Floquet-like theory and gauge transformations for general smooth dynamical systems
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912616569372672 |
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| author | Gaeta, Giuseppe Walcher, Sebastian |
| author_facet | Gaeta, Giuseppe Walcher, Sebastian |
| contents | The classical Floquet theory allows to map a time-periodic system of linear differential equations into an autonomous one. By looking at it in a geometrical way, we extend the theory to a class of non-autonomous non-periodic equations. This is obtained by considering a change of variables which depends on time in a non-trivial way, i.e. introducing gauge transformations, well known in fundamental Physics and Field Theory -- but which seems to have received little attention in this context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14982 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Floquet-like theory and gauge transformations for general smooth dynamical systems Gaeta, Giuseppe Walcher, Sebastian Mathematical Physics Dynamical Systems The classical Floquet theory allows to map a time-periodic system of linear differential equations into an autonomous one. By looking at it in a geometrical way, we extend the theory to a class of non-autonomous non-periodic equations. This is obtained by considering a change of variables which depends on time in a non-trivial way, i.e. introducing gauge transformations, well known in fundamental Physics and Field Theory -- but which seems to have received little attention in this context. |
| title | Floquet-like theory and gauge transformations for general smooth dynamical systems |
| topic | Mathematical Physics Dynamical Systems |
| url | https://arxiv.org/abs/2506.14982 |