43-f020-4e4f-b5d8-f9a2e831e6af · outbound

This paper cites Cambridge University Press, 2002.

The symbolic partition with generalized Koopman analysis Cambridge University Press, 2002

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.474907Z

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Observation b54f6bf7-a47f-46f2-b60a-21f144cc1c1c · outbound

This paper cites Model identification by periodic- orbit analysis for nmr-laser chaos.Phys Lett A, 153(17):2244–2247,.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.467131Z

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Observation 2cc5cf7f-51c6-422c-90ad-49ee2cf8b16a · outbound

This paper cites Progress in the analysis of experimental chaos through periodic orbits.Rev Mod Phys, 66(4):1389–1415,.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.458842Z

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Observation 8c74fd7b-4a2b-410e-a036-a8bc97e2637a · outbound

This paper cites Estimating generating par- titions of chaotic systems by unstable periodic orbits.Phys Rev E, 61(2):1353, 2000.

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

Resolution: verified exact; doi, observed 2026-08-07T05:51:36.041171Z

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Observation a99961b0-bf73-41f1-b3af-625bd3b481ba · outbound

This paper cites Combining topologi- cal analysis and symbolic dynamics to describe a strange attractor and its crises.Phys Rev Lett, 73(10):1364–1367, 1994.

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

Resolution: verified exact; doi, observed 2026-08-07T05:51:36.032767Z

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Observation e7f24180-3ca6-471f-8958-fa49094e30a4 · outbound

This paper cites From template analysis to generating partitions ii: Characterization of the symbolic encodings.Phys- ica D, 144(3):259–278, 2000.

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

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Observation 082ab3e0-6d76-4b4a-9fa5-536f3bc7da5f · outbound

This paper cites Symbolicdynamicsofone-dimensional maps: Entropies, finite precision, and noise.Int J Theor Phys, 21(6):433–466, 1982.

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

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.788740Z

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Observation bc745a41-1dc5-428b-8280-85305efbbf0b · outbound

This paper cites Symbolic dynamics of noisy chaos.

The symbolic partition with generalized Koopman analysis Symbolic dynamics of noisy chaos

Reference 29

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Observation 1da11576-c7f5-4903-9c76-04fef176ba52 · outbound

This paper cites Estimating good discrete partitions from observed data: symbolic false nearest neighbors.AIP Conf Proc, 91:084102, 2003.

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

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Observation 94ad3871-0737-4595-8eee-f9a068e0c096 · outbound

This paper cites Statisticallyrelaxingtogeneratingpartitionsfor observed time-series data.Phys Rev E, 71(4-2):046213, 2005.

The symbolic partition with generalized Koopman analysis Statisticallyrelaxingtogeneratingpartitionsfor observed time-series data.Phys Rev E, 71(4-2):046213, 2005

Reference 31

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Observation 8edb271f-4d58-4fff-b677-714a29e26aa3 · outbound

This paper cites Estimating a generating partition from observed time series: Symbolic shadowing.Phys Rev E, 70(1- 2):016215, 2004.

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

Resolution: verified exact; doi, observed 2026-08-07T05:51:35.997440Z

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Observation 99c50855-e498-4016-b24b-97027241093d · outbound

This paper cites Estimating optimal partitions for stochastic complex systems.Eur Phys J Spec Topics, 222(2):303–315, 2013.

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

Resolution: verified exact; doi, observed 2026-08-07T05:51:35.988845Z

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Observation 9e570adf-f01e-4b85-ab93-b1d61299eb05 · outbound

This paper cites Empirical generating partitions of driven oscillators using optimized symbolic shadowing.Phys Rev E, 98(3),.

The symbolic partition with generalized Koopman analysis Empirical generating partitions of driven oscillators using optimized symbolic shadowing.Phys Rev E, 98(3),

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.450728Z

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Observation be6aecf7-1ee4-4352-aca8-c45ba24516bc · outbound

This paper cites 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.

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

Resolution: verified exact; doi, observed 2026-08-07T05:51:35.974855Z

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Observation 076c393a-6e5b-42a4-8dc2-9fce6b287132 · outbound

This paper cites Finding periodic points from short time series.Phys Review E, 56(1):346–350, 1997.

The symbolic partition with generalized Koopman analysis Finding periodic points from short time series.Phys Review E, 56(1):346–350, 1997

Reference 36

Resolution: verified exact; doi, observed 2026-08-07T05:51:35.965453Z

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Observation 44f8dea1-9030-4f2b-8015-721f6690e2f0 · outbound

This paper cites Detecting unstable periodic orbits of chaotic dynamical systems.Phys Rev Lett, 78(25):4733–4736, 1997.

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

Resolution: verified exact; doi, observed 2026-08-07T05:51:35.956735Z

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Observation 2e0d0d8f-c9a6-43b6-a527-0189280e7700 · outbound

This paper cites Hamiltonian systems and transformation in hilbert space.Proc Natl Acad Sci, 17(5):315–318, 1931.

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

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.817096Z

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Observation 14c56d18-4fe7-4e6c-acc3-6d88e0b38f3b · outbound

This paper cites Dynamic mode decomposition of numerical and experimental data.J Fluid Mech, 656(10):5–28, 2010.

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

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Observation 1e5071de-e7b3-4da5-bc93-7bf9e54c0d54 · outbound

This paper cites A data–driven ap- proximation of the koopman operator: Extending dynamic mode decomposition.J Nonlinear Sci, 25:1307 – 1346, 2014.

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

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.822132Z

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Observation 12a7c896-fa71-490f-b275-6efafd4e1d5a · outbound

This paper cites Spectral analysis of nonlinear flows.J Fluid Mech, 2009.

The symbolic partition with generalized Koopman analysis Spectral analysis of nonlinear flows.J Fluid Mech, 2009

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.824618Z

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Observation abb59fd4-ba99-4c6a-addc-33eb9eb5e51f · outbound

This paper cites Koopman-mode decomposition of the cylinder wake.J Fluid Mech, 726:596–623, 2013.

The symbolic partition with generalized Koopman analysis Koopman-mode decomposition of the cylinder wake.J Fluid Mech, 726:596–623, 2013

Reference 42

Resolution: verified exact; doi, observed 2026-08-07T05:51:35.926320Z

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Observation 0b881ee2-6bba-4d0d-8030-49a1c21b2a6c · outbound

This paper cites Applications of the dynamic mode decomposition.Theor Comput Fluid Dyn, 25(1-4):249–259, 2011.

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

Resolution: verified exact; doi, observed 2026-08-07T05:51:35.917989Z

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Observation 913b41ef-6b34-4a4e-a1fb-fc310d6a6160 · outbound

This paper cites Decomposing building system data for model validation and analysis using the koopman operator.

The symbolic partition with generalized Koopman analysis Decomposing building system data for model validation and analysis using the koopman operator

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.442137Z

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Observation f2d7117c-34f4-487f-bd20-3a30b0231755 · outbound

This paper cites Creating zoning approx- imations to building energy models using the koopman operator.

The symbolic partition with generalized Koopman analysis Creating zoning approx- imations to building energy models using the koopman operator

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.433820Z

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Observation f26b07b3-8843-481b-a01a-2d45ac283f6b · outbound

This paper cites Nonlinear koopman modes and coherency identi- ficationofcoupledswingdynamics.IEEE T Power Syst,26(4):1894– 1904, 2011.

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

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T05:51:36.328494Z

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Observation 8a8a2101-3072-4535-9bbc-4c0863ab0fd0 · outbound

This paper cites Nonlinear koopman modes and a precursor to power system swing instabilities.IEEE T Power Syst, 27(3):1182– 1191, 2012.

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

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T05:51:36.239976Z

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Observation 94de4563-f9e0-4bdf-9df3-90b847725342 · outbound

This paper cites Koopmanoperator,geometry,andlearning.Dyn Syst,2020.

The symbolic partition with generalized Koopman analysis Koopmanoperator,geometry,andlearning.Dyn Syst,2020

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.425521Z

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Observation efba2a0d-34d5-47da-921a-6f43a2f539e9 · outbound

This paper cites Phase space partition with koopman analysis.

The symbolic partition with generalized Koopman analysis Phase space partition with koopman analysis

Reference 49

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Observation 5a3853c1-c6b8-453a-8bfe-8504142e32a5 · outbound

This paper cites Maximum hyperchaos in generalized hénon maps.Phys Lett A, 151(6):281–284, 1990.

The symbolic partition with generalized Koopman analysis Maximum hyperchaos in generalized hénon maps.Phys Lett A, 151(6):281–284, 1990

Reference 50

Resolution: verified exact; doi, observed 2026-08-07T05:51:35.904256Z

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Observation f5d0f115-d7f5-45eb-9ca0-8097669871e8 · outbound

This paper cites A two-dimensional mapping with a strange attractor.Commun math Phys, 50(1), 1976.

The symbolic partition with generalized Koopman analysis A two-dimensional mapping with a strange attractor.Commun math Phys, 50(1), 1976

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.852763Z

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Observation 0660be78-97b0-4837-9552-f6ab23e64ead · outbound

This paper cites Structure of generating partitions for two- dimensional maps.J Phys A, 3097(16):567–576, 1997.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.415886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 21a2d059-2678-4669-80ab-34ef30cfdffb · outbound

This paper cites PhD thesis, University of Oslo, 1993.

The symbolic partition with generalized Koopman analysis PhD thesis, University of Oslo, 1993

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:51:36.406817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d07013ae-4afd-4438-8ee1-07123f48503e · outbound

This paper cites Homoclinic tangencies, generating partitions andcurvatureofinvariantmanifolds.J Phys A,24(8):1837,1991.

The symbolic partition with generalized Koopman analysis Homoclinic tangencies, generating partitions andcurvatureofinvariantmanifolds.J Phys A,24(8):1837,1991

Reference 54

Resolution: verified exact; doi, observed 2026-08-07T05:51:35.889051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 16caee4f-2c0b-47ef-bb75-c8d053a8032b · outbound

This paper cites an unresolved cited work.

The symbolic partition with generalized Koopman analysis Unresolved cited work

Reference 1991

Resolution: verified exact; doi, observed 2026-08-07T05:51:36.057860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7dd41e48-1001-4c9e-bec3-013cd798a01d · outbound

This paper cites an unresolved cited work.

The symbolic partition with generalized Koopman analysis Unresolved cited work

Reference 1994

Resolution: verified exact; doi, observed 2026-08-07T05:51:36.049827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aa865816-5431-4bbc-8a4c-032ab299e7f6 · outbound

This paper cites an unresolved cited work.

The symbolic partition with generalized Koopman analysis Unresolved cited work

Reference 1995

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.742553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79254920-9822-4e9c-beee-346c97f8b4b3 · outbound

This paper cites an unresolved cited work.

The symbolic partition with generalized Koopman analysis Unresolved cited work

Reference 2007

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.720657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eadba353-6fe6-44a0-89f1-112380145a1b · outbound

This paper cites an unresolved cited work.

The symbolic partition with generalized Koopman analysis Unresolved cited work

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-07T05:51:35.806448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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