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Paper Citation Record · LEDGER

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus

As of 23 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2606.26846.

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2606.26846 v1

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measured 18 of 18 reference resolution

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Outbound references

Observation bc0ada59-a5fb-4d2c-a2d1-0a91e2cd6737 · outbound

This paper cites Uncertainty in phase-frequency synchronization of large populations of globally coupled nonlinear oscillators.Physica D: Nonlinear Phenomena, 141(1-2):65–79, 2000.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Uncertainty in phase-frequency synchronization of large populations of globally coupled nonlinear oscillators.Physica D: Nonlinear Phenomena, 141(1-2):65–79, 2000

Reference 1

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Observation 5b7de21e-8336-49ba-9bc9-3a4d5ef0ded4 · outbound

This paper cites Some remarks on density functions for dual Lyapunov methods.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Some remarks on density functions for dual Lyapunov methods

Reference 2

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Observation 8e633cdf-f24c-4ce3-baf2-a0bbe1b54d8b · outbound

This paper cites Linear parameter-varying and time-delay systems.Analysis, observation, filtering & control, 3(5-7):254, 2014.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Linear parameter-varying and time-delay systems.Analysis, observation, filtering & control, 3(5-7):254, 2014

Reference 3

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Observation 6bd741d4-d0cf-4b5d-af41-146b56d36d1e · outbound

This paper cites CVX Research.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus CVX Research

Reference 4

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Observation 2ac27b38-d3a1-49bb-ac36-99c11bd0215c · outbound

This paper cites an unresolved cited work.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Unresolved cited work

Reference 5

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Observation bae247e1-2164-4b12-9284-606200fbb0e7 · outbound

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Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Unresolved cited work

Reference 6

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Observation 7ec6ff0b-2c9e-4fab-84c3-e65daea60feb · outbound

This paper cites Overviews on the applications of the Kuramoto model in modern power system analysis.International Journal of Electrical Power & Energy Systems, 129:106804, 2021.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Overviews on the applications of the Kuramoto model in modern power system analysis.International Journal of Electrical Power & Energy Systems, 129:106804, 2021

Reference 7

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Observation 7116befc-261e-4b89-8069-ecf34a00d8b8 · outbound

This paper cites An extended Lyapunov-density condition for nonlinear time-varying systems.IFAC- PapersOnLine, 56(2):4478–4483, 2023.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus An extended Lyapunov-density condition for nonlinear time-varying systems.IFAC- PapersOnLine, 56(2):4478–4483, 2023

Reference 8

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Observation 4fa13413-c55c-4181-b60f-cbd69e773992 · outbound

This paper cites Lyapunov density for almost attraction of nonlinear time- varying systems: A condition without assuming local stability.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Lyapunov density for almost attraction of nonlinear time- varying systems: A condition without assuming local stability

Reference 9

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Observation fd138bbf-36db-420b-b862-45fa256cba66 · outbound

This paper cites Lyapunov density criteria for time-varying and periodically time-varying nonlinear systems with converse results.SIAM Journal on Control and Optimization, 59(1):223–241, 2021.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Lyapunov density criteria for time-varying and periodically time-varying nonlinear systems with converse results.SIAM Journal on Control and Optimization, 59(1):223–241, 2021

Reference 10

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Observation a41a6e30-8706-44f5-95bd-a3478c4eb48f · outbound

This paper cites On Rantzer’s density function.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus On Rantzer’s density function

Reference 11

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Observation d1bcdd71-823e-4e14-bf1c-822c16c1a985 · outbound

This paper cites Almost global stability of time-varying systems.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Almost global stability of time-varying systems

Reference 12

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Observation 2ff15cdf-56a9-42a6-a2e8-503bb30bfb42 · outbound

This paper cites Kuramoto model with time-varying parameters.Phys.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Kuramoto model with time-varying parameters.Phys

Reference 13

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Observation 2a28589d-53e5-448d-88ce-e03d6ea4b7f2 · outbound

This paper cites Nonlinear control synthesis by convex opti- mization.IEEE Transactions on Automatic Control, 49(2):310–314, 2004.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Nonlinear control synthesis by convex opti- mization.IEEE Transactions on Automatic Control, 49(2):310–314, 2004

Reference 14

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Observation 450be260-1268-4aca-a8b5-482fffcfcdd5 · outbound

This paper cites A dual to Lyapunov’s stability theorem.Systems & Control Letters, 42(3):161–168, 2001.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus A dual to Lyapunov’s stability theorem.Systems & Control Letters, 42(3):161–168, 2001

Reference 15

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Observation fb3688e6-4c06-4b8c-a9bb-cfe173ea4421 · outbound

This paper cites Software: Nonautonomous Lyapunov Density on Torus solver.https://github.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Software: Nonautonomous Lyapunov Density on Torus solver.https://github

Reference 16

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Observation 842f2f2b-25b2-4a93-afff-4a98a7f2c13b · outbound

This paper cites Certification of stability for systems of coupled phase oscillators.Nonlinear Analysis: Hybrid Systems, 61:101739, 2026.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Certification of stability for systems of coupled phase oscillators.Nonlinear Analysis: Hybrid Systems, 61:101739, 2026

Reference 17

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Observation 68f57365-a60b-4aae-8829-65bdb12aa7ad · outbound

This paper cites Construction of Lyapunov certificates for oscillatory systems.Preprints, February 2026.

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus Construction of Lyapunov certificates for oscillatory systems.Preprints, February 2026

Reference 18

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