Paper Citation Record · LEDGER

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles

As of 20 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2608.05522.

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2608.05522 v1

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Observation 0b1fa33e-ce9b-42d5-92e7-b4b5953a3055 · outbound

This paper cites Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems: A method for computing all of them. Part 1: Theory,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems: A method for computing all of them. Part 1: Theory,

Reference 1

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Observation 695df231-057a-400d-b04c-5306caa62c04 · outbound

This paper cites Determining Lyapunov exponents from a time series,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Determining Lyapunov exponents from a time series,

Reference 2

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This paper cites Measurement of the Lyapunov spectrum from a chaotic time series,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Measurement of the Lyapunov spectrum from a chaotic time series,

Reference 3

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Observation b960cd47-2b01-47e4-8b3d-6c971f70bacd · outbound

This paper cites Lyapunov exponents from time series,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Lyapunov exponents from time series,

Reference 4

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Observation 9f8ced24-d6b4-43ef-91a0-e612dfe70fa8 · outbound

This paper cites A practical method for calculating largest Lyapunov exponents from small data sets,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles A practical method for calculating largest Lyapunov exponents from small data sets,

Reference 5

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Observation 1888c5b5-2ab4-4384-842d-43badee293c5 · outbound

This paper cites A robust method to estimate the maximal Lyapunov exponent of a time series,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles A robust method to estimate the maximal Lyapunov exponent of a time series,

Reference 6

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Observation b19f1f50-894d-4e96-b385-4ee3dc001886 · outbound

This paper cites Simple mathematical models with very complicated dynamics,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Simple mathematical models with very complicated dynamics,

Reference 7

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Observation f6354639-9dc1-4716-8ab9-33fe1dd8b890 · outbound

This paper cites Predictability: A way to characterize complexity,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Predictability: A way to characterize complexity,

Reference 8

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Observation f6c30ec0-a0ff-42e5-8899-2931287899d8 · outbound

This paper cites A novel approach for estimating largest Lyapunov exponents in one-dimensional chaotic time series using machine learning,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles A novel approach for estimating largest Lyapunov exponents in one-dimensional chaotic time series using machine learning,

Reference 9

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Observation b45f6f5c-9403-4331-9f9e-e84af1ecde69 · outbound

This paper cites Chaotic map with no fixed points: Entropy, implementation and control,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Chaotic map with no fixed points: Entropy, implementation and control,

Reference 10

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Observation 7506d7a4-e9f3-47c4-8203-a5e8c5c5cd40 · outbound

This paper cites A robust method on estimation of Lyapunov exponents from a noisy time series,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles A robust method on estimation of Lyapunov exponents from a noisy time series,

Reference 11

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Observation affcc9c6-82df-40a5-9da4-c715e5386084 · outbound

This paper cites Estimation of Lyapunov exponents from a time series for n-dimensional state space using nonlinear mapping,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Estimation of Lyapunov exponents from a time series for n-dimensional state space using nonlinear mapping,

Reference 12

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Observation 60a8cea5-83aa-4982-bc6d-04714b4e7fdc · outbound

This paper cites A radial-basis-function network-based method of estimating Lyapunov exponents from a scalar time series for analyzing nonlinear systems stability,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles A radial-basis-function network-based method of estimating Lyapunov exponents from a scalar time series for analyzing nonlinear systems stability,

Reference 13

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Observation fb3218a8-99c2-403a-8f02-29b9e0b040f7 · outbound

This paper cites Improved assessment of orbital stability of rhythmic motion with noise,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Improved assessment of orbital stability of rhythmic motion with noise,

Reference 14

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Observation 4b2cb4a5-aec6-4473-8084-7e5448fd010f · outbound

This paper cites Development of Floquet multiplier estimator to determine nonlinear oscillatory behavior in power system data measurement,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Development of Floquet multiplier estimator to determine nonlinear oscillatory behavior in power system data measurement,

Reference 15

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Observation 4401a197-7910-48dd-a6e1-c2ab953b448c · outbound

This paper cites Improving empirical characteristic multiplier estimation through a change of basis,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Improving empirical characteristic multiplier estimation through a change of basis,

Reference 16

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Observation b59d6445-bdf9-4b89-b73e-b229c4ce7c35 · outbound

This paper cites Poincar´ e maps for multi- scale physics discovery and nonlinear Floquet theory,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Poincar´ e maps for multi- scale physics discovery and nonlinear Floquet theory,

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This paper cites A data-driven phase and isostable reduced modeling framework for oscillatory dynamical systems,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles A data-driven phase and isostable reduced modeling framework for oscillatory dynamical systems,

Reference 18

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Observation e06d3965-bc22-43b1-be8c-00ce2ef03523 · outbound

This paper cites Estimating asymptotic phase and amplitude functions of limit-cycle oscillators from time-series data,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Estimating asymptotic phase and amplitude functions of limit-cycle oscillators from time-series data,

Reference 19

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This paper cites A data-driven approximation of the Koopman operator: Extending dynamic mode decomposition,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles A data-driven approximation of the Koopman operator: Extending dynamic mode decomposition,

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Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Global stability analysis using the eigenfunctions of the Koopman operator,

Reference 21

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This paper cites Data-driven transient sta- bility analysis using the Koopman operator,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Data-driven transient sta- bility analysis using the Koopman operator,

Reference 22

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This paper cites Big data-driven predictive control for nonlinear systems—A trajectory cluster-based contraction approach,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Big data-driven predictive control for nonlinear systems—A trajectory cluster-based contraction approach,

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Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Convex data-driven contraction with Riemannian metrics,

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This paper cites Supervised machine learning to estimate instabilities in chaotic systems: Estimation of local Lyapunov exponents,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Supervised machine learning to estimate instabilities in chaotic systems: Estimation of local Lyapunov exponents,

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Observation 43145360-f0f2-4aa5-8772-f4116a0e1805 · outbound

This paper cites Full Lyapunov exponents spectrum with deep learning from single-variable time series,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Full Lyapunov exponents spectrum with deep learning from single-variable time series,

Reference 26

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Observation 20bb4bb1-d9ca-4c86-8a27-80caf9a7618f · outbound

This paper cites Ambient vibration re-testing and operational modal analysis of the Humber Bridge,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Ambient vibration re-testing and operational modal analysis of the Humber Bridge,

Reference 27

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Observation c8278e2a-911d-449d-8f42-07c3d47ce323 · outbound

This paper cites Ambient and free-vibration tests to improve the quantification and estimation of modal parameters in existing bridges,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Ambient and free-vibration tests to improve the quantification and estimation of modal parameters in existing bridges,

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Observation b9953f7d-d2ce-4087-9c00-2476d9fc157b · outbound

This paper cites Influence of the modal damping ratio calculation method in the analysis of dynamic events obtained in structural health monitoring of bridges,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Influence of the modal damping ratio calculation method in the analysis of dynamic events obtained in structural health monitoring of bridges,

Reference 29

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This paper cites Intelligent automatic operational modal analysis,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Intelligent automatic operational modal analysis,

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This paper cites Quantitative analysis of non-equilibrium systems from short-time experimental data,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Quantitative analysis of non-equilibrium systems from short-time experimental data,

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Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Modeling nonlinear dynamics from videos,

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This paper cites Condition monitoring of impact vibrations using observed signals and estimated principal Lyapunov exponents,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Condition monitoring of impact vibrations using observed signals and estimated principal Lyapunov exponents,

Reference 33

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Observation f805b670-780e-4544-a663-206106290960 · outbound

This paper cites Data-driven method for identifying the expression of the Lyapunov exponent from discrete random data,.

Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Data-driven method for identifying the expression of the Lyapunov exponent from discrete random data,

Reference 34

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Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Data-driven spectral analysis of the Koopman operator,

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Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Modern Koopman theory for dynamical systems,

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Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles Rigorous data-driven computation of spectral proper- ties of Koopman operators for dynamical systems,

Reference 37

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