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Updated: Jan 16, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
Published on: September 23, 2025
Structure analysis of the Lorenz-84 chaotic attractor
1Université de Perpignan Via Domitia, CNRS, Laboratoire Génome et Développement des Plantes UMR-5096, F-66860 Perpignan, France.
Abstract:
The structure of the Lorenz-84 attractor is investigated in this study. Its dynamics belonging to weakly dissipative chaos, classical approaches cannot be used to analyze its structure. The color tracer mapping is introduced for this purpose and used to extract the three-dimensional structure of the attractor. The analysis shows that the attractor is a nontrivial case of toroidal chaos: it is organized around a period-2 cavity. Moreover, the structure reveals a new mechanism generating chaos in the attractor: a multidirectional stretching. The attractor structure is then artificially represented on a two-dimensional branched manifold, and its validation is performed using a set of periodic orbits previously extracted.
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