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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.15195 |
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| _version_ | 1866911102515806208 |
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| author | Goncharuk, Nataliya Yampolsky, Michael |
| author_facet | Goncharuk, Nataliya Yampolsky, Michael |
| contents | We study the global behavior of the renormalization operator on a specially constructed Banach manifold that has cubic critical circle maps on its boundary and circle diffeomorphisms in its interior. As an application, we prove results on smoothness of irrational Arnold tongues. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_15195 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Renormalization of circle maps and smoothness of Arnold tongues Goncharuk, Nataliya Yampolsky, Michael Dynamical Systems We study the global behavior of the renormalization operator on a specially constructed Banach manifold that has cubic critical circle maps on its boundary and circle diffeomorphisms in its interior. As an application, we prove results on smoothness of irrational Arnold tongues. |
| title | Renormalization of circle maps and smoothness of Arnold tongues |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2307.15195 |