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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.23490 |
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| _version_ | 1866911574730473472 |
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| author | Zadra, Federico Seri, Marcello |
| author_facet | Zadra, Federico Seri, Marcello |
| contents | This paper explores the relationship between Cartan symmetries, dynamical similarities, and dynamical symmetries in contact Hamiltonian mechanics. By introducing an alternative decomposition of vector fields, we characterize these symmetries and present a novel description in terms of tensor densities. Furthermore, we demonstrate that this framework allows, under specific conditions, for the recovery of integrals of motion. We also establish new criteria to assess their independence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23490 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characterization of symmetries of contact Hamiltonian systems Zadra, Federico Seri, Marcello Mathematical Physics Dynamical Systems 0G45, 70G65, 70H33, 34A26, 53D10 This paper explores the relationship between Cartan symmetries, dynamical similarities, and dynamical symmetries in contact Hamiltonian mechanics. By introducing an alternative decomposition of vector fields, we characterize these symmetries and present a novel description in terms of tensor densities. Furthermore, we demonstrate that this framework allows, under specific conditions, for the recovery of integrals of motion. We also establish new criteria to assess their independence. |
| title | Characterization of symmetries of contact Hamiltonian systems |
| topic | Mathematical Physics Dynamical Systems 0G45, 70G65, 70H33, 34A26, 53D10 |
| url | https://arxiv.org/abs/2410.23490 |