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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.26344 |
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Table of Contents:
- The identification of invariant objects and Lagrangian coherent structures is a cornerstone of dynamical systems. As a consequence, several diagnostic indicators have been established over time, such as the fast Lyapunov indicator, the finite-time Lyapunov exponent, and Lagrangian descriptors, among others. In this work, we introduce the Strong Trajectorial Ontological Differentiation (STOD) as a novel tool to identify phase-space structures. Unlike other indicators, STOD does not rely on the study of the tangent flow; instead, it identifies phase-space structures by comparing trajectories through a component-wise cancellation process inspired on the Ontological Differentiation (OD) that was originally developed for lexical networks [P. García-Cuadrillero, F. Revuelta, J. A. Capitán, Phys. Rev. E 113, 014305 (2026)]. By applying a reversed-time version of STOD (FinSTOD) to five paradigmatic autonomous and non-autonomous systems of increasing complexity, we show the excellent performance of this indicator in the identification of phase-space structures, adding a new useful tool to the chaotic toolbox.