A new 0-persistence exponent derived from persistent homology quantifies chaos with proven stability and non-negativity when Lyapunov exponents are positive.
Measuring the strangeness of strange attractors.Physica D: Nonlinear Phenomena, 9(1–2):189–208, 1983
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An automated detection method applied to simulated flare ribbon data identifies fine structures whose motions and flux distribution are consistent with plasmoid-mediated reconnection.
PIDM-DP integrates Dormand-Prince ODE solving into DDPM denoising with scheduled physics guidance to reconstruct chaotic states, reporting up to 15.4x RMSE gains over baselines on five systems including stiff cases.
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A Stable Measure of Chaos in Dynamical Systems using Persistent Homology
A new 0-persistence exponent derived from persistent homology quantifies chaos with proven stability and non-negativity when Lyapunov exponents are positive.