A k-nearest-neighbor forecast-error method with period-synchronized horizons and transient-slope consensus estimates negative Lyapunov exponents from short trajectory ensembles, recovering 92 of 112 logistic-map exponents and achieving R^2 around 0.98 on a no-fixed-point 2D map.
Measurement of the Lyapunov spectrum from a chaotic time series,
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Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles
A k-nearest-neighbor forecast-error method with period-synchronized horizons and transient-slope consensus estimates negative Lyapunov exponents from short trajectory ensembles, recovering 92 of 112 logistic-map exponents and achieving R^2 around 0.98 on a no-fixed-point 2D map.