Heavy rigid body with a gyroscope in $\mathbb R^n$
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917188455104512 |
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| author | Dragovic, Vladimir Gajic, Borislav Jovanovic, Bozidar |
| author_facet | Dragovic, Vladimir Gajic, Borislav Jovanovic, Bozidar |
| contents | Starting from the following multidimensional integrable generalizations of the heavy rigid body systems: the Euler top, the Lagrange top, the Lagrange bitop, and the totally symmetric case, we add to each of them a gyroscope. For each of the newly constructed systems, we provide a polynomial matrix Lax representation and prove Liouville integrability. We also present Zhukovskiy's geometric representation of motion of the Euler top with a gyroscope. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03965 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Heavy rigid body with a gyroscope in $\mathbb R^n$ Dragovic, Vladimir Gajic, Borislav Jovanovic, Bozidar Mathematical Physics Exactly Solvable and Integrable Systems 70E45, 70E40, 37J35, 70G65 Starting from the following multidimensional integrable generalizations of the heavy rigid body systems: the Euler top, the Lagrange top, the Lagrange bitop, and the totally symmetric case, we add to each of them a gyroscope. For each of the newly constructed systems, we provide a polynomial matrix Lax representation and prove Liouville integrability. We also present Zhukovskiy's geometric representation of motion of the Euler top with a gyroscope. |
| title | Heavy rigid body with a gyroscope in $\mathbb R^n$ |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems 70E45, 70E40, 37J35, 70G65 |
| url | https://arxiv.org/abs/2601.03965 |