From Euler-Jacobi to Bogoyavlensky and back

Fuente: arXiv
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Main Authors: Murari, Davide, Sansonetto, Nicola
Format: Preprint
Published: 2025
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author Murari, Davide
Sansonetto, Nicola
author_facet Murari, Davide
Sansonetto, Nicola
contents This work focuses on two notions of non-Hamiltonian integrable systems: B-integrability and Euler-Jacobi integrability. We first show that the first notion is stronger. We then investigate which possible "non-evident" properties one can add to the Euler-Jacobi Theorem to make the dynamics B-integrable.
format Preprint
id arxiv_https___arxiv_org_abs_2503_21950
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle From Euler-Jacobi to Bogoyavlensky and back
Murari, Davide
Sansonetto, Nicola
Dynamical Systems
Mathematical Physics
Exactly Solvable and Integrable Systems
37J35, 37J60, 37J15, 70H06
This work focuses on two notions of non-Hamiltonian integrable systems: B-integrability and Euler-Jacobi integrability. We first show that the first notion is stronger. We then investigate which possible "non-evident" properties one can add to the Euler-Jacobi Theorem to make the dynamics B-integrable.
title From Euler-Jacobi to Bogoyavlensky and back
topic Dynamical Systems
Mathematical Physics
Exactly Solvable and Integrable Systems
37J35, 37J60, 37J15, 70H06
url https://arxiv.org/abs/2503.21950