The easiest polynomial differential systems in R^3 having an invariant cylinder
This paper answers the following two questions: What are the easiest polynomial differential systems in R3 having an invariant hyperbolic, parabolic or elliptic cylinder?, and for such polynomial differential systems what are their phase portraits on such invariant cylinders?
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:312860 |
| Acceso en línea: | https://ddd.uab.cat/record/312860 https://dx.doi.org/urn:doi:10.17398/2605-5686.40.1.121 |
| Access Level: | acceso abierto |
| Palabra clave: | Polynomial differential systems in R3 Hyperbolic cylinder Parabolic cylinder Elliptic cylinder |
| Sumario: | This paper answers the following two questions: What are the easiest polynomial differential systems in R3 having an invariant hyperbolic, parabolic or elliptic cylinder?, and for such polynomial differential systems what are their phase portraits on such invariant cylinders? |
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