From the Rössler attractor to the templex - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2023

From the Rössler attractor to the templex

Résumé

Methods to accomplish a topological description of the structure of a flow in high-dimensional state space (in more than three dimensions) have a long history, full of partially fruitful attempts, but the ideal mathematical object to achieve this task seems to be what we now call templex. Cell complexes can be traced back to Poincaré’s papers during 1900 and the study of chaotic attractors using cell complexes to the 1990s. Since then, algebraic topology has been regarded as the most promising mathematical formalism to describe chaos beyond three dimensions, overcoming the restrictions that templates, based on the knot content of attractors, cannot represent. In this talk, we present the road leading to the templex starting from the Rössler attractor and ending with a four-dimensional system designed on the basis of a set of equations proposed by Deng.
Fichier principal
Vignette du fichier
Otto_Chaos___6_pages___I.pdf (3.64 Mo) Télécharger le fichier
Sciamarella.pdf (8.35 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04276337 , version 1 (08-11-2023)

Identifiants

  • HAL Id : hal-04276337 , version 1

Citer

Denisse Sciamarella, Gisela D Charó, Christophe Letellier. From the Rössler attractor to the templex. OTTOCHAOS: FROM THE NONLINEAR DYNAMICAL SYSTEMS THEORY TO OBSERVATIONAL CHAOS, Oct 2023, Toulouse, France. ⟨hal-04276337⟩
30 Consultations
9 Téléchargements

Partager

Gmail Facebook X LinkedIn More