Global Nilpotent Reversible Centers with Cubic Nonlinearities Symmetric with Respect to the x-Axis
Let P3(x, y) and Q3(x, y) be polynomials of degree three without constant or linear terms. We characterize the global centers of all polynomial differential systems of the form x˙ = y + P3(x, y), y˙ = Q3(x, y) that are reversible and invariant with respect to the x-axis.
| 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:299742 |
| Acceso en línea: | https://ddd.uab.cat/record/299742 https://dx.doi.org/urn:doi:10.1007/s00025-024-02163-x |
| Access Level: | acceso abierto |
| Palabra clave: | Global reversible centers Nilpotent centers Cubic polynomial differential systems |
| Sumario: | Let P3(x, y) and Q3(x, y) be polynomials of degree three without constant or linear terms. We characterize the global centers of all polynomial differential systems of the form x˙ = y + P3(x, y), y˙ = Q3(x, y) that are reversible and invariant with respect to the x-axis. |
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