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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2310.17400 |
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| _version_ | 1866908684863406080 |
|---|---|
| author | Vitório, Henrique |
| author_facet | Vitório, Henrique |
| contents | We develop appropriate notions of Maslov index and spectral flow for electromagnetic geodesics within a fixed energy level and prove a Morse Index type theorem in this context. This is then applied to the problem of electromagnetic geodesics, all of whose energy are the same, bifurcating from a given one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_17400 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Maslov Index, Spectral Flow and Bifurcation of Electromagnetic Geodesics Within an Energy Level Vitório, Henrique Classical Analysis and ODEs Functional Analysis 58E07, 58E10, 47A53 We develop appropriate notions of Maslov index and spectral flow for electromagnetic geodesics within a fixed energy level and prove a Morse Index type theorem in this context. This is then applied to the problem of electromagnetic geodesics, all of whose energy are the same, bifurcating from a given one. |
| title | Maslov Index, Spectral Flow and Bifurcation of Electromagnetic Geodesics Within an Energy Level |
| topic | Classical Analysis and ODEs Functional Analysis 58E07, 58E10, 47A53 |
| url | https://arxiv.org/abs/2310.17400 |