Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| author | Colombo, Leonardo de León, Manuel Irazú, María Emma Eyrea López-Gordón, Asier |
| author_facet | Colombo, Leonardo de León, Manuel Irazú, María Emma Eyrea López-Gordón, Asier |
| contents | A hybrid system is a system whose dynamics is given by a mixture of both continuous and discrete transitions. In particular, these systems can be utilised to describe the dynamics of a mechanical system with impacts. Based on the approach by Clark, we develop a geometric Hamilton-Jacobi theory for forced and nonholonomic hybrid dynamical systems. We state the corresponding Hamilton-Jacobi equations for these classes of systems and apply our results to analyze some examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_06252 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems Colombo, Leonardo de León, Manuel Irazú, María Emma Eyrea López-Gordón, Asier Mathematical Physics Dynamical Systems 53Z05, 70F35, 70F40, 70H20, 93C30 A hybrid system is a system whose dynamics is given by a mixture of both continuous and discrete transitions. In particular, these systems can be utilised to describe the dynamics of a mechanical system with impacts. Based on the approach by Clark, we develop a geometric Hamilton-Jacobi theory for forced and nonholonomic hybrid dynamical systems. We state the corresponding Hamilton-Jacobi equations for these classes of systems and apply our results to analyze some examples. |
| title | Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems |
| topic | Mathematical Physics Dynamical Systems 53Z05, 70F35, 70F40, 70H20, 93C30 |
| url | https://arxiv.org/abs/2211.06252 |