Reduction of hybrid Hamiltonian systems with non-equivariant momentum maps
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917097576071168 |
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| author | Colombo, Leonardo Irazú, María Emma Eyrea García, María Eugenia López-Gordón, Asier Zuccalli, Marcela |
| author_facet | Colombo, Leonardo Irazú, María Emma Eyrea García, María Eugenia López-Gordón, Asier Zuccalli, Marcela |
| contents | We develop a reduction scheme à la Marsden-Weinstein-Meyer for hybrid Hamiltonian systems. Our method does not require the momentum map to be equivariant, neither to be preserved by the impact map. We illustrate the applicability of our theory with an example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22290 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reduction of hybrid Hamiltonian systems with non-equivariant momentum maps Colombo, Leonardo Irazú, María Emma Eyrea García, María Eugenia López-Gordón, Asier Zuccalli, Marcela Mathematical Physics Dynamical Systems Symplectic Geometry We develop a reduction scheme à la Marsden-Weinstein-Meyer for hybrid Hamiltonian systems. Our method does not require the momentum map to be equivariant, neither to be preserved by the impact map. We illustrate the applicability of our theory with an example. |
| title | Reduction of hybrid Hamiltonian systems with non-equivariant momentum maps |
| topic | Mathematical Physics Dynamical Systems Symplectic Geometry |
| url | https://arxiv.org/abs/2503.22290 |