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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2405.04281 |
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| _version_ | 1866915006712381440 |
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| author | Gasull, Armengol Santana, Paulo |
| author_facet | Gasull, Armengol Santana, Paulo |
| contents | We study the number of limit cycles that a planar polynomial vector field can have as a function of its number $m$ of monomials. We prove that the number of limit cycles increases at least quadratically with $m$ and we provide good lower bounds for $m\leqslant10$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04281 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a variant of Hilbert's 16th problem Gasull, Armengol Santana, Paulo Dynamical Systems We study the number of limit cycles that a planar polynomial vector field can have as a function of its number $m$ of monomials. We prove that the number of limit cycles increases at least quadratically with $m$ and we provide good lower bounds for $m\leqslant10$. |
| title | On a variant of Hilbert's 16th problem |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2405.04281 |