On novel Hamiltonian description of the nonholonomic Suslov problem
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911551671238656 |
|---|---|
| author | Tsiganov, A. V. |
| author_facet | Tsiganov, A. V. |
| contents | We present some new Poisson bivectors that are invariants by the flow of the nonholonomic Suslov problem. Two rank four invariant Poisson bivectors have globally defined Casimir functions and, therefore, define cubic Poisson brackets on the five dimensional state space with standard symplectic leaves. For the Suslov gyrostat in the potential field we found rank two Poisson bivectors having only two globally defined Casimir functions and, therefore, we say about formal Hamiltonian description in these cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19594 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On novel Hamiltonian description of the nonholonomic Suslov problem Tsiganov, A. V. Exactly Solvable and Integrable Systems Mathematical Physics Dynamical Systems We present some new Poisson bivectors that are invariants by the flow of the nonholonomic Suslov problem. Two rank four invariant Poisson bivectors have globally defined Casimir functions and, therefore, define cubic Poisson brackets on the five dimensional state space with standard symplectic leaves. For the Suslov gyrostat in the potential field we found rank two Poisson bivectors having only two globally defined Casimir functions and, therefore, we say about formal Hamiltonian description in these cases. |
| title | On novel Hamiltonian description of the nonholonomic Suslov problem |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Dynamical Systems |
| url | https://arxiv.org/abs/2505.19594 |