The Morse index theorem for mechanical systems with reflections
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866914848412008448 |
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| author | Wunsch, Jared Yang, Mengxuan Zou, Yuzhou |
| author_facet | Wunsch, Jared Yang, Mengxuan Zou, Yuzhou |
| contents | We prove a Morse index theorem for action functionals on paths that are allowed to reflect at a hypersurface (either in the interior or at the boundary of a manifold). Both fixed and periodic boundary conditions are treated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_16162 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Morse index theorem for mechanical systems with reflections Wunsch, Jared Yang, Mengxuan Zou, Yuzhou Differential Geometry Mathematical Physics Classical Analysis and ODEs Dynamical Systems We prove a Morse index theorem for action functionals on paths that are allowed to reflect at a hypersurface (either in the interior or at the boundary of a manifold). Both fixed and periodic boundary conditions are treated. |
| title | The Morse index theorem for mechanical systems with reflections |
| topic | Differential Geometry Mathematical Physics Classical Analysis and ODEs Dynamical Systems |
| url | https://arxiv.org/abs/2308.16162 |