New solutions of the Poincaré Center Problem in degree 3
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915236364156928 |
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| author | von Bothmer, Hans-Christian |
| author_facet | von Bothmer, Hans-Christian |
| contents | Let $ω$ be a plane autonomous system and C its configuration of algebraic integral curves. If the singularities of C are quasi-homogeneous we we present new criteria that guarantee Darboux integrability. We use this to construct previously unknown components of the center variety in degree 3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01751 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New solutions of the Poincaré Center Problem in degree 3 von Bothmer, Hans-Christian Algebraic Geometry Dynamical Systems 34C05, 12E05 Let $ω$ be a plane autonomous system and C its configuration of algebraic integral curves. If the singularities of C are quasi-homogeneous we we present new criteria that guarantee Darboux integrability. We use this to construct previously unknown components of the center variety in degree 3. |
| title | New solutions of the Poincaré Center Problem in degree 3 |
| topic | Algebraic Geometry Dynamical Systems 34C05, 12E05 |
| url | https://arxiv.org/abs/2409.01751 |