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.
From Euler–Jacobi to Bogoyavlenskij and back
Murari, Davide;Sansonetto, Nicola
2026-01-01
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.
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