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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.04410 |
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| _version_ | 1866909951209766912 |
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| author | Argentieri, Fernando Corsi, Livia |
| author_facet | Argentieri, Fernando Corsi, Livia |
| contents | We provide an arithmetic condition weaker then the Bryuno condition for which it is possible to apply a KAM scheme in dimension greater then one. The KAM scheme will be provided in the setting of linearization of analytic diffeomorphisms of the torus that are close to a rotation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04410 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the linearization of analytic diffeomorphisms of the torus Argentieri, Fernando Corsi, Livia Dynamical Systems 37J40, 70H08, 37C55 We provide an arithmetic condition weaker then the Bryuno condition for which it is possible to apply a KAM scheme in dimension greater then one. The KAM scheme will be provided in the setting of linearization of analytic diffeomorphisms of the torus that are close to a rotation. |
| title | On the linearization of analytic diffeomorphisms of the torus |
| topic | Dynamical Systems 37J40, 70H08, 37C55 |
| url | https://arxiv.org/abs/2404.04410 |