The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6
In this paper we study the topological phase portraits of polynomial differential systems with a uniform isochronous center, whose nonlinear parts are homogeneous polynomials of degree 6. We obtain all the distinct topological phase portraits in the Poincaré disc. For each phase portrait, we give a...
| 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:307748 |
| Acceso en línea: | https://ddd.uab.cat/record/307748 https://dx.doi.org/urn:doi:10.1007/s10883-024-09703-2 |
| Access Level: | acceso abierto |
| Palabra clave: | Uniform isochronous center Polynomial vector field Phase portrait Separatrix configuration Periodic orbit |
| Sumario: | In this paper we study the topological phase portraits of polynomial differential systems with a uniform isochronous center, whose nonlinear parts are homogeneous polynomials of degree 6. We obtain all the distinct topological phase portraits in the Poincaré disc. For each phase portrait, we give a precise system to realize it. |
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