Global nilpotent reversible centers with cubic nonlinearities symmetric with respect to the y-axis
We classify when the polynomial differential systems of the form x˙= y + P(x, y), y˙= Q(x, y), that are invariant under the change (x, y, t) ↦ (-x, y, -t) (here P3 and Q3 are general polynomials of degree three) have global centers.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:312578 |
| Acceso en línea: | https://ddd.uab.cat/record/312578 https://dx.doi.org/urn:doi:10.1007/s12215-024-01046-y |
| Access Level: | acceso abierto |
| Palabra clave: | Global centers Reversible centers Polynomial differential systems |
| Sumario: | We classify when the polynomial differential systems of the form x˙= y + P(x, y), y˙= Q(x, y), that are invariant under the change (x, y, t) ↦ (-x, y, -t) (here P3 and Q3 are general polynomials of degree three) have global centers. |
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