Data-driven approach to the deep learning of the dynamics of a non-integrable Hamiltonian system

Abstract The dynamics of non-integrable Hamiltonian systems, described by area-preserving mappings, are regulated by the KAM theorem. This states that the phase space of the system is made up of interwoven sets of regular and chaotic dynamics, whose extent depends on a chaoticity parameter k. The ch...

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Bibliographic Details
Main Authors: Elizabeth Doria Rosales, Vincenzo Carbone, Fabio Lepreti
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-025-03607-2
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