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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.06100 |
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| _version_ | 1866917318157664256 |
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| author | Zhang, Jun |
| author_facet | Zhang, Jun |
| contents | The well-known Newton-Puiseux Theorem states that each real branch of a planar real analytic curve admits a Puiseux expansion. We generalize this result to characteristic orbit of an isolated singularity of a planar real analytic vector field and prove that each characteristic orbit has a `power-log' expansion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06100 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Asymptotic expansions of characteristic orbits of planar real analytic vector fields Zhang, Jun Dynamical Systems The well-known Newton-Puiseux Theorem states that each real branch of a planar real analytic curve admits a Puiseux expansion. We generalize this result to characteristic orbit of an isolated singularity of a planar real analytic vector field and prove that each characteristic orbit has a `power-log' expansion. |
| title | Asymptotic expansions of characteristic orbits of planar real analytic vector fields |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2603.06100 |