From Euler-Jacobi to Bogoyavlensky and back
Dynamical Systems
2025-03-31 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.2503.21950,
title = {From Euler-Jacobi to Bogoyavlensky and back},
author = {Davide Murari and Nicola Sansonetto},
journal= {arXiv preprint arXiv:2503.21950},
year = {2025}
}