Natural levels in return maps of elementary polycycles
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910615205838848 |
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| author | Yeung, Melvin |
| author_facet | Yeung, Melvin |
| contents | We will provide a proof of a known specific case of Dulac's Theorem in the style of Ilyashenko. From this we derive a quasi-analyticity result for some return maps of polycycles and we give a Structural Theorem for the formal asymptotics of such a polycycle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_13630 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Natural levels in return maps of elementary polycycles Yeung, Melvin Dynamical Systems 34E99 We will provide a proof of a known specific case of Dulac's Theorem in the style of Ilyashenko. From this we derive a quasi-analyticity result for some return maps of polycycles and we give a Structural Theorem for the formal asymptotics of such a polycycle. |
| title | Natural levels in return maps of elementary polycycles |
| topic | Dynamical Systems 34E99 |
| url | https://arxiv.org/abs/2409.13630 |