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Bibliographic Details
Main Author: Ascher, Jörg
Format: Recurso digital
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Published: Zenodo 2025
Online Access:https://doi.org/10.5281/zenodo.17882371
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Table of Contents:
  • <p>This work introduces a twist-topological framework for early-warning signals in dynamical systems. We define <em>sigma-locks</em> as stable self-returning cycles and show how the corresponding sigma distances ($\delta$, $\delta_\sigma$) anticipate instability in logistic maps and the Lorenz flow before Lyapunov-based indicators. We extend the framework with triadic closure metrics to capture higher-order resilience. All methods are fully reproducible via the accompanying code and notebooks.</p>