Alla Scoperta Di Schemi Nascosti Nelle Dinamiche Complesse: Dal Problema Degli N-corpi Alle Reti Neurali (e Ritorno)
Year: 2025
Type: article
Abstract: In this note, we present the theoretical and computational approach our research group is developing to detect chaotic behaviours in the classical N-body problem of Celestial Mechanics. Inspired by the famous Poincaré conjecture, we numerically determine large sets of symmetric periodic orbits and we encode their simple motions by revealing the existence of a symbolic dynamics. Finally, we explore a new idea for combining periodic orbits to create new solutions with increasing complexity, using AI algorithms. We also revisit Conley’s ideas on low-energy transport orbits.
Authors: Gian Marco Canneori, Susanna Terracini
Institution: University of Turin
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4407419774