Rigidity of saddle loops
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866911276927549440 |
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| author | Panazzolo, Daniel Resman, Maja Teyssier, Loïc |
| author_facet | Panazzolo, Daniel Resman, Maja Teyssier, Loïc |
| contents | A saddle loop is a germ of a holomorphic foliation near a homoclinic saddle connection. We prove that they are classied by their Poincar{é} rst-return map. We also prove that they are formally rigid when the Poincar{é} map is multivalued. Finally, we provide a list of all analytic classes of Liouville-integrable saddle loops. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_15058 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Rigidity of saddle loops Panazzolo, Daniel Resman, Maja Teyssier, Loïc Dynamical Systems A saddle loop is a germ of a holomorphic foliation near a homoclinic saddle connection. We prove that they are classied by their Poincar{é} rst-return map. We also prove that they are formally rigid when the Poincar{é} map is multivalued. Finally, we provide a list of all analytic classes of Liouville-integrable saddle loops. |
| title | Rigidity of saddle loops |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2112.15058 |